Let and be fixed points

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

Problem

Let A(1,2)A(1,2) and B(4,6)B(4,6) be fixed points. If a point P(x,y)P(x,y) moves so that the area of △PAB\triangle PAB is zero, the locus of PP is (a) the perpendicular bisector of ABAB (b) the straight line passing through AA and BB (c) a pair of distinct lines parallel to ABAB (d) the circle having ABAB as diameter

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