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Tangents P A and P B are drawn to x^2+y^...

Tangents `P A` and `P B` are drawn to `x^2+y^2=9` from any arbitrary point `P` on the line `x+y=25` . The locus of the midpoint of chord `A B` is `25(x^2+y^2)=9(x+y)` `25(x^2+y^2)=3(x+y)` `5(x^2+y^2)=3(x+y)` `non eoft h e s e`

A

`25( x^(2)+y^(2))=9 (x+y)`

B

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

C

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

D

None of these

Text Solution

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The correct Answer is:
A
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