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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
During the phenomenon of resonance
During the phenomenon of resonance
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
If the earth were to spin faster, acceleration due to gravity at the poles
If the earth were to spin faster, acceleration due to gravity at the poles
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Maximum amplitude of message signal in amplitude modulation is 20‌cm. If the amplitude of carrier wave is 40‌cm, then modulation index of modulated wave is
Maximum amplitude of message signal in amplitude modulation is 20‌cm. If the amplitude of carrier wave is 40‌cm, then modulation index of modulated wave is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
If heat engine is filled at temperature 27∘C and heat of 100k‌cal is taken from source at temperature 677∘C. Work done (in J) is
If heat engine is filled at temperature 27∘C and heat of 100k‌cal is taken from source at temperature 677∘C. Work done (in J) is
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
During α-decay, atomic mass of parent nuclei is
During α-decay, atomic mass of parent nuclei is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A point object is placed on the optic axis of a convex lens of focal length f at a distance of 2f to the left of it. The diameter of the lens is d. An eye is placed at a distance of 3f to the right of the lens and a distance h below the optic axis. The maximum value of h to see the image is
A point object is placed on the optic axis of a convex lens of focal length f at a distance of 2f to the left of it. The diameter of the lens is d. An eye is placed at a distance of 3f to the right of the lens and a distance h below the optic axis. The maximum value of h to see the image is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
For CE transistor amplifier, the audio signal voltage across the collector resistance of 4kΩ is 5V. If the current amplification factor of the transistor is 100 and base resistance is 2kΩ, then input signal voltage is
For CE transistor amplifier, the audio signal voltage across the collector resistance of 4kΩ is 5V. If the current amplification factor of the transistor is 100 and base resistance is 2kΩ, then input signal voltage is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
From the following p−V diagram, an ideal gas undergoing a change of state from A to B. Four different processes I, II, III and IV as shown in the figure may lead to same change of stat
From the following p−V diagram, an ideal gas undergoing a change of state from A to B. Four different processes I, II, III and IV as shown in the figure may lead to same change of stat
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A copper and a steel wire of same diameter are connected end to end. A deforming force F1 is applied to the wire which causes an elongation of 1‌cm. The two wires will have
A copper and a steel wire of same diameter are connected end to end. A deforming force F1 is applied to the wire which causes an elongation of 1‌cm. The two wires will have
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If kinetic energy of a body is increased by 300%, then percentage change in momentum will be
If kinetic energy of a body is increased by 300%, then percentage change in momentum will be
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Which of the following diagram represents the variation of the electric field with distance r from the centre of a uniformly charged non-conducting sphere of radius R ?
Which of the following diagram represents the variation of the electric field with distance r from the centre of a uniformly charged non-conducting sphere of radius R ?
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
A DC ammeter and a hot wire ammeter are connected to a circuit in series. When a direct current is passed through circuit, the DC ammeter shows 6A. When AC current flows through circuit, what is the average readings in DC ammeter and the AC ammeter, if DC and AC currents flow simultaneously through the circuit?
A DC ammeter and a hot wire ammeter are connected to a circuit in series. When a direct current is passed through circuit, the DC ammeter shows 6A. When AC current flows through circuit, what is the average readings in DC ammeter and the AC ammeter, if DC and AC currents flow simultaneously through the circuit?
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A bullet of mass m hits a mass M and gets embedded in it. If the block rises to a height h as a result of this collision, the velocity of the bullet before collision is
A bullet of mass m hits a mass M and gets embedded in it. If the block rises to a height h as a result of this collision, the velocity of the bullet before collision is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A particle of mass m is moving in a horizontal circle of radius r under a centripetal force given by (‌
−K
r2
), where K is a constant. Then
A particle of mass m is moving in a horizontal circle of radius r under a centripetal force given by (‌
−K
r2
), where K is a constant. Then
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
The height at which the acceleration due to gravity becomes ‌
g
16
 (where, g= acceleration due to gravity on the surface of the earth) in terms of R is, if R is the radius of earth.
The height at which the acceleration due to gravity becomes ‌
g
16
 (where, g= acceleration due to gravity on the surface of the earth) in terms of R is, if R is the radius of earth.
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Which of the following series spectrum of hydrogen atom lies in ultraviolet region?
Which of the following series spectrum of hydrogen atom lies in ultraviolet region?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Speed of electromagnetic wave in a medium having relative permittivity εr and relative permeability µr is (speed of light in air, c=3×108m∕ s)
Speed of electromagnetic wave in a medium having relative permittivity εr and relative permeability µr is (speed of light in air, c=3×108m∕ s)
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The wavelength of the second line of Balmer series is 486.4‌nm. What is the wavelength of the first line of Lyman series?
The wavelength of the second line of Balmer series is 486.4‌nm. What is the wavelength of the first line of Lyman series?
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A bat emitting an ultrasonic wave of frequency 4.5×104‌Hz at speed of 6m∕ s between two parallel walls. The two frequencies heard by the bat will be
A bat emitting an ultrasonic wave of frequency 4.5×104‌Hz at speed of 6m∕ s between two parallel walls. The two frequencies heard by the bat will be
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A disc of moment of inertia 4‌kg−m2 revolving with 16‌rad∕ s is placed on another disc of moment of inertia 8‌Kg−m2 revolving 4‌rad∕ s. The angular frequency of composite disc
A disc of moment of inertia 4‌kg−m2 revolving with 16‌rad∕ s is placed on another disc of moment of inertia 8‌Kg−m2 revolving 4‌rad∕ s. The angular frequency of composite disc
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
An electric current I enters and leaves a uniform circular wire of radius r through diametrically opposite points. A charged particle q moves along the axis of circular wire passes through its centre with speed v. The magnetic force on the particle when it passes through the centre has a magnitude
An electric current I enters and leaves a uniform circular wire of radius r through diametrically opposite points. A charged particle q moves along the axis of circular wire passes through its centre with speed v. The magnetic force on the particle when it passes through the centre has a magnitude
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Television frequencies are of the order of 100‌MHz, while radio frequencies are of the order of 1‌MHz. Using these as typical frequencies, the ratio of the emf generated in a loop antenna by a television wave to that generated by a radio wave, if both have equal electric field intensities.
