The equation of the locus of a point whi...

The equation of the locus of a point which moves so that its distance from the point (ak, 0) is k times its distance from the point `((a)/(k),0) (k ne 1)` is

A

`x^(2)-y^(2)=a^(2)`

B

`2x^(2)-y^(2)=2a^(2)`

C

`xy=a^(2)`

D

`x^(2)+y^(2)=a^(2)`

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The correct Answer is:

D

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