Pair of lines

Q.

The lines represented by the equation $9x^2+24xy+16y^2+21x+28y+6=0$ are

1. Parallel

2. Coincident

3. Perpendicular

4. None of these

Q. The equation of line passing through the point of intersection of the lines4x-3y-1=0 and 5x-2y-3=0 and parallel to the line 2y-3x+2=0, is

1. x-3y=1
2. 3x-2y=1
3. 2x-y=1
4. 2x-3y=1

Q. Let a, b, c and d be non-zero numbers. If the point of intersection of the lines $4ax+2ay+c=0$ and $5bx+2by+d=0$ lies in the fourth quadrant and is equdistant from the two axes, then

1. $2bc-3d=0$
2. $2bc+3ad=0$
3. $2ad-3bc=0$
4. $3bc+2ad=0$

Q. find the equation of the plane passing through the line of intersection of planes 2x+y-z=3 and 5x-3y+4z+9=0 and parallel to the line x-1/2=y-3/4=z-5/5

Q. Find the equation of the plane passing through the intersection of the planes 2x + 3y − z + 1 = 0 and x + y − 2z + 3 = 0 and perpendicular to the plane 3x − y − 2z − 4 = 0.