Question

In the given figure, PA, QB and RC are each perpendicular to AC. Prove that $\frac{1}{x}+\frac{1}{z}=\frac{1}{y}$.

Answer 1

It is given that _, and are each perpendicular to .

We have to prove that

In we have

$\Rightarrow \frac{y}{x}=\frac{CB}{CA}$ ......(1)

Now in _, we have

…… (2)

Adding (1) and (2) we have

Hence, .