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

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MAH CET MCA Previous Year Questions (PYQs)

MAH CET MCA Mathematics PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 2MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 3MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 4MAH CET MCA PYQ

The number of irrational terms in the expansion of $(5^{\frac{1}{6}}+2^{\frac{1}{8}})$ is

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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 5MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 6MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 7MAH CET MCA PYQ

The range of $cos(logf(x))=cos(log_e{x})$ is

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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 8MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 9MAH CET MCA PYQ

If $A(cos\alpha, sin\alpha)$, $B(sin\alpha, -cos\alpha)$, 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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Solution

Qus : 10MAH CET MCA PYQ

The range of the function $f(x)-\frac{x+2}{|x+2|}, x\ne2$ is

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Solution

Qus : 11MAH CET MCA PYQ

The points (a: b) , (c, d) and $\frac{kc+la}{k+l}$,$\frac{kd+lb}{k+l}$ are

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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 12MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 13MAH CET MCA PYQ

The following polynomial has integer roots $x^3 + 30x^2 -7377x + 14626 = 0$. Find the value of the largest root.

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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 14MAH CET MCA PYQ

The domain of the function $log f(x)=\sqrt{log_{10} \frac{log_{10} x}{2(3-log_{10} x)}}$

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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 15MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 16MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ

Solution

Qus : 17MAH CET MCA PYQ

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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Solution

Qus : 18MAH CET MCA PYQ

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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Solution

Qus : 19MAH CET MCA PYQ

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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Solution

Qus : 20MAH CET MCA PYQ

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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Solution

Qus : 21MAH CET MCA PYQ

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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MAH CET MCA Previous Year PYQMAH CET MCA MAH MCA CET 2024 PYQ