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Question: Answered & Verified by Expert
A variable line through the point $\mathrm{P}(-1,2)$ cuts the coordinate axes at $\mathrm{A}$ and $\mathrm{B}$ respectively. If $\mathrm{Q}$ is a point on $\mathrm{AB}$ such that $\mathrm{PA}, \mathrm{PQ}$ and $\mathrm{PB}$ are in a harmonic progression, then the locus of $Q$ is
MathematicsStraight LinesAP EAMCETAP EAMCET 2017 (26 Apr Shift 2)
Options:
  • A $y^2=2 x$
  • B $x^2+y^2=1$
  • C $y=2 x$
  • D $x^2=4 y$
Solution:
1009 Upvotes Verified Answer
The correct answer is: $y=2 x$
No solution. Refer to answer key.

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