Points and are fixed

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

Problem

Points A(−2,1)A(-2,1) and B(3,4)B(3,4) are fixed. If a point P(x,y)P(x,y) moves so that the area of △PAB\triangle PAB is 10 square units10\,\text{square units}, the equation of the locus of PP is (a) 5x+3y=31 or 5x+3y=95x+3y=31 \text{ or } 5x+3y=9 (b) 3x−5y=20 or 3x−5y=−203x-5y=20 \text{ or } 3x-5y=-20 (c) 3x−5y=9 or 3x−5y=−313x-5y=9 \text{ or } 3x-5y=-31 (d) 3x+5y=9 or 3x+5y=−313x+5y=9 \text{ or } 3x+5y=-31

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