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

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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