InterviewSolution
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InterviewSolution
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A points `P` moves such that its distances from `(1,2)` and `(-2,3)` are equal. Then, the locus of `P` isA. straight lineB. ParabolaC. ellipseD. hyperbola |
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Answer» Correct Answer - A Let moving point be `P(x, y)` `sqrt((y-2)^(2)+(x-1)^(2))=sqrt((y-3)^(2)+(x+2)^(2))` `implies (y+2)^(2)+(x-1)^(2)=(y-3)^(2)+(x+2)^(2)` `implies y^(2)+4+4y+x^(2)+1-2x=y^(2)+9-6y+x^(2)+4x+4` `implies 10y-6x-8=0` `:.` Locus of P is a straight line. |
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