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 :

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 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.

Find the equation of the straight line passing through the point 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.

If the 4 points made by intersection of lines 2x-y+1=0, x-2y+3=0 with the coordinate axes are concylic then centre of circle is

A circle whose centre is the point of intersection of the lines 2x-3y+4=0\ a n d\ 3x+4y-5=0 passes through the origin. Find its equation.

Find the equation of a line passing through the point of intersection of the lines x+3y+1=0 and 2x-y+3=0 and parallel to the line 3x-2y+1=0 .

Find the equation of the circle which passes through the point of intersection of the lines 3x-2y-1=0a n d4x+y-27=0 and whose centre (2,-3) .