Two tangents PA and PB are drawn to a circle with centre O from an external point P. Prove that `angle APB = 2 angle OAB`

Two tangents TP and TQ are drawn to a circle with centre O from an external point T . Prove that /_PTQ=2/_OPQ .

Two tangents PA and PB are drawn to a circle with centre O from an external point P. If angle OAB= 30^@ , then angle APB is: केंद्र O वाले वृत्त पर एक बाहरी बिंदु P से दो स्पर्श रेखाएँ PA तथा PB खींची जाती हैं | यदि angle OAB= 30^@ है, तो angle APB का मान क्या होगा ?

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 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. If OP= diameter of the circle,show that APB is equilateral.

From the external point P tangents PA and PB are drawn to a circle with centre O. If angle PAB = 50^(@) , then find angle AOB .

From an external point P, two tangents, PA and PB are drawn to a circle with centre 0. At one point E on the circle tangent is drawn which intersects PA and PB at C and D, respectively. If PA=10 cm, find the perimeter of the triangle PCD.