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

Prove that the tangent at any point of a circle is perpendicular to the radius through the point of tangent

How can you prove the converse of the above theorem. " If a line in the plane of a circle is perpendicular to the radius at its endpoint on the circle, then the line is tangent of the circle ".

Prove that the tangents drawn to a circle from an external point are equal.

Prove that the tangents drawn to a circle from an external point are equal.

Prove that the tangents drawn from an external point are equal.

Choose the correct answer and give justification for each. (i) The angle between a tangent to a circle and the radius at the point of contact is

Prove that the circle drawn with any side of a rhombus as diameter, passes through the point of intersection of its diagonals.

Prove the tangents drawn from an external point to a circle are equal.

A straight line passing through a point on a circle is

The angle formed by the radius at the point of contact with a tangent is: