Two tangent segments BC and BD are drawn to a circle with centre O and radius r such that `angleDBC=120^(@)`. Prove that `BO=2BC.`

Two tangent segments PA and PB are drawn to a circle with centre O such that angleAPB=120^@ . Prove that OP=2AP.

Two tangent segments P A and P B are drawn to a circle with centre O such that /_A P B=120^circ . Prove that O P=2\ A P .

Two tangent segments PA and PB are drawn to a circle with centre O such that /_APB=120o. Prove that OP=2AP

From a point P, two tangents PT and PS are drawn to a circle with centre O such that angleSPT = 120^@ Prove that OP = 2PS.

In Figure,two tangents ABandAC are drawn to a circle with centre O such that /_BAC=210^(0) .Prove that OA=2AB

In Figure, two tangents A Ba n dA C are drawn to a circle with centre O such that /_B A C=120^0dot Prove that O A=2A B

From a point P ,two tangents PT and PS are drawn to a circle with center O.Such that /_SPT=120^(@). Prove that OP=2PS.

From a point P, two tangents PA and PB are drawn to a circle with centre O and radius r. If OP=2r, show that triangleAPB is equilateral.

From a point P, two tangents PA and PB are drawn to a circle with centre O and radius r. If OP=2r, show that triangleAPB is equilateral.