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

Go back to  'Ex.10.2'

## 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 $$O.$$

Learn math from the experts and clarify doubts instantly

• Instant doubt clearing (live one on one)
• Learn from India’s best math teachers
• Completely personalized curriculum