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

Options

A. `(lx+my+n)^(2) =(l^(2)+m^(2)) [(x-h)^(2)+(y-k)^(2)-d^(2)]`
B. `(lx+my+n)^(2) =(m^(2)+n^(2)) [(y-h)^(2)+(x-k)^(2)-d^(2)]`
C. `(lx+my+n)^(2) =(l^(2)+m^(2)) [(x+h)^(2)+(y+k)^(2)-2d^(2)]`
D. `(lx+my+n)^(2) =(l^(3)+m^(3)) [(2x-2h)^(2)+(2y-10k)^(2)-dd^(2)]`

Answer

A