Television frequencies are of the order of 100‌MHz, while radio frequencies are of the order of 1‌MHz. Using these as typical frequencies, the ratio of the emf generated in a loop antenna by a television wave to that generated by a radio wave, if both have equal electric field intensities.
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
A particle is performing simple harmonic motion. Equation of its motion is x=5sin‌(4t−‌
π
6
),x being the displacement from mean position. Velocity (in ms−1 ) of the particle at the instant when its displacement is 3 , will be
A particle is performing simple harmonic motion. Equation of its motion is x=5sin‌(4t−‌
π
6
),x being the displacement from mean position. Velocity (in ms−1 ) of the particle at the instant when its displacement is 3 , will be
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A raft of density 600g∕m3 and mass 120‌kg floats in water. How much weight can be put on the raft to make it just sink?
A raft of density 600g∕m3 and mass 120‌kg floats in water. How much weight can be put on the raft to make it just sink?
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The displacement x of a particle in a straight line motion is given by x=1−t−t2. The correct representation of the motion is
The displacement x of a particle in a straight line motion is given by x=1−t−t2. The correct representation of the motion is
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A galvanometer having a resistance of 4Ω is shunted by a wire of resistance 2Ω. If the total current is 1.5A, the current passing through shunt is
A galvanometer having a resistance of 4Ω is shunted by a wire of resistance 2Ω. If the total current is 1.5A, the current passing through shunt is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
In Young's double slit experiment, the two slits are separated by 0.2‌mm and they are 1m from the screen. The wavelength of the light used is 500‌nm. The distance between 6 th maxima and 10th minima on the screen is closest to
In Young's double slit experiment, the two slits are separated by 0.2‌mm and they are 1m from the screen. The wavelength of the light used is 500‌nm. The distance between 6 th maxima and 10th minima on the screen is closest to
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A series L−C−R circuit is connected to an AC source of 220V and 50‌Hz shown in figure. If the readings of the three voltmeters V1,V2 and V3 are 65V,415V and 204V respectively, the value of inductance and capacitance will be
A series L−C−R circuit is connected to an AC source of 220V and 50‌Hz shown in figure. If the readings of the three voltmeters V1,V2 and V3 are 65V,415V and 204V respectively, the value of inductance and capacitance will be
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A regular hexagon of side m which is a wire of length 24m is coiled on that hexagon. If current in hexagon is I, then the magnetic moment,
A regular hexagon of side m which is a wire of length 24m is coiled on that hexagon. If current in hexagon is I, then the magnetic moment,
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Which of the following gate give the similar output as the output of circuit diagram shown in the figure?
Which of the following gate give the similar output as the output of circuit diagram shown in the figure?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Water is poured in a tank through a cylindrical tube of area of cross-section A and ejecting water at a constant speed 4m∕ s. The tank contains a hole of area ‌
A
2
 at bottom. Level of water in the tank will not go up beyond
Water is poured in a tank through a cylindrical tube of area of cross-section A and ejecting water at a constant speed 4m∕ s. The tank contains a hole of area ‌
A
2
 at bottom. Level of water in the tank will not go up beyond
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
If R and C denote resistance and capacitance of a material, then the dimension of CR will be :
If R and C denote resistance and capacitance of a material, then the dimension of CR will be :
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
An ideal gas is taken through the cycle A→B→C→A, as shown in the figure. If the net heat supplied to the gas in the cycle is 5J, the work done by the gas in the process C→A is,
An ideal gas is taken through the cycle A→B→C→A, as shown in the figure. If the net heat supplied to the gas in the cycle is 5J, the work done by the gas in the process C→A is,
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remaining portion is at a distance (from the centre)
From a circular disc of radius R, a square is cut out with a radius as its diagonal. The centre of mass of remaining portion is at a distance (from the centre)
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
A bar magnet of length 6‌cm, is placed in the magnetic meridian with N pole, pointing towards the geographical north. Two neutral points, separated by a distance of 8‌cm are obtained on the equitorial axis of the magnet. If BH=1.2×10−5T. Then the pole strength of the magnet is
A bar magnet of length 6‌cm, is placed in the magnetic meridian with N pole, pointing towards the geographical north. Two neutral points, separated by a distance of 8‌cm are obtained on the equitorial axis of the magnet. If BH=1.2×10−5T. Then the pole strength of the magnet is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A force F applied on the wire of radius r and length L and change in the length of the wire is l. If the same force F is applied on the wire of the same material and radius 4r and length 4l, then change in length of the other wire is,
A force F applied on the wire of radius r and length L and change in the length of the wire is l. If the same force F is applied on the wire of the same material and radius 4r and length 4l, then change in length of the other wire is,
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
A 30‌mW laser beam has a cross-sectional area of 15mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by [
‌ Permittivity of space, ‌ε0=9×10−12
‌ Speed of light, ‌c=3×108m∕ s
]
A 30‌mW laser beam has a cross-sectional area of 15mm2. The magnitude of the maximum electric field in this electromagnetic wave is given by [
‌ Permittivity of space, ‌ε0=9×10−12
‌ Speed of light, ‌c=3×108m∕ s
]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The average kinetic energy of a molecule in air at room temperature of 20∘C
The average kinetic energy of a molecule in air at room temperature of 20∘C
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
Two guns P and Q can fire bullets at speeds 2‌km∕ s and 4‌km∕ s, respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum or areas covered by the bullets fired by the two guns, on the ground is
Two guns P and Q can fire bullets at speeds 2‌km∕ s and 4‌km∕ s, respectively. From a point on a horizontal ground, they are fired in all possible directions. The ratio of maximum or areas covered by the bullets fired by the two guns, on the ground is
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
