Question

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

Answer 1

Heyyyy mate..

Here is your answer...

to prove , perpendicular at the point of contact to the tangent to a circle passes through the centre..

there are two situation..they are in attachment

proof, in first situation it is already proved that only a radius can make 90° at contact point.

so, a radius which come of point by centre which can passes by centre ..

now we will prove it,

first ,when we draw a other line in 2 attachment. it will be decrease

90°>>> angle.

and the line who pass through the centre it will make 90° only passes through the centre

hope it help you