Question

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

CLASS 10 CH 10 CIRCLE

Answer 1

Hey mate!

Here's your answer!!
___________________

Let O be the centre of the given circle.

AB is the tangent drawn touching the circle at A.

Draw AC ⊥ AB at point A, such that point C lies on the given circle.

∠OAB = 90° (Radius of the circle is perpendicular to the tangent)
Given ∠CAB = 90°
∴ ∠OAB = ∠CAB

This is possible only when centre O lies on the line AC.

Hence, perpendicular at the point of contact to the tangent to a circle passes through the centre of the circle.
____________________
$hope \: it \: helps \: you...$

✌ ✌ ✌

#Be Brainly

Answer 2

Hi , there !!



here is your answer :-


look this attachment :-



hope it help you dear !!



thanks !!!