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Two tangents PA and PB are drawn to a ci...

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`

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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 ?

Knowledge Check

  • Two tangents PA and PB are drawn to a circle with centre O from an external point P. if angleOAB = 30^@," then "angleAPB is:

    A
    `15^@`
    B
    `30^@`
    C
    `120^@`
    D
    `60^@`

  • From a point P two tangents PA and PB are drawn to a circle with centre O.if OP is equal to diameter of the circle then angle APB is

    A
    `60^@`
    B
    `45^@`
    C
    `90^@`
    D
    `30^@`

  • From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then /_APB is

    A
    `45^@`
    B
    `90^@`
    C
    `30^@`
    D
    `60^@`

    • Similar Questions

    Explore conceptually related problems

    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.

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