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1.

The mean and variance of a random variable X having binomial distribution are 4 and 2 respectively the P(x=1) is

A) $\frac{1}{4}$

B) $\frac{1}{32}$

C) $\frac{1}{16}$

D) $\frac{1}{8}$

2.

If $\vec{a}=(\hat{i}+\hat{j}+\hat{k})$, $\vec{a}.\vec{b} = 1$ and $\vec{a}\times\vec{b} = \hat{j}-\hat{k}$,

then $\vec{b}$ is

A) $\hat{i}-\hat{j}+\hat{k}$

B) $2\hat{j}-\hat{k}$

C) $\hat{i}$

D) $2\hat{i}$

3.

A unit vectorperpendicular to the plane formed by the points (1, 0, 1), (0,2,2) and (3, 3, 0) is

A) $\frac{1}{5\sqrt{3}}(5\hat{i}-\hat{j}-7\hat{k})$

B) $\frac{1}{5\sqrt{3}}(5\hat{i}-\hat{j}+7\hat{k})$

C) $\frac{1}{5\sqrt{3}}(5\hat{i}+\hat{j}+7\hat{k})$

D) None of these

4.

The solution of  $\frac{dv}{dt}+\frac{k}{m}v$ = -g is

A) $v = c\bar{e}^{\frac{k}{m}t}-\frac{mg}{k}$

B) $v = c-\frac{mg}{k}\bar{e}^{\frac{k}{m}t}$

C) $v^{-\frac{k}{m}t} = c-\frac{mg}{k}$

D) $v^{\frac{k}{m}t} = c-\frac{mg}{k}$

5.

The order and degree of the differential equation whose solution is y = cx + c2 - 3c3/2 + 2, therefore c is a parameter, is

A) order = 4,degree = 4

B) order = 4,degree = 1

C) order = 1,degree = 4

D) None of these

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