Question

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

Answer 1

Answer:

okk.. u can easily do it from rhs congurdncy.. mark me brainlist

Answer 2

Answer:

Let O be the centre of 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.