If a circle passes through the point (a,...

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

A

`2ax +2by = a^(2) +b^(2) +lambda^(2)`

B

`ax +by = a^(2) +b^(2) +lambda^(2)`

C

`x^(2) +y^(2) +2ax+ 2by + lambda^(2) =0`

D

`x^(2) +y^(2) -2ax-2by +a^(2) +b^(2) -lambda^(2) =0`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If a circle passes through the point (3,4) and cuts the circle x ^(2) + y ^(2) =a ^(2) orthogonally, the equation of the locus of its centre 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

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

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