A circle passes through the points of intersection of the lines `lamda x-y+1=0` and `x-2y+3=0` with the coordinates axes. Show that `lamda=2`.

If a circle passes through the point of intersection of the lines x+ y +1=0 and x+ lambda y-3=0 with the coordinate axis, then find the value of lambda .

If a circle passes through the points of intersection of the lines 2x-y +1=0 and x+lambda y -3=0 with the axes of reference then the value of lambda is :

If a circle passes through the points where the lines 3kx- 2y-1 = 0 and 4x-3y + 2 = 0 meet the coordinate axes then k=

If a circle passes through the points of intersection of the coordinate axes with the lines lambdax-y + 1=0 and x-2y + 3 = 0 , then the value of lambda is............

Find the equation of the straight line passing through the point of intersection of intersection of 2x+y−1=0 and x+3y−2=0 and making with the coordinate axes a triangle of area 3/8 sq.units.

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

A line passes through the point of intersection of the line 3x+y+1=0 and 2x-y+3=0 and makes equal intercepts with axes. Then, equation of the line is

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

The straight line passing through the point of intersection of the straight line x+2y-10=0 and 2x+y+5=0 is

Find the equation of a line passing through the point of intersection of the lines 5x+y-3=0 and x+3y+1=0 and made equal intercept from the co-ordinates axes.