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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The statement pattern is logically equivalent to
The statement pattern is logically equivalent to
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
If g(x) is the inverse function of f(x) and f’(x) - then g’(x) is
If g(x) is the inverse function of f(x) and f’(x) - then g’(x) is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
The inverse of the matrix is
The inverse of the matrix is
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
If then
If then
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
O(0, 0), A(1, 2), B(3, 4) are the vertices of ΔOAB. The joint equation of the altitude and median drawn from O is
O(0, 0), A(1, 2), B(3, 4) are the vertices of ΔOAB. The joint equation of the altitude and median drawn from O is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
If
then A-B=
If
then A-B=
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
If α and β are roots of the equation x2+5|x|-6=0 then the value of
|tan-1α -  tan-1β | is
If α and β are roots of the equation x2+5|x|-6=0 then the value of
|tan-1α -  tan-1β | is
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
If be the parameter then
If be the parameter then
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
The point on the curve where the tangent is perpendicular to the line 2x+ y- 5-=0 is
The point on the curve where the tangent is perpendicular to the line 2x+ y- 5-=0 is
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If
then A=
If
then A=
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The number of principal solutions of tan 2θ =1 is
The number of principal solutions of tan 2θ =1 is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The objective function z= 4x1 +5x2 subject to 2x1 +x2 ≥ 7, 2x1 + 3x2 ≤ 15 , x2 ≤ 3 ; x1 , x2 ≥ 0
has minimum value
The objective function z= 4x1 +5x2 subject to 2x1 +x2 ≥ 7, 2x1 + 3x2 ≤ 15 , x2 ≤ 3 ; x1 , x2 ≥ 0
has minimum value
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
If z1 and are z co-ordinates of the points of trisection of ihe segment joining the points A(2, 1, 4), B(- 1. 3, 6) then z1+ z2=
If z1 and are z co-ordinates of the points of trisection of ihe segment joining the points A(2, 1, 4), B(- 1. 3, 6) then z1+ z2=
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The maximum value of is
The maximum value of is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
If c denotes a contradiction and t denotes tautology then dual of the compound statement ~p∧(q∨c) is
If c denotes a contradiction and t denotes tautology then dual of the compound statement ~p∧(q∨c) is
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The differential equation of all parabolas whose axis is y-axis is
The differential equation of all parabolas whose axis is y-axis is
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
, where [x] is greatest integer function.
, where [x] is greatest integer function.
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The objective function of LPP defined over the convex set attains its optimum value at
The objective function of LPP defined over the convex set attains its optimum value at
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
If the inverse of the matrix does not exist then the value of α is
If the inverse of the matrix does not exist then the value of α is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
If the function

 
                                                                                                 is continuous at x = 0 then K ?
If the function

 
                                                                                                 is continuous at x = 0 then K ?
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
For a invertible matrix A if A.(adj A) = then
For a invertible matrix A if A.(adj A) = then
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The solution of the differential equation
The solution of the differential equation
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
In ΔABC if sin2A + sin2B = sin2C and length of AB = 10 then the maximum value of the area of ΔABC is
In ΔABC if sin2A + sin2B = sin2C and length of AB = 10 then the maximum value of the area of ΔABC is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
If x= f(t) and y= g(t) are differentiable functions oft then is
If x= f(t) and y= g(t) are differentiable functions oft then is
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
A r.v. X B (n, p). If values of mean and variance of X are 18 and 12 respectively then total number of possible values of X are
A r.v. X B (n, p). If values of mean and variance of X are 18 and 12 respectively then total number of possible values of X are
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The area of the region bounded by the lines y = 2x + 1. y = 3x + I and x = 4 is
The area of the region bounded by the lines y = 2x + 1. y = 3x + I and x = 4 is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
A box contains 6 pens, 2 of which are defective. Two pens are taken randomly from the box. If r.v X: Number of defective pens obtained, then standard deviation of X =
A box contains 6 pens, 2 of which are defective. Two pens are taken randomly from the box. If r.v X: Number of defective pens obtained, then standard deviation of X =
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
If the volume of spherical ball is increasing at the rate of cc/sec then the rate of change of its surface area when the volume is cc is
If the volume of spherical ball is increasing at the rate of cc/sec then the rate of change of its surface area when the volume is cc is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
If
 

                                                                          is continuous at x 0 then K is
If
 

                                                                          is continuous at x 0 then K is
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
If the origin and the points P(2, 3,4), Q(1, 2, 3) and R(x, y, z) are co-planar then
If the origin and the points P(2, 3,4), Q(1, 2, 3) and R(x, y, z) are co-planar then
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
If lines represented by equation are distinct then
If lines represented by equation are distinct then
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Let PQRS be a quadrilateral. if M and N are the midpoints of the sides PQ and RS respectively then
Let PQRS be a quadrilateral. if M and N are the midpoints of the sides PQ and RS respectively then
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
If slopes of lines represented by differ by 1 then K =
If slopes of lines represented by differ by 1 then K =
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
If vector with d.c.s 1, m, n is equally inclined to the co-ordinate axes, then the total number of such vectors is
If vector with d.c.s 1, m, n is equally inclined to the co-ordinate axes, then the total number of such vectors is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The particular solution of the differential equation xdy + 2ydx = 0, when x = 2, y = 1 is
The particular solution of the differential equation xdy + 2ydx = 0, when x = 2, y = 1 is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
ΔABC has vertices at A = (2, 3, 5), B (-1, 3, 2) and C (λ, 5,μ). if the median through A is equally inclined to the axes, then the values of λ and ,μ respectively are
ΔABC has vertices at A = (2, 3, 5), B (-1, 3, 2) and C (λ, 5,μ). if the median through A is equally inclined to the axes, then the values of λ and ,μ respectively are
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
For the following distribution function F(x) of a r.v. X

For the following distribution function F(x) of a r.v. X

Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The lines for intersect each other at point
The lines for intersect each other at point
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The equation of line equally inclined to co-ordinate axes and passing through (-3, 2, -5) is
The equation of line equally inclined to co-ordinate axes and passing through (-3, 2, -5) is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
If
If
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
A boy tosses fair coin 3 times. If he gets Rs. 2X for X heads then his expected gain equals to Rs………..
A boy tosses fair coin 3 times. If he gets Rs. 2X for X heads then his expected gain equals to Rs………..
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Which of the following statement pattern is a tautology?
Which of the following statement pattern is a tautology?
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If the angle between the planes and is 60 degree then m=
If the angle between the planes and is 60 degree then m=
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
If f( x) x for x 0 =0 for x > 0 then f(x) at x = 0 is
If f( x) x for x 0 =0 for x > 0 then f(x) at x = 0 is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The equation of the plane through (-1, 1, 2), whose normal makes equal acute angles with co-ordinate axes is
The equation of the plane through (-1, 1, 2), whose normal makes equal acute angles with co-ordinate axes is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
Probability that a person will develop immunity after vaccination is 0.8. if 8 people are given the vaccine then probability that all develop immunity is =
Probability that a person will develop immunity after vaccination is 0.8. if 8 people are given the vaccine then probability that all develop immunity is =
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
If the distance of points from the plane is 5 units then
If the distance of points from the plane is 5 units then
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
The value of
is
The value of
is
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