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.
Matt Farrel , 10 Years ago
Grade 10
1 Answers
Arun Kumar
Last Activity: 10 Years ago
Hello 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.