A variable line through the point $\mathrm{P}(-1,2)$ cuts the coordinate axes at $\mathrm{A}$ and…

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. $y^2=2 x$
  2. $x^2+y^2=1$
  3. $y=2 x$
  4. $x^2=4 y$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (26 Apr Shift 2)

Practice more Hyperbola questions on Aicharya