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1.

If a line makes angle $120^{0}$ and $60^{0}$ with the positive directions of X and Z -axes respectively, then the angle made by the line  with a positive Y-axis is

A) $150^{0}$

B) $60^{0}$

C) $135^{0}$

D) $120^{0}$

2.

The order of the differential equation of all parabolas, whose latus rectum is 4a and axis parallel to the X-axis, is

A) one

B) four

C) three

D) two

3.

The general solution of differential equation $\frac{dx}{dy}=cos(x+y)$  is

A) $\tan\left(\frac{x+y}{2}\right)=y+C$

B) $\tan\left(\frac{x+y}{2}\right)=x+C$

C) $\cot\left(\frac{x+y}{2}\right)=y+C$

D) $\cot\left(\frac{x+y}{2}\right)=x+C$

4.

If  $X\sim B(n,p)$  with n=10 , p=0.4  , then E(X)2=

A) 4

B) 2.4

C) 3.6

D) 18.4

5.

The minimum value of the function f(x)= x log x is

A) $-\frac{1}{e}$

B) -e

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

D) e

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