A cell of emf 2V is connected with a load of resistance 1.5Ω. The power delivered by the cell to the load is maximum, then power transferred to the load is
A cell of emf 2V is connected with a load of resistance 1.5Ω. The power delivered by the cell to the load is maximum, then power transferred to the load is
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A plane glass mirror of thickness 3‌cm of material of µ=‌
3
2
 is silvered on the black surface. When a point object is placed 9‌cm from the front surface of the mirror, then the position of the brightest image from the front surface is
A plane glass mirror of thickness 3‌cm of material of µ=‌
3
2
 is silvered on the black surface. When a point object is placed 9‌cm from the front surface of the mirror, then the position of the brightest image from the front surface is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Ultraviolet light of wavelength 99‌mm falls on a metal plate of work function 1.0‌eV. If the mass of the electron is 9.1×10−31‌kg, the wavelength of the fastest photoelectron emitted is
Ultraviolet light of wavelength 99‌mm falls on a metal plate of work function 1.0‌eV. If the mass of the electron is 9.1×10−31‌kg, the wavelength of the fastest photoelectron emitted is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
In Young's double slit experiment, the fringe width is found to be 0.4‌mm. If the whole apparatus is immersed in a liquid of refractive index ‌
4
3
 without changing geometrical arrangement, the new fringe width will be
In Young's double slit experiment, the fringe width is found to be 0.4‌mm. If the whole apparatus is immersed in a liquid of refractive index ‌
4
3
 without changing geometrical arrangement, the new fringe width will be
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
There are two identical containers C1 and C2 containing to identical gases. Gas in C1 is reduced to half of its original volume adiabatically, while the gas in container C2 is also reduced to half of its initial volume isothermally. Find the ratio of final pressure in these containers. ( γ be the adiabatic constant).
There are two identical containers C1 and C2 containing to identical gases. Gas in C1 is reduced to half of its original volume adiabatically, while the gas in container C2 is also reduced to half of its initial volume isothermally. Find the ratio of final pressure in these containers. ( γ be the adiabatic constant).
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If K1 and K2 are maximum kinetic energies of photoelectrons emitted when lights of wavelengths λ1 and λ2, respectively incident on a metallic surface and λ1=3λ2, then
If K1 and K2 are maximum kinetic energies of photoelectrons emitted when lights of wavelengths λ1 and λ2, respectively incident on a metallic surface and λ1=3λ2, then
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
A car is moving with a speed of 54‌km∕h. If after 3 s, the driver applies brakes and it stops, then how much distance is covered by the car before coming to rest?
A car is moving with a speed of 54‌km∕h. If after 3 s, the driver applies brakes and it stops, then how much distance is covered by the car before coming to rest?
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A source of sound emits sound waves at frequency f0. It is moving towards an observer with fixed speed vs(vs<v., where v is the speed of sound in air.) If the observers were to move towards the source with speed v0, one of the following two graphs (A and B) will give the correct variation of the frequency f heard by the observer as v0 is change
The variation of f with v0 is given correctly by
A source of sound emits sound waves at frequency f0. It is moving towards an observer with fixed speed vs(vs<v., where v is the speed of sound in air.) If the observers were to move towards the source with speed v0, one of the following two graphs (A and B) will give the correct variation of the frequency f heard by the observer as v0 is change

The variation of f with v0 is given correctly by
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
In which mode of transmission, the heat waves travel along straight line with the speed of light?
In which mode of transmission, the heat waves travel along straight line with the speed of light?
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The escape velocity of a projectile on the earth's surface is 11.2‌km∕ s. A body is projected out with thrice this speed. The speed of the body far away from the earth will be
The escape velocity of a projectile on the earth's surface is 11.2‌km∕ s. A body is projected out with thrice this speed. The speed of the body far away from the earth will be
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
Consider a compound slab consisting of two different materials having equal lengths, thickness and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is
Consider a compound slab consisting of two different materials having equal lengths, thickness and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
A circular coil of 20 turns and radius 10‌cm is placed in a uniform magnetic field of 0.10T normal to the plane of the coil. If the current in the coil is 5A, then the average force on each electron in the coil due to the magnetic field is
A circular coil of 20 turns and radius 10‌cm is placed in a uniform magnetic field of 0.10T normal to the plane of the coil. If the current in the coil is 5A, then the average force on each electron in the coil due to the magnetic field is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is ‌
2
3
 of the weight?
With what minimum acceleration can a fireman slide down a rope while breaking strength of the rope is ‌
2
3
 of the weight?
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The string of length 2m is fixed at both ends. If the string vibrates in its fourth normal mode with a frequency of 500‌Hz, then the waves would travel on it with a velocity of
The string of length 2m is fixed at both ends. If the string vibrates in its fourth normal mode with a frequency of 500‌Hz, then the waves would travel on it with a velocity of
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
An alternating voltage =200sin‌100t is applied to a series combination of R=30Ω and an inductor of 400‌mH. The power factor of the circuit is,
An alternating voltage =200sin‌100t is applied to a series combination of R=30Ω and an inductor of 400‌mH. The power factor of the circuit is,
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
In the network shown in figure, the equivalent capacitance between points P and Q is
In the network shown in figure, the equivalent capacitance between points P and Q is
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The resultant of two forces acting at an angle of 120∘ is 10‌kg-W and is perpendicular to one of the forces. That force is
The resultant of two forces acting at an angle of 120∘ is 10‌kg-W and is perpendicular to one of the forces. That force is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Choose the incorrect statements.
