HyperbolaHardBloom L3
Question
Locus of the middle point of the parallel chords with gradient $m$ of the rectangular hyperbola $xy = c^{2}$ is :
Options
A.$y + mx = 0$
B.$y - mx = 0$
C.$my - x = 0$
D.$my + x = 0$
Solution
Sol. (a) Equation of $AB$ is
$$\begin{matrix} \frac{x}{h} + \frac{y}{k} & \ = 2 \\ m & \ = - \frac{k}{h} \end{matrix}$$
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