MHT CET 2019 Paper I

x	1
1	0

] and A=A−1, then x =........

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If A=[

x	1
1	0

] and A=A−1, then x =........

Which of the following function is not continuous at x = 0 ?

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Which of the following function is not continuous at x = 0 ?

It is observed that 25% of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

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It is observed that 25% of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that atleast 5 of them will be solved is

The area of the region bounded by the curve y=2x−x2 and the line y = x is.... square units

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The area of the region bounded by the curve y=2x−x2 and the line y = x is.... square units

The general solution of x

The general solution of x

The statement pattern

(p∧q)∧[∼r∨(p∧q)]∨(∼p∧q)

is equivalent to ...........

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The statement pattern

(p∧q)∧[∼r∨(p∧q)]∨(∼p∧q)

is equivalent to ...........

A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is...........

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A bag contains 6 white and 4 black balls. Two balls are drawn at random. The probability that they are of the same colour is...........

dx

dx

A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of 5 cm / sec. The area increased after 2 seconds is.........

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A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of 5 cm / sec. The area increased after 2 seconds is.........

If f(x)=3x−2 and g(x)=x2 then fog(x)=......

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If f(x)=3x−2 and g(x)=x2 then fog(x)=......

Which of the following is NOT equivalent to p→q .

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Which of the following is NOT equivalent to p→q .

(ax5+bx3+cx+k)dx, where a, b, c, k are constants, depends only on .........

(ax5+bx3+cx+k)dx, where a, b, c, k are constants, depends only on .........

The general solution of the differential equation of all circles having centre at A (-l, 2) is.........

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The general solution of the differential equation of all circles having centre at A (-l, 2) is.........

If A is non-singular matrix such that (A−2I)(A−4I)=0 then A+8A−1

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If A is non-singular matrix such that (A−2I)(A−4I)=0 then A+8A−1

If G(3,−5,r) is centroid of triangle A B C where A(7,−8,1),B(p,q,5) and C(q+1,5p,0) are vertices of a triangle then values of p, q, r are respectively........

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If G(3,−5,r) is centroid of triangle A B C where A(7,−8,1),B(p,q,5) and C(q+1,5p,0) are vertices of a triangle then values of p, q, r are respectively........

then tan‌θ−cot‌θ=......

then tan‌θ−cot‌θ=......

Derivative of loge2(log‌x) with respect to x is .......

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Derivative of loge2(log‌x) with respect to x is .......

In Δ ABC; with usual notations, if cos‌A=

sin‌B

sin‌C

then the triangle is............

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In Δ ABC; with usual notations, if cos‌A=

sin‌B

sin‌C

then the triangle is............

For a GP, if (m+n)th term is p and (m−n)th term is q, then mth term is.......

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For a GP, if (m+n)th term is p and (m−n)th term is q, then mth term is.......

A random variable X has following probability distribution

then p(2≤x≤5)=........

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A random variable X has following probability distribution

then p(2≤x≤5)=........

The equation of normal to the curve y=logex at the point P(l, 0 )is...........

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The equation of normal to the curve y=logex at the point P(l, 0 )is...........

The values of x in (0,

π

2

) satisfying the equation sin‌x‌cos‌x=

The values of x in (0,

π

2

) satisfying the equation sin‌x‌cos‌x=

are coterminous edges of a parallelepiped then its volume is..........

are coterminous edges of a parallelepiped then its volume is..........

If the c.d.f. (cumulative distribution function) is given by F(x)=

x−25

10

,then P(27≤x≤33)= ..........

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If the c.d.f. (cumulative distribution function) is given by F(x)=

x−25

10

,then P(27≤x≤33)= ..........

The joint equation of pair of straight lines passing through origin and having slopes (1+√2) and (

The joint equation of pair of straight lines passing through origin and having slopes (1+√2) and (

The angle between lines

The angle between lines

If the line passes through the points P(6,-1,2),Q(8,-7,2λ) and R(5,2,4) then value of λ is.........

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If the line passes through the points P(6,-1,2),Q(8,-7,2λ) and R(5,2,4) then value of λ is.........

The equivalent form of the statement ∼(p→∼q) is.................

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The equivalent form of the statement ∼(p→∼q) is.................

If A={x∊R:x2−5|x|+6=0}, then n(A)=........

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If A={x∊R:x2−5|x|+6=0}, then n(A)=........

is continuous at x = 0 then ,f(0) =..........

is continuous at x = 0 then ,f(0) =..........

The coordinates of the foot of perpendicular drawn from origin to the plane 2x−y+5z−3=0 are......

The maximum value of z=9x+11y subject to

3x+2y≤12,2x+3y≤12,x≥0,y≥0

is..........

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The maximum value of z=9x+11y subject to

3x+2y≤12,2x+3y≤12,x≥0,y≥0

The number of solutions of sin2θ=

1

2

in[0,π] is ..........

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The number of solutions of sin2θ=

1

2

in[0,π] is ..........

are nonzero, noncoplanar vectors then

are nonzero, noncoplanar vectors then

Which of the following equation has no solution?

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Which of the following equation has no solution?

The minimum value of z=10x+25y subject to 0≤x≤3,0≤y≤3,x+y≥5 is........

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The minimum value of z=10x+25y subject to 0≤x≤3,0≤y≤3,x+y≥5 is........

If f(x)=3x3−9x2−27x+15, then the maximum value of f(x) is ............

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If f(x)=3x3−9x2−27x+15, then the maximum value of f(x) is ............

The equation of the plane passing through the point (-1,2,1) and perpendicular to the line joining the points (-3,1,2) and (2,3,4) is........

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The equation of the plane passing through the point (-1,2,1) and perpendicular to the line joining the points (-3,1,2) and (2,3,4) is........

If the lengths of the transverse axis and the latus rectum of a hyperbola are 6 and

8

3

respectively,then the equation of the hyperbola is..........

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If the lengths of the transverse axis and the latus rectum of a hyperbola are 6 and

8

3

respectively,then the equation of the hyperbola is..........

The joint equation of the lines passing through the origin and trisecting the first quadrant is.......

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The joint equation of the lines passing through the origin and trisecting the first quadrant is.......

If P(2,2), Q (-2,4) and R(3,4) are the vertices of ΔPQR then the equation of the median through vertex R is...........

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If P(2,2), Q (-2,4) and R(3,4) are the vertices of ΔPQR then the equation of the median through vertex R is...........

If x=√asin−1t,y=√acos−1t ,then

If x=√asin−1t,y=√acos−1t ,then