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If p and q are the lengths of perpendiculars from the origin to the lines `xcostheta-ysintheta=kcos2theta`and `xsectheta+yc o s e ctheta=k`, respectively, prove that `p^2+4q^2=k^2`.

A

`p^(2)-4q^(2)=k^(2)`

B

`p^(2)+4q^(2)=k^(2)`

C

`4p^(2)+q^(2)=k^(2)`

D

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

Text Solution

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The correct Answer is:
B
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