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A line L has intercepts a and b on the c...

A line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle `theta` keeping the origin fixed, this line L has the intercepts p and q. Then

A

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

B

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

C

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

D

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

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The correct Answer is:
D
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