Choose the incorrect statements.
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Charge on electron is
Charge on electron is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
Two charged spheres of −20µC and 60µC are kept at a certain distance. They are touched and kept again at the same distance. What is the ratio of force experienced before and after?
Two charged spheres of −20µC and 60µC are kept at a certain distance. They are touched and kept again at the same distance. What is the ratio of force experienced before and after?
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The AC voltage across a resistance can be measured using a
The AC voltage across a resistance can be measured using a
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
.............. is unstable at cooking temperature, whereas the control of sweetness of food is difficult while using ..........
.............. is unstable at cooking temperature, whereas the control of sweetness of food is difficult while using ..........
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The chemical formula of Lucas reagent is
The chemical formula of Lucas reagent is
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
Give the correct order of acidity of
Give the correct order of acidity of
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
The process of aggregation of colloidal particles into an insoluble precipitate by the addition of suitable electrolyte is called
The process of aggregation of colloidal particles into an insoluble precipitate by the addition of suitable electrolyte is called
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
Alkyl halides undergoing SN2 reaction do inverse
Alkyl halides undergoing SN2 reaction do inverse
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
X and Y in the following reactions are
X and Y in the following reactions are

Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
Doping of silicon (Si) with indium (In) leads to the formation of
Doping of silicon (Si) with indium (In) leads to the formation of
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
For the reaction, H2(g)+I2(g)⇌2‌HI(g) the position of equilibrium can be shifted to the right by
For the reaction, H2(g)+I2(g)⇌2‌HI(g) the position of equilibrium can be shifted to the right by
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
Which of the following are not path functions?
I. H−TS
II. W
II. q
IV. q+W
Which of the following are not path functions?
I. H−TS
II. W
II. q
IV. q+W
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
The system that forms maximum boiling azeotropes is
The system that forms maximum boiling azeotropes is
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
KMnO4 acts as an oxidising agent in acidic medium. The number of moles of KMnO4 that will be required to react with one mole of oxalate ions (to form CO2 ) in acidic solution is
KMnO4 acts as an oxidising agent in acidic medium. The number of moles of KMnO4 that will be required to react with one mole of oxalate ions (to form CO2 ) in acidic solution is
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
What can be A and B in the following reaction?<
What can be A and B in the following reaction?<
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
Which of the following is a false statement?
Which of the following is a false statement?
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
Which of the following molecules does not exhibit dipole moment?
(i) CCl4
(ii) CO2
(iii) NH3
(iv) CHCl3
(v) H2O
(vi) CH3−O−CH3
Which of the following molecules does not exhibit dipole moment?
(i) CCl4
(ii) CO2
(iii) NH3
(iv) CHCl3
(v) H2O
(vi) CH3−O−CH3
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
Which of the following is highly basic?
Which of the following is highly basic?
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
The relation between work done in reversible and irreversible process is
The relation between work done in reversible and irreversible process is
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
What is the function platelets?
What is the function platelets?
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
The monosaccharides of maltose is
The monosaccharides of maltose is
Q.79 Correct
Q.79 In-correct
Q.79 Unattempt
Which of the following does not affect solubility of a gas in liquid?
Which of the following does not affect solubility of a gas in liquid?
Q.80 Correct
Q.80 In-correct
Q.80 Unattempt
Which of the following statement is incorrect for H2O2 structure?
Which of the following statement is incorrect for H2O2 structure?
Q.81 Correct
Q.81 In-correct
Q.81 Unattempt
A newly prepared radioactive nuclide has a decay constant of 6.93 s−1. What is the half-life of the nuclide?
A newly prepared radioactive nuclide has a decay constant of 6.93 s−1. What is the half-life of the nuclide?
Q.82 Correct
Q.82 In-correct
Q.82 Unattempt
Which of the following show both Frenkel and Schottky defect?
Which of the following show both Frenkel and Schottky defect?
Q.83 Correct
Q.83 In-correct
Q.83 Unattempt
The essential amino acid are
(i) Leucine
(ii) Glutamic acid
(iii) Asparagine
(iv) Valine
correct option is
The essential amino acid are
(i) Leucine
(ii) Glutamic acid
(iii) Asparagine
(iv) Valine
correct option is
Q.84 Correct
Q.84 In-correct
Q.84 Unattempt
Increasing order of bond order of oxygen and its ions is
Increasing order of bond order of oxygen and its ions is
Q.85 Correct
Q.85 In-correct
Q.85 Unattempt
Minimum number of nodes are present in
Minimum number of nodes are present in
Q.86 Correct
Q.86 In-correct
Q.86 Unattempt
pH of 10−3M solution of KOH is
pH of 10−3M solution of KOH is
Q.87 Correct
Q.87 In-correct
Q.87 Unattempt
Barbiturates are used to treat
Barbiturates are used to treat
Q.88 Correct
Q.88 In-correct
Q.88 Unattempt
Which of the product is not possible in Wurtz reaction?
Which of the product is not possible in Wurtz reaction?
Q.89 Correct
Q.89 In-correct
Q.89 Unattempt
The colour of CrO42− changes to Cr2O72− is
The colour of CrO42− changes to Cr2O72− is
Q.90 Correct
Q.90 In-correct
Q.90 Unattempt
On treatment of glucose with bromine water the product formed is
On treatment of glucose with bromine water the product formed is
Q.91 Correct
Q.91 In-correct
Q.91 Unattempt
Which among the following forms minimum boiling azeotropes?
