A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h² then find the locus of P.
[IIT 2005]

Question

A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h 2 then find the locus of P. [IIT 2005]

Arun · Answer

Dear Student Area of triangle=(1/2).AB.AC=4h^2 and AB= 2|k–1|=AC =>4h2 =(1/2).2.(k–1)^2 =>k-1 = ± 2h. =>locus is y = 2x + 1, y = – 2x + 1. Regards Arun (askIITians forum expert)

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A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h 2 then find the locus of P. [IIT 2005]

A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h² then find the locus of P.
[IIT 2005]

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A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h 2 then find the locus of P. [IIT 2005]

A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h2 then find the locus of P.[IIT 2005]

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A line passes through the point P(h, k) is parallel to the x-axis. It forms a triangle with the lines y = x and x+y = 2 of area 4h² then find the locus of P.
[IIT 2005]