QJEEAdv05Mae150: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Mae150 Solution: The area of the triangle formed by intersection of a line…

The area of the triangle formed by intersection of a line parallel to $x$ -axis and passing through $P (h, k)$ with the lines $y = x$ and $x + y = 2$ is $4{h^2}$ . Find the locus of the point $P$ .