Question

prove that the line perpendicular to a radius of a circle at its outer end is a tangent to the circle​

Answer 1

Given:

a line perpendicular to the outer end of the radius of a circle

To find:

it is a tangent to the circle

Solution:

We know that no point in a circle is linear, if we draw a line perpendicular to the outer end line of radius at point P, the perpendicular line touches only point P, making it a tangent at point P.

Hence, the line perpendicular to a radius of a circle at its outer end is a tangent to the circle​