JEE Advance - Mathematics (2005 - No. 16)
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 $$P$$.
y = x + 1 or y = -x + 1
y = 2x + 1 or y = -2x + 1
y = x + 2 or y = -x + 2
y = 2x + 2 or y = -2x + 2
y = x or y = -x
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