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If `p_(1) and p_(2)` are the lengths of the perpendicular form the orgin to the line `x sec theta+y cosec theta=a and xcostheta-y sin theta=a cos 2 theta` respectively then prove that `4p_(1)^(2)+p_(2)^(2)=a^(2)`

A

`a^2`

B

`2a^2`

C

`a^2//2`

D

`3a^2 `

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A
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