The equation to the chord joining two points $(x_1, y_1)$ and $(x_2, y_2)$ on the rectangular hyperbola $xy = c^2$ is
The equation to the chord joining two points $(x_1, y_1)$ and $(x_2, y_2)$ on the rectangular hyperbola $xy = c^2$ is
- A
$\frac{x}{{{x_{1\,}}\, + \,\,{x_2}}}$+$\frac{y}{{{y_{1\,}}\, + \,\,{y_2}}}$ $ = 1$
- B
$\frac{x}{{{x_{1\,}}\, - \,\,{x_2}}}$+$\frac{y}{{{y_{1\,}}\, - \,\,{y_2}}} = 1$
- C
$\frac{x}{{{y_{1\,}}\, + \,\,{y_2}}}$+$\frac{y}{{{x_{1\,}}\, + \,\,{x_2}}} = 1$
- D
$\frac{x}{{{y_{1\,}}\, - \,\,{y_2}}}$+$\frac{y}{{{x_{1\,}}\, - \,\,{x_2}}}= 1$
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- [JEE MAIN 2019]