" ( (1) "[x-3y-3=0],[3x-9y-2=0]

Find the value of a for which the lines 2x+y-1=0 2x+y-1=0 a x+3y-3=0 3x+2y-2=0 are concurrent.

The equation of circle which touches the line x+3y-2=0 and 3x+9y-2=0, also the point of contact an first line is (-1,1), is

The area of the parallelogram formed by the lines 2x-3y+a=0, 3x-2y-a=0, 2x-3y+3a=0 and 3x-2y-2a=0 in square units , is

2x-y-5=0; x+3y-9=0

If one of the diagonals of a square is along the line x=2y and one of its vertices is (3, 0), then its sides through this vertex are given by the equations (A) y-3x+9=0, 3y+x-3=0 (B) y+3x+9=0, 3y+x-3=0 (C) y-3x+9=0, 3y-x+3=0 (D) y-3x+9=0, 3y+x+9=0

If one of the diagonals of a square is along the line x=2y and one of its vertices is (3, 0), then its sides through this vertex are given by the equations (A) y-3x+9=0, 3y+x-3=0 (B) y+3x+9=0, 3y+x-3=0 (C) y-3x+9=0, 3y-x+3=0 (D) y-3x+9=0, 3y+x+9=0

Solve the following systems of linear homogenous equations : 3x+2y+7z=0 , 4x-3y-2z=0 and 5x+9y+23z=0

The area of the parallelogram formed by lines 2x-y+3=0, 3x+4y-6=0,2x-y+9=0, 3x+4y+4=0 is (in sq units)

Using the method of integration, find the area of the region bounded by the lines : 3x-2y+1=0, 2x+3y-21=0 and x-5y+9=0.