`P(a,5a)` and `Q(4a,a)` are two points. Two circles are drawn through these points touching the axis of y.
Angle of intersection of these circles is

P(a,5a) and Q(4a,a) are two points. Two circles are drawn through these points touching the axis of y. Centre of these circles are at

Let P(alpha,beta) be a point in the first quadrant. Circles are drawn through P touching the coordinate axes. Radius of one of the circles is

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side

Two circles are drawn through the points (a,5a) and (4a, a) to touch the y-axis. Prove that they intersect at angle tan^-1(40/9).

The circle passing through the point (-1,0) and touching the y-axis at (0,2) also passes through the point:

Let P(alpha,beta) be a point in the first quadrant. Circles are drawn through P touching the coordinate axes. Equation of common chord of two circles is

Find the equation of the circle passing through the points A(4,3). B(2,5) and touching the axis of y. Also find the point P on the y-axis such that the angle APB has largest magnitude.

Two circles touching both the axes intersect at (3,-2) then the coordinates of their other point of intersection is

A variable circle passes through the fixed point (2, 0) and touches y-axis Then, the locus of its centre, is

A variable circle passes through the fixed point (2, 0) and touches y-axis Then, the locus of its centre, is