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A line is at a constant distance c from ...

A line is at a constant distance c from the origin and meets the coordinate axes in `A` and `B`. The locus of the centre of the circle passing through `O, A, B` is

A

`x^(-2)+y^(-2)=c^(-2)`

B

`x^(-2)+y^(-2)=2 c^(-2)`

C

`x^(-2)+y^(-2)=3 c^(-2)`

D

`x^(-2)+y^(-2)=4 c^(-2)`

Text Solution

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The correct Answer is:
D
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