Theorem:If two tangents are drawn to a circle from an external point ; then (i) they subtend equal angles at the centre. (ii) they are equally inclined to the line segments ; joining the centre to that point.

If two tangents are drawn to a circle from an external point,then (i) they are equal (ii) they subtends equal angles at the centre.(iii) they are equally inclined to the segment; joining the centre to that point.

Equal chords of a circle subtend equal angles at the centre.

Assertion(A) If two tangents are drawn to a circle from an external point then they subtend equal angles at the centre. Reason (R ) A parallelogram circumscribing a circle is a rhombus

Prove that equal chords of a circle subtend equal angles at the centre.

Theorem: The length of two tangents drawn from an external point to a circle are equal.

Equal chords of congruent circles subtend equal angles at the centre.

Equal chords of congruent circles subtend equal angles at the centre.

Theorem 10.1 : Equal chords of a circle subtend equal angles at the centre

Theorem 10.2 : The lengths of tangents drawn from an external point to a circle are equal.