12345>>
1.

The equation of the directrix  of the parabola 3x2=16y is

A) 3y-4=0

B) 3y+4=0

C) 3x+4=0

D) 3x-4=0

2.

The cofactors of the elements of the first column of the matrix

$A=\begin{bmatrix}2 & 0 &-1\\3 & 1&2\\ -1 &1 & 2 \end{bmatrix}$  are

A) 0,-7,2

B) -1,3,-2

C) 0,-8,4

D) 0,-1, 1

3.

The principal solutions  of  $\cot x=\sqrt{3}$ are

A) $\frac{\pi}{6},\frac{7\pi}{6}$

B) $\frac{\pi}{3},\frac{7\pi}{3}$

C) $\frac{\pi}{4},\frac{5\pi}{4}$

D) $\frac{\pi}{6},\frac{5\pi}{6}$

4.

$\int \frac{dx}{x^{2}+4x+13}=$

A) $\frac{1}{3}\tan^{-1}\left(\frac{x+2}{3}\right)+C$

B) $\frac{1}{6}\tan^{-1}\left(\frac{x-1}{x+5}\right)+C$

C) $3\tan^{-1}\left(\frac{x+2}{3}\right)+C$

D) $\frac{1}{6}\tan^{-1}\left(\frac{x+2}{3}\right)+C$

5.

The equation of planes parallel to the plane x+2y+2z+8=0 , which are at a distance of 2 units from the point (1,1,2) are

A) x+2y+2z-5=0 or x+2y+2z-3=0

B) x+2y+2z-6=0 or x+2y+2z-7=0

C) x+2y+2z-13=0 or x+2y+2z-1=0

D) x+2y+2z+3=0 or x+2y+2z-5=0

12345>>