Consider the triangle with vertices

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Consider the triangle with vertices P(x,0)P(x,0), Q(0,y)Q(0,y) and R(3,4)R(3,4). If the area of △PQR\triangle PQR is 6 square units6\,\text{square units}, the locus of PP is (a) (x−4)(y−3)=12(x-4)(y-3)=12 (b) ∣xy−4x−3y∣=6\lvert xy-4x-3y\rvert = 6 (c) xy−4x−3y=12 or xy−4x−3y=−12xy-4x-3y=12\text{ or }xy-4x-3y=-12 (d) ∣xy+4x+3y∣=12\lvert xy+4x+3y\rvert = 12

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