Question

Please solve this question ​

Answer 1

HEY SNEHA HERE IS YOUR ANSWER--

$\: \frac{1}{x} + \frac{1}{y} = \frac{1}{z}$

BQ ||PA

$\: \frac{1}{x} + \frac{1}{y} = \frac{1}{z} \\ \\ \frac{bq}{pa} = \frac{cy}{ac} (by \: \: bpt)$

$\frac{z}{x } = \frac{cy}{ac}$

YQ||CR

$\frac{yq}{cr} = \frac{ay}{ac} \\ \\ \frac{z}{y} = \frac{ay}{ac}$

NOW ADD 1 AND 2 EQUATION

$\frac{z}{y} + \frac{z}{x} = \frac{cy}{ac} + \frac{ay}{ac}$

so ,

$\frac{z}{y} + \frac{z}{x} = \frac{cy \: + ay}{ac}$

so by this

$\frac{z}{y} + \frac{z}{x} = \frac{ac}{ac} \\ \\ \frac{z}{x} + \frac{z}{y} = 1 \\ \\ take \: z \: to \: next \: side \\ \\ \frac{1}{x} + \frac{1}{y} = \frac{1}{z}$

HENCE PROVED


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