Question

A nice coordinate geometry question.
In the post.

Answer 1

P is a point \[(\sqrt{2}sinA , cotB)\]
That satisfies the equation
\[(x+y)^2 + 4(x-y)^2 = 8\]

Then find the minimum value of :
\[(2tanC - \sqrt{2}sinA)^2 + (2cotC - cotB)^2 = ?\]

Where C is any arbitary angle.

Answer 2

*If P is a point..