Question

Prove that tangent drawn ta a circle is perpendicular to the radius

Answer 1

If a line touches the circle at a single point, it could not touch two lines, otherwise you would form an arc which could also be very small. A tangent could only touch one of the points, but once again the other point could be very close to the line. So,we can say that radius drawn to tangent through point of contact is the shortest distance.Hence it is perpendicular.

Answer 2

Answer:

if a line is drawn touching the circle at only one point then it should be possible if and only if it is perpendicular to the radius