The points and are fixed

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The points A(0,0)A(0,0) and B(6,0)B(6,0) are fixed. The point P(x,y)P(x,y) moves such that the area of △ABP\triangle ABP is 9 square units9\,\text{square units}. Write the equation(s) of the locus of PP.

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