Question

In the given figure, AB || PQ|| CD, AB = x units,CD = y units and PQ = z units. Prove that
$\frac{1}{x} + \frac{1}{y} = \frac{1}{z}$


CBSE 2015​

Answer 1

Let the distance between BQ=xz, QD=yz ,BD=xy
Therefore, xz+yz= xy
Divide it by xyz,
xz/xyz+yz/xyz=xy/xyz
1/y+1/x=1/z
1/x+1/y=1/z

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