# Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre

**Solution:**

Let's draw a tangent to a circle.

As we know that, a tangent at any point of a circle is perpendicular to the radius through the point of contact.

Radius will always pass through the centre of the circle.

Hence it is proved that perpendicular PR of tangent PQ passes through centre O.

**Video Solution:**

## Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre

### Maths NCERT Solutions Class 10 - Chapter 10 Exercise 10.2 Question 5:

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

It is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre