Two tangents are drawn from an external point A of the circle with centre at O which touches the circle at the points B and C. Prove that AO is the perpendicular bisector of BC.

Two tangents are draw from an external point A to the cirle with centre at O. If they touch the circel at the point B and C then prove that AO is the perpendicular bisector of BC.

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

The tangent drawn from an extenral point A of the circle with centre C touches the circle at B. If BC =5 cm, AC=13 cm, then the length of AB=

In the adjoining figure, two tangents drawn from external point C to a circle with centre O touches the circel at the point P and Q respectively. A tangent drawn at another point R of the circle intersects CP and CQ at the points A and B respectively. If CP = 7 cm and BC =11 cm, then determine the length of BR.

If PA and PB are tangents from an external point to a circle with centre O . LN touches the circle at M . Prove that PL + LM = PN + MN

From an external point P , two tangents PA and PB are drawn to the circle with centre O . Prove that O P is the perpendicular bisector of A B .

Two tangents PQ and PR are drawn from an external point to a circle with centre O . Prove that QORP is cyclic quadrilateral.

Two tangents PQ and PR are drawn from an external point to a circle with centre 0. Prove that QORP is cyclic quadrileral.

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C .A tangent drawn a point X lies on minor are BC intersects AB and AC at the points D and E respectively. Prove that perimeter of DeltaADE=2AB.

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C. A tangent drawn to a point X lies on minor arc BC intersects AB and AC at the points D and E respectively. Prove that peremeter of triangleADE = 2AB .