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The area of the triangle formed by the i...

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

Text Solution

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Area of ABE=1/2*b*h
=|1/2(2-k-k)(k-1)|=4`h^2`
=|(1-k)(k-1)|=4`h^2`
=`|-(-k-1)^2|=4h^2`
=`(k-1)^2=4h^2`
`(k-1)^2-(2h)^2=0`
`(k+2h-1)(k-2h-1)=0`
Locus,
...
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