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 

1

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

Topic: MAH MCA CET 2024

2

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

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3

The curved surface area of a glass having radii 3cm and 4cm respectively and slant height 10cm is

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4

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 o…

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1

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

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2

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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3

If $A(cos\alpha, sin\alpha)$, $B(sin\alpha, -cos\alpha)$, C(1,2) are the vertices of a $\Delta ABC$, then as $\alpha$ v…

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4

A cylinder of radius 12cm contains water to a depth of 20cm. A spherical iron ball is dropped into the cylinder and thu…

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5

A and B can complete a work in 12 days, B and C complete a work in 15 days and C and A can complete a work in 20 days. …

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6

Sham purchased a Maruti van for Rs. 1,96,000 Rate of fall of price per year of this van is $14 \frac{2}{7}%$. What will…

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7

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

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8

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

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9

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surfa…

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10

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

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