(i) Heptane + Octane
(ii) Water + Nitric acid
(iii) Ethanol + Water
(iv) Acetone + Carbon dioxide
Which among the following forms minimum boiling azeotropes?
(i) Heptane + Octane
(ii) Water + Nitric acid
(iii) Ethanol + Water
(iv) Acetone + Carbon dioxide
Q.92 Correct
Q.92 In-correct
Q.92 Unattempt
Which of the following statement is incorrect about activation energy?
boldsymbol‌a. Higher the activation energy slower is the rate of reaction.
Which of the following statement is incorrect about activation energy?
boldsymbol‌a. Higher the activation energy slower is the rate of reaction.
Q.93 Correct
Q.93 In-correct
Q.93 Unattempt
The P−O bond order in PO43− is
The P−O bond order in PO43− is
Q.94 Correct
Q.94 In-correct
Q.94 Unattempt
O2−,F−,Mg2+,Al3+,O2,F2. How many of the species given above isoelectronic?
O2−,F−,Mg2+,Al3+,O2,F2. How many of the species given above isoelectronic?
Q.95 Correct
Q.95 In-correct
Q.95 Unattempt
How many atoms are present in hcp per unit cell?
How many atoms are present in hcp per unit cell?
Q.96 Correct
Q.96 In-correct
Q.96 Unattempt
The equilibrium constant, KC for 3C2H2(g)⇌C6H6(g) is 4L2mol−2. If the equilibrium concentration of benzene is 0.5mol−1 than what is the value of concentration of ethylene?
The equilibrium constant, KC for 3C2H2(g)⇌C6H6(g) is 4L2mol−2. If the equilibrium concentration of benzene is 0.5mol−1 than what is the value of concentration of ethylene?
Q.97 Correct
Q.97 In-correct
Q.97 Unattempt
Which of the following artificial sweeteners can be used in soft drinks only?
Which of the following artificial sweeteners can be used in soft drinks only?
Q.98 Correct
Q.98 In-correct
Q.98 Unattempt
Identify the product formed in the given reaction.
Identify the product formed in the given reaction.

Q.99 Correct
Q.99 In-correct
Q.99 Unattempt
Which of the following gas readily de-colourises the acidified KMnO4 solution?
Which of the following gas readily de-colourises the acidified KMnO4 solution?
Q.100 Correct
Q.100 In-correct
Q.100 Unattempt
Which of the following gas readily de-colourises the acidified KMnO4 solution?
Which of the following gas readily de-colourises the acidified KMnO4 solution?
Q.101 Correct
Q.101 In-correct
Q.101 Unattempt
Which of the following is used to prepare the inner lining of a blast furnance?
Which of the following is used to prepare the inner lining of a blast furnance?
Q.102 Correct
Q.102 In-correct
Q.102 Unattempt
What will be the emf of the following cell at 25∘C ?
Fe∕Fe2+(0.001M)||
H+(0.01M)∣H2(g)
(1 Bar)∣Pt(s)
E(Fe2+∕Fe)∘=−0.44V;E(H+∕H2)∘=0.00V
What will be the emf of the following cell at 25∘C ?
Fe∕Fe2+(0.001M)||
H+(0.01M)∣H2(g)
(1 Bar)∣Pt(s)
E(Fe2+∕Fe)∘=−0.44V;E(H+∕H2)∘=0.00V
Q.103 Correct
Q.103 In-correct
Q.103 Unattempt
Which of the following vitamin is responsible for beri-beri disease?
Which of the following vitamin is responsible for beri-beri disease?
Q.104 Correct
Q.104 In-correct
Q.104 Unattempt
Find the product formed for the given reaction.
Find the product formed for the given reaction.
Q.105 Correct
Q.105 In-correct
Q.105 Unattempt
In which of the following changes, entropy decreases?
In which of the following changes, entropy decreases?
Q.106 Correct
Q.106 In-correct
Q.106 Unattempt
Which of the following is added to soaps to impart antiseptic properties?
Which of the following is added to soaps to impart antiseptic properties?
Q.107 Correct
Q.107 In-correct
Q.107 Unattempt
Which among the following will not liberate nitrogen on reaction with nitrous acid?
Which among the following will not liberate nitrogen on reaction with nitrous acid?
Q.108 Correct
Q.108 In-correct
Q.108 Unattempt
- The complex which does not show optical isomerism is
- The complex which does not show optical isomerism is
Q.109 Correct
Q.109 In-correct
Q.109 Unattempt
. What will be the density of N2 gas at 230∘C and 3‌atm pressure? (R=0.082L‌atm‌K−1‌mol−1)
. What will be the density of N2 gas at 230∘C and 3‌atm pressure? (R=0.082L‌atm‌K−1‌mol−1)
Q.110 Correct
Q.110 In-correct
Q.110 Unattempt
The solution which have lowest freezing point is
The solution which have lowest freezing point is
Q.111 Correct
Q.111 In-correct
Q.111 Unattempt
Calculate the molar conductance of 0.025M aqueous solution of calcium chloride at 25∘C. The specific conductance of calcium chloride is 12.04×10−2Sm−1
Calculate the molar conductance of 0.025M aqueous solution of calcium chloride at 25∘C. The specific conductance of calcium chloride is 12.04×10−2Sm−1
Q.112 Correct
Q.112 In-correct
Q.112 Unattempt
For the reaction 2N2O5→4NO2+O2.
If inital pressure is 100‌atm and rate constant k is 3.38×10−5 s−1. After 20‌min the final pressure of N2O5 will be
For the reaction 2N2O5→4NO2+O2.
