The line L has intercepts a and b on the...

The line L has intercepts a and b on the coordinate axes. Keeping the origin fixed, the coordinate axes are rotated through a fixed angle. If the line L has intercepts p and q on the rotated axes, then `(1)/(a^(2)) + (1)/(b^(2))` is equal to

A

`p^(2) + q^(2)`

B

`p^(2) - q^(2)`

C

`(1)/(p^(2)) + (1)/(q^(2))`

D

`(1)/(p^(2)) - (1)/(q^(2))`

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The correct Answer is:

C

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