Two circles passing through `A(1,2), B(2,1)` touch the line `4x + 8y-7 = 0` at C and D such that ACED in a parallelogram. Then:

Two circles C_(1) and C_(2) both pass through the points A(1,2) and E(2,1) and touch the line 4x-2y=9 at B and D, respectively. The possible coordinates of a point C, such that the quadrilateral ABCD is a parallelogram,are (a,b). Then the value of |ab| is

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

Centre of a circle passing through point (0,1) and touching the curve y=x^2 at (2,4) is

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -

A circle passes through a point (2,8) and touches the lines 4x-3y-24=0 and 4x+3y+42=0 and centre lies on the line x=lambda then (-4 lambda) is

The equation of the line passing through (1,-2) and parallel to the line 8x-4y+7=0 is