If inital pressure is 100‌atm and rate constant k is 3.38×10−5 s−1. After 20‌min the final pressure of N2O5 will be
Q.113 Correct
Q.113 In-correct
Q.113 Unattempt
The difference between heat capacity at constant pressure and heat capacity at constant volume is
The difference between heat capacity at constant pressure and heat capacity at constant volume is
Q.114 Correct
Q.114 In-correct
Q.114 Unattempt
Which of the following gas is responsible for acid rain?
Which of the following gas is responsible for acid rain?
Q.115 Correct
Q.115 In-correct
Q.115 Unattempt
Which of the following compound does not exists?
Which of the following compound does not exists?
Q.116 Correct
Q.116 In-correct
Q.116 Unattempt
The major product in the given reaction is
The major product in the given reaction is
Q.117 Correct
Q.117 In-correct
Q.117 Unattempt
The spectrum of He+is similar to
The spectrum of He+is similar to
Q.118 Correct
Q.118 In-correct
Q.118 Unattempt
The Paschen series of hydrogen spectrum lies in which region?
The Paschen series of hydrogen spectrum lies in which region?
Q.119 Correct
Q.119 In-correct
Q.119 Unattempt
The oxidation state of nickel in [Ni(CO4)] is
The oxidation state of nickel in [Ni(CO4)] is
Q.120 Correct
Q.120 In-correct
Q.120 Unattempt
The correct condition for physical adsorption is
The correct condition for physical adsorption is
Q.121 Correct
Q.121 In-correct
Q.121 Unattempt
The value of 3log45−5log43 is
The value of 3log45−5log43 is
Q.122 Correct
Q.122 In-correct
Q.122 Unattempt
If the tangent to the curve xy+ax+by=0 at (1,1) is inclined at angle tan−12 with X-axis, then
If the tangent to the curve xy+ax+by=0 at (1,1) is inclined at angle tan−12 with X-axis, then
Q.123 Correct
Q.123 In-correct
Q.123 Unattempt
If
lim
x→0
‌
(1+a3)+8e1∕x
1+(1−b3)e1∕x
=2, then
If
lim
x→0
‌
(1+a3)+8e1∕x
1+(1−b3)e1∕x
=2, then
Q.124 Correct
Q.124 In-correct
Q.124 Unattempt
If two circles (x−1)2+(y−3)2=r2 and x2+y2−8x+2y+8=0
If two circles (x−1)2+(y−3)2=r2 and x2+y2−8x+2y+8=0
Q.125 Correct
Q.125 In-correct
Q.125 Unattempt
The approximate value of (0.007)1∕3 is
The approximate value of (0.007)1∕3 is
Q.126 Correct
Q.126 In-correct
Q.126 Unattempt
The circle x2+y2+4x−7y+12=0 cuts an intercept on Y-axis of length
The circle x2+y2+4x−7y+12=0 cuts an intercept on Y-axis of length
Q.127 Correct
Q.127 In-correct
Q.127 Unattempt
Let f(x)=a−(x−3)8∕9, then maxima of f(x) is
Let f(x)=a−(x−3)8∕9, then maxima of f(x) is
Q.128 Correct
Q.128 In-correct
Q.128 Unattempt
.If the derivative of the function f(x)={
bx2+ax+4;‌x≥−1
ax2+b;‌x<−1
. is everywhere continuous, then
.If the derivative of the function f(x)={
bx2+ax+4;‌x≥−1
ax2+b;‌x<−1
. is everywhere continuous, then
Q.129 Correct
Q.129 In-correct
Q.129 Unattempt
If
lim
x→∞
(1+‌
a
x
+‌
b
x2
)2x=e2, then
If
lim
x→∞
(1+‌
a
x
+‌
b
x2
)2x=e2, then
Q.130 Correct
Q.130 In-correct
Q.130 Unattempt
S≡x2+y2+2x+3y+1=0‌ and ‌
S′≡x2+y2+4x+3y+2=0 are two circles.
The point (−3,−2) lies
S≡x2+y2+2x+3y+1=0‌ and ‌
S′≡x2+y2+4x+3y+2=0 are two circles.
The point (−3,−2) lies
Q.131 Correct
Q.131 In-correct
Q.131 Unattempt
The probability of choosing randomly a number c from the set {1,2,3,...9} such that the quadratic equation x2+4x+c=0 has real roots, is
The probability of choosing randomly a number c from the set {1,2,3,...9} such that the quadratic equation x2+4x+c=0 has real roots, is
Q.132 Correct
Q.132 In-correct
Q.132 Unattempt
Shade the feasible region for the inequations 6x+4y≤120,3x+10y≤180,x,y≥0 in a rough figure.
Shade the feasible region for the inequations 6x+4y≤120,3x+10y≤180,x,y≥0 in a rough figure.
Q.133 Correct
Q.133 In-correct
Q.133 Unattempt
The maximum of Z is where, Z=4x+2y subject to constraints 4x+2y≥46,x+3y≤24 and x,y≥0 is
The maximum of Z is where, Z=4x+2y subject to constraints 4x+2y≥46,x+3y≤24 and x,y≥0 is
Q.134 Correct
Q.134 In-correct
Q.134 Unattempt
If for any 2×2 square matrix A, A(adj‌A)=[
80
08
], then find the value of det(A).
If for any 2×2 square matrix A, A(adj‌A)=[
80
08
], then find the value of det(A).
