Question

The area of the triangle formed by the intersection of a line parallel to x-axis and passing through (h,k) with the lines y = x and x + y = 2 is 4h². Find the locus of point P.

Answer 1

Here, the triangle formed by a line parallel to x-axis passing through P (h, k) and the straight line y = x and y = 2 - x could be shown below.