Question

the tangent at a point of circle is perpendicular to the _______ through the point of contact​

Answer 1

Answer:

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Hope that helps !

Answer 2

Given: A circle with center O

with tangent XY at point of contact P.

To Prove: OP⊥XY

Proof: Let Q be a point on XY connect OQ

Suppose it touches the circle at R

Hence,

OQ>OR

OQ>OP         OP=OR (radius)

Same will be the case with all other points on the circle 

Hence,

We get OP is the smallest line that connects