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If P(1) and p(2) are the lenghts of the ...

If `P_(1) and p_(2)` are the lenghts of the perpendiculars drawn from the origin to the two lines
x sec `alpha` +y . Cosec `alpha` =2a
and x. cos `alpha` +y. sin `alpha`=a. cos 2 `alpha`,
show that `P_(1)^(2)+P_(2)^(2)` is constant for all values of `alpha` .

A

`4 sin^(2)4alpha`

B

`4 cos^(2)4alpha`

C

`4 cosec^(2)4 alpha`

D

`4 sec^(2)4alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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