Q.135 Correct
Q.135 In-correct
Q.135 Unattempt
If A=[
a00
0a0
00a
], then |A|‌adj‌A∣ is equal to
If A=[
a00
0a0
00a
], then |A|‌adj‌A∣ is equal to
Q.136 Correct
Q.136 In-correct
Q.136 Unattempt
If A=[
2−k2
13−k
] is a singular matrix, then the value of 5k−k2 is
If A=[
2−k2
13−k
] is a singular matrix, then the value of 5k−k2 is
Q.137 Correct
Q.137 In-correct
Q.137 Unattempt
If θ be the angle between the vectors a=2
^
i
+2
^
j
−
^
k
 and b=6
^
i
−3
^
j
+2
^
k
, then
If θ be the angle between the vectors a=2
^
i
+2
^
j
−
^
k
 and b=6
^
i
−3
^
j
+2
^
k
, then
Q.138 Correct
Q.138 In-correct
Q.138 Unattempt
If x,y and z are non-zero real numbers and a=x
^
i
+2
^
j
,b=y
^
j
+3
^
k
 and c=x
^
i
+y
^
j
+z
^
k
 are such that a×b=z
^
i
−3
^
j
+
^
k
, then [abc] is equal to
If x,y and z are non-zero real numbers and a=x
^
i
+2
^
j
,b=y
^
j
+3
^
k
 and c=x
^
i
+y
^
j
+z
^
k
 are such that a×b=z
^
i
−3
^
j
+
^
k
, then [abc] is equal to
Q.139 Correct
Q.139 In-correct
Q.139 Unattempt
Maximum value of z=12x+3y, subject to constraints x≥0,y≥0,x+y≤5 and 3x+y≤9 is
Maximum value of z=12x+3y, subject to constraints x≥0,y≥0,x+y≤5 and 3x+y≤9 is
Q.140 Correct
Q.140 In-correct
Q.140 Unattempt
If p=
^
i
+
^
j
,q=4
^
k
−
^
j
 and r=
^
i
+
^
k
, then the unit vector in the direction of 3p+q−2r is
If p=
^
i
+
^
j
,q=4
^
k
−
^
j
 and r=
^
i
+
^
k
, then the unit vector in the direction of 3p+q−2r is
Q.141 Correct
Q.141 In-correct
Q.141 Unattempt
The line ‌
x−3
4
=‌
y−4
5
=‌
z−5
6
 is parallel to the plane
The line ‌
x−3
4
=‌
y−4
5
=‌
z−5
6
 is parallel to the plane
Q.142 Correct
Q.142 In-correct
Q.142 Unattempt
∫‌
1
x√ax−x2
‌dx is
∫‌
1
x√ax−x2
‌dx is
Q.143 Correct
Q.143 In-correct
Q.143 Unattempt
3. ∫‌
3x
√1−9x
‌dx is equal to
3. ∫‌
3x
√1−9x
‌dx is equal to
Q.144 Correct
Q.144 In-correct
Q.144 Unattempt
‌
π
2
∫
−‌
π
2
cos‌x‌dx
‌
π
2
∫
−‌
π
2
cos‌x‌dx
Q.145 Correct
Q.145 In-correct
Q.145 Unattempt
The angle between the lines ‌
x+4
3
=‌
y−1
5
=‌
z+3
4
 and ‌
x+1
1
=‌
y−4
1
=‌
z−5
2
 is
The angle between the lines ‌
x+4
3
=‌
y−1
5
=‌
z+3
4
 and ‌
x+1
1
=‌
y−4
1
=‌
z−5
2
 is
Q.146 Correct
Q.146 In-correct
Q.146 Unattempt
.The point of intersection of the lines ‌
x−1
1
=‌
y−1
2
=‌
z−2
3
 and ‌
x−5
2
=‌
y−2
1
=z is
.The point of intersection of the lines ‌
x−1
1
=‌
y−1
2
=‌
z−2
3
 and ‌
x−5
2
=‌
y−2
1
=z is
Q.147 Correct
Q.147 In-correct
Q.147 Unattempt
Five persons A,B,C,D and E are in queue of a shop. The Probability that A and B are always together is
Five persons A,B,C,D and E are in queue of a shop. The Probability that A and B are always together is
Q.148 Correct
Q.148 In-correct
Q.148 Unattempt
If the probability for A to fail in an examination is 0.2 and that for B is 0.3 , then the probability that either A or B fail is
If the probability for A to fail in an examination is 0.2 and that for B is 0.3 , then the probability that either A or B fail is
Q.149 Correct
Q.149 In-correct
Q.149 Unattempt
Three vertices are chosen randomly from the seven vertices of a regular 7 -sided polygon. The probability that they form the vertices of an isosceles triangle is
Three vertices are chosen randomly from the seven vertices of a regular 7 -sided polygon. The probability that they form the vertices of an isosceles triangle is
Q.150 Correct
Q.150 In-correct
Q.150 Unattempt
If A,B and C are three mutually exclusive and exhaustive events such that P(A)=2P(B)=3P(C). What is P(B) ?
If A,B and C are three mutually exclusive and exhaustive events such that P(A)=2P(B)=3P(C). What is P(B) ?
Q.151 Correct
Q.151 In-correct
Q.151 Unattempt
If Un+1=3Un−2Un−1 and U0=2,U1=3, then Un is equal to
If Un+1=3Un−2Un−1 and U0=2,U1=3, then Un is equal to
Q.152 Correct
Q.152 In-correct
Q.152 Unattempt
If 4n+15n+P is divisible by 9 for all n∈N, then the least negative integral value of P is
If 4n+15n+P is divisible by 9 for all n∈N, then the least negative integral value of P is
Q.153 Correct
Q.153 In-correct
Q.153 Unattempt
(23n−1) is divisible by
(23n−1) is divisible by
Q.154 Correct
Q.154 In-correct
Q.154 Unattempt
If S=‌
22−1
2
+‌
32−2
6
+‌
42−3
12
+... upto 10 terms, then S is equal to
If S=‌
22−1
2
+‌
32−2
6
+‌
42−3
12
+... upto 10 terms, then S is equal to
Q.155 Correct
Q.155 In-correct
Q.155 Unattempt
m
∑
n=1
n⋅n ! is equal to
m
∑
n=1
n⋅n ! is equal to
Q.156 Correct
Q.156 In-correct
Q.156 Unattempt
.The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its n terms is 40 . The value of n is
.The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its n terms is 40 . The value of n is
Q.157 Correct
Q.157 In-correct
Q.157 Unattempt
The solution of the differential equation ‌
d2y
dx2
=0 represents
The solution of the differential equation ‌
d2y
dx2
=0 represents
Q.158 Correct
Q.158 In-correct
Q.158 Unattempt
.The solution of the differential equation ‌
dy
dx
+√‌
1−y2
1−x2
=0 is
.The solution of the differential equation ‌
dy
dx
+√‌
1−y2
1−x2
=0 is
Q.159 Correct
Q.159 In-correct
Q.159 Unattempt
.The solution of the differential equation x‌
dy
dx
=cot‌y is
.The solution of the differential equation x‌
dy
dx
=cot‌y is
Q.160 Correct
Q.160 In-correct
Q.160 Unattempt
If ‌nC3=220, then n= ?
