1. Tardigrade
  2. Question
  3. Mathematics
  4. The locus of the mid-points of the parallel chords with slope m of the rectangular hyperbola xy=c2 is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The locus of the mid-points of the parallel chords with slope $m$ of the rectangular hyperbola $xy=c^{2}$ is

NTA AbhyasNTA Abhyas 2020

Solution:

Solution
$\left(h , k\right),$ then
Equation of $AB$ is $\frac{x}{h}+\frac{y}{k}=2$
$m=-\frac{k}{h}\therefore y=-mx$