The locus of the point of intersection of the perpendicular tangents to the circle `x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "`

Options

A. `x^(2)+y^(2)=a^(2)+b^(2)`
B. `x^(2)+y^(2)=a^(2)-b^(2)`
C. `x^(2)+y^(2)=(a+b)^(2)`
D. `x^(2)+y^(2)=(a-b)^(2)`

Answer

A