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AP EAMCET · Maths · Straight Lines

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

  1. A \(y^2=2 x\)
  2. B \(x^2+y^2=1\)
  3. C \(y=2 x\)
  4. D \(x^2=4 y\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(y=2 x\)

Step-by-step Solution

Detailed explanation

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