# Ex.10.2 Q5 Circles Solution - NCERT Maths Class 10

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## Question

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the center.

## Text Solution

To prove:

Perpendicular at the point of contact to the tangent to a circle passes through the centre.

Reasoning and Steps:

By theorem, tangent at any point of a circle is perpendicular to the radius through the point of contact.

Radius will always pass through the center of the circle.

Hence proved that perpendicular $$PR$$ of tangent $$PQ$$ passes through center $$O.$$

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