A variable circle passes through the point `A(a ,b)` and touches the x-axis. Show that the locus of the other end of the diameter through `A` is `(x-a)^2=4b ydot`

A variable circle passes through the point P (1, 2) and touches the x-axis. Show that the locus of the other end of the diameter through P is (x-1)^2 = 8y .

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

A circle passes through A(1,1) and touches x-axis then the locus of the other end of the diameter through A is

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

If a circle passes through the point (a,b) and cuts the circle x^2+y^2=k^2 orthogonally then the locus of its centre is

If a circle passes through the point (a, b) and cuts the circlex x^2+y^2=p^2 equation of the locus of its centre is

Find the equation of circle passing through the points (1,-2) and (3,-4) and touches the X-axis.

A variable plane passes through a fixed point (a,b,c) and meets the axes at A ,B ,a n dCdot The locus of the point commom to the planes through A ,Ba n dC parallel to the coordinate planes is

If a circle passes through the point (1, 1) and cuts the circle x^(2)+y^(2)=1 orthogonally, then the locus of its centre is