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If theta(1), theta(2) be the inclinatio...

If `theta_(1), theta_(2)` be the inclination of tangents with x-axis drawn from the point P to the circle `x^(2)+y^(2)=a^(2)`, then the locus of P, if given that `cot theta_(1)+cot theta_(2)=c` is

A

`c(x^(2)-a^(2))=2xy`

B

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

C

`c(y^(2)-a^(2))=2xy`

D

None of these

Text Solution

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The correct Answer is:
C
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