Class 9 Math All topics Circles

If a diameter of a circle bisects each of the two chords of a circle then prove that the chords are parallel.

Solution:

It is given that $AB$ and $CD$ are the two chords of the circle having $O$ as the centre

We know that $POQ$ bisect them at the points $L$ and $M$

So we get

$OL⊥AB$ and $OM⊥CD$

We know that the alternate angles are equal

$∠ALM=∠LMD$

We get

$AB∥CD$

Therefore, it is proved that the chords are parallel.

Similar topics

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes

introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes

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