Prove that the two circles each of which...

Prove that the two circles each of which passes through the point `(0, k) and (0, -k)` and touches the line `y=mx+b` will cut orthogonally, if `b^2 = k^2 (2+m^2)`.

Similar Questions

Explore conceptually related problems

Prove that the two circles which pass through the points (0,a),(0,-a) and touch the line y=mx+c will cut orthogonally if c^2=a^2(2+m^2)

Two circles which pass through the points A(0,a),B(0,-a) and touch the line y=mx+c wil cut orthogonally if

The condition that the circles which passes through the points (0,a),(0,-a) and touch the line y= mx+c will cut orthogonally is

Two point (b+3,b+k) and (2,b) are on the line x-2y+9=0 find k

The locus of the centre of a circle which passes through the point (h,k) and cuts of a chord of length 2d on the line lx+my+n=0 is

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally,then the locus of its centre is