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Line `L` has intercepts `a` and `b` on the coordinate axes. When, the axes area rotated through a given angle, keeping the origin fixed, the same line `L` has intercepts `p` and `q`, then

A

`a^(2) +b^(2)= p^(2) + q^(2)`

B

`(1)/(a^(2)) + (1)/(b^(2)) = (1)/(p^(2))+ (1)/(q^(2))`

C

`a^(2) + p^(2) = b^(2) + q^(2)`

D

`(1)/(a^(2)) + (1)/(p^(2))= (1)/(b^(2)) + (1)/(q^(2))`

Text Solution

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The correct Answer is:
B
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