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

Question

SHAIK AASIF AHAMED · Answer

Hello student,

Area of triangle = 1/2(AB. AC)=4h²
and AB = $\sqrt{2}$ |k – 1| = AC
⇒ 4h²=(1/2)(2)(k-1)²
⇒ k – 1 = ± 2h.
⇒ locus is y = 2x + 1, y = – 2x + 1.

Thanks and Regards

Shaik Aasif

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

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

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

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

1 Answers

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Other Related Questions on Algebra

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