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If the equation x cos theta + y sin the...

If the equation `x cos theta + y sin theta = p`represents the equation of common chord APQB of the circles `x^(2) +y^(2) =a^(2)` and `x^(2) +y^(2) =b^(2)(a gt b )`then AP is equal to `:`

A

`sqrt( a^(2) +p^(2))+sqrt( b^(2) +p^(2))`

B

`sqrt( a^(2) +p^(2))-sqrt( b^(2) +p^(2))`

C

`sqrt( a^(2) -p^(2))+sqrt( b^(2) -p^(2))`

D

`sqrt( a^(2) -p^(2))-sqrt( b^(2) -p^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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