If ‌nC3=220, then n= ?
Q.161 Correct
Q.161 In-correct
Q.161 Unattempt
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answer just by guessing, is
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answer just by guessing, is
Q.162 Correct
Q.162 In-correct
Q.162 Unattempt
If sin‌A+sin‌B=a and cos‌A+cos‌B=b, then cos(A+B) equals?
If sin‌A+sin‌B=a and cos‌A+cos‌B=b, then cos(A+B) equals?
Q.163 Correct
Q.163 In-correct
Q.163 Unattempt
What is ‌
cos‌θ
1−tan‌θ
+‌
sin‌θ
1−cot‌θ
 equal to?
What is ‌
cos‌θ
1−tan‌θ
+‌
sin‌θ
1−cot‌θ
 equal to?
Q.164 Correct
Q.164 In-correct
Q.164 Unattempt
Find the general solution of sin‌2x+cos‌x=0.
Find the general solution of sin‌2x+cos‌x=0.
Q.165 Correct
Q.165 In-correct
Q.165 Unattempt
If f(x)+2f(1−x)=x2+5∀ real values of x then f(x) is given by
If f(x)+2f(1−x)=x2+5∀ real values of x then f(x) is given by
Q.166 Correct
Q.166 In-correct
Q.166 Unattempt
If A={3,5,7} and B={1,2,3,5}, then A×B∩B×A is equal to
If A={3,5,7} and B={1,2,3,5}, then A×B∩B×A is equal to
Q.167 Correct
Q.167 In-correct
Q.167 Unattempt
Total number of elements in the power set of A containing 17 elements is
Total number of elements in the power set of A containing 17 elements is
Q.168 Correct
Q.168 In-correct
Q.168 Unattempt
-The argument of ‌
1−i√3
1+i√3
 is
-The argument of ‌
1−i√3
1+i√3
 is
Q.169 Correct
Q.169 In-correct
Q.169 Unattempt
Evaluate [i22+(‌
1
i
)25]3
Evaluate [i22+(‌
1
i
)25]3
Q.170 Correct
Q.170 In-correct
Q.170 Unattempt
(i+√3)100+(i−√3)100+2100 is equal to
(i+√3)100+(i−√3)100+2100 is equal to
Q.171 Correct
Q.171 In-correct
Q.171 Unattempt
There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any two of them?
There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any two of them?
Q.172 Correct
Q.172 In-correct
Q.172 Unattempt
How many numbers greater than 50000 can be formed by using digits 2,5,5,6,7 ?
How many numbers greater than 50000 can be formed by using digits 2,5,5,6,7 ?
Q.173 Correct
Q.173 In-correct
Q.173 Unattempt
A regular polygon of n sides has 170 diagonals, then n is equal to
A regular polygon of n sides has 170 diagonals, then n is equal to
Q.174 Correct
Q.174 In-correct
Q.174 Unattempt
Let the equation of the pair of lines y=px and y=qx can be written as (y−px)(y−qx)=0. Then the equation of the pair of the angle bisectors of the line x2−4xy−5y2=0 is
Let the equation of the pair of lines y=px and y=qx can be written as (y−px)(y−qx)=0. Then the equation of the pair of the angle bisectors of the line x2−4xy−5y2=0 is
Q.175 Correct
Q.175 In-correct
Q.175 Unattempt
The distance of the point (1,2) from the line x+y+2=0 measured along the line parallel to 2x−y=5 is equal to
The distance of the point (1,2) from the line x+y+2=0 measured along the line parallel to 2x−y=5 is equal to
Q.176 Correct
Q.176 In-correct
Q.176 Unattempt
The slope of lines which makes an angle 45∘ with the line 2x−y=−7
The slope of lines which makes an angle 45∘ with the line 2x−y=−7
Q.177 Correct
Q.177 In-correct
Q.177 Unattempt
If 2 and 3 are intercepts of a line L=0, then the distance of L≡0 from the origin is
If 2 and 3 are intercepts of a line L=0, then the distance of L≡0 from the origin is
Q.178 Correct
Q.178 In-correct
Q.178 Unattempt
The total number of terms in the expansion of (x+y)100+(x−y)100 is
The total number of terms in the expansion of (x+y)100+(x−y)100 is
Q.179 Correct
Q.179 In-correct
Q.179 Unattempt
The coefficient of x20 in the expansion of (1+3x+3x2+x3)20 is
The coefficient of x20 in the expansion of (1+3x+3x2+x3)20 is
Q.180 Correct
Q.180 In-correct
Q.180 Unattempt
In the expansion of (1−3x+3x2−x3)2n, the middle term is
In the expansion of (1−3x+3x2−x3)2n, the middle term is
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