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Two tangents T P and T Q are drawn ...

Two tangents `T P` and `T Q` are drawn to a circle with centre `O` from an external point `T` . Prove that `/_P T Q=2/_O P Q` .

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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. Prove that angle APB = 2 angle OAB

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^@`

