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 \(O.\)