![If p and q are the lengths of perpendicular from the origin to the lines x cos θ−y sin θ=k cos 2θ and x sec θ+y cosec θ=k](https://www.gkseries.com/blog/wp-content/uploads/2024/03/If-p-and-q-are-the-lengths-of-perpendicular-from-the-origin-to-the-lines-x-cos-θ−y-sin-θk-cos-2θ-and-x-sec-θy-cosec-θk.jpg)
If p and q are the lengths of perpendicular from the origin to the lines x cos θ−y sin θ=k cos 2θ and x sec θ+y cosec θ=k, respectively. Prove that p2+4q2=k2
Ans:
![](https://www.gkseries.com/blog/wp-content/uploads/2024/03/image-164-1024x654.png)
If p and q are the lengths of perpendicular from the origin to the lines x cos θ−y sin θ=k cos 2θ and x sec θ+y cosec θ=k, respectively. Prove that p2+4q2=k2
Ans:
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