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The line x cos alpha + y sin alpha = p ...

The line `x cos alpha + y sin alpha = p ` is tangent to the ellipse `(x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 ` if :

A

`a^(2)cos^(2)alpha - b^(2)sin^(2)alpha =p^(2)`

B

`a^(2)sin^(2)alpha+b^(2)cos^(2)alpha=p^(2)`

C

`a^(2)cos^(2)alpha+b^(2)sin^(2)alpha=p^(2)`

D

`a^(2)cos^(2)alpha+b^(2)sin^(2)alpha =p`

Text Solution

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The correct Answer is:
C
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