MAH CET MCA Mathematics Previous Year Question Paper and Solution with PDF

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Previous Year Questions

MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Mathematics PYQ

Qus : 1

The curve for which the normal at any point (x, y) and the line joining the origin to that point form an isosceles triangle with the x-axis as the base is

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Qus : 2

A bookshelf has 5 red books, 3 blue books, and 4 green books. If you randomly select a book from the shelf, what is the probability that it is blue?

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Qus : 3

Let AB be a chord of a circle

$x^2+y^2 = r^2$ subtending a right angle at the centre. Then, the locus of the centroid of the triangle PAB as P moves on the circle is

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Qus : 4

The number of irrational terms in the expansion of

$(5^{\frac{1}{6}}+2^{\frac{1}{8}})$ is

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Qus : 5

For a binomial distribution. The number of trials is 5 and P(X=4)=P(X=3), then P(X>2) is

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Qus : 6

A random variable X has the following Probability Mass Function:

X	0	1	2
P[X=x]	$q^2$	$2pq$	$p^2$

Then the variance of X is

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Qus : 7

The range of

$cos(logf(x))=cos(log_e{x})$ is

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Qus : 8

Let R be the set of real numbers. If

$f:R \to R$ is a function defined by

$f(x)=x^2$ . then

$f$ is

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Qus : 9

$A(cos\alpha, sin\alpha)$ ,

$B(sin\alpha, -cos\alpha)$ , C(1,2) are the vertices of a

$\Delta ABC$ , then as

$\alpha$ varies, the the locus of its centroid is,

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Qus : 10

The range of the function

$f(x)-\frac{x+2}{|x+2|}, x\ne2$ is

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Qus : 11

The points (a: b) , (c, d) and

$\frac{kc+la}{k+l}$ ,

$\frac{kd+lb}{k+l}$ are

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Qus : 12

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionally constant= k>0 ). Find the time after which the cone is empty.

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Qus : 13

The following polynomial has integer roots

$x^3 + 30x^2 -7377x + 14626 = 0$ . Find the value of the largest root.

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Qus : 14

The domain of the function

$log f(x)=\sqrt{log_{10} \frac{log_{10} x}{2(3-log_{10} x)}}$

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Qus : 15

A pendulum swings through an angle of

$30{^{\circ}}$ and describes an arc 8.8cm in length. The length of the pendulum is

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Qus : 16

If two lines represented by

$x^4+x^3y+cx^2y^2-xy^3+y^4=0$ bisect the angle between the other two, then the value of c is

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Qus : 17

Two numbers are selected randomly from a set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is :

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Qus : 18

The probability of a shooter hitting a target is

$\frac{3}{4}$ . How many minimum numbers of times must he/she fire so that the probability of hitting the target at least once is more than 0.99?

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Qus : 19

If the angles of a triangle are in Arithmetic Progression, then the measures of one of the angles in radians is

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Qus : 20

A line intersects lines 5x-y-4=0 and 3x-4y-4=0 at point A and B. If a point P(1, 5) on the line AB is such that AP: PB=2:1(internally), then point A is,

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Qus : 21

Straight lines are drawn by joining m points on a straight line to n points on another line. Then excluding the given points, the number of point of intersection of the lines drawn is (no two lines drawn are parallel and no three lines are concurrent).

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Qus : 22

The coefficient of

$x^n$ in the expansion of

$(1−9x+20x^2)^{−1}$ is

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Solution

Qus : 23

The differential equation of the family of curves

$y=e^x(A cos⁡x+B sin⁡x)$ , where A and B are arbitrary constants, is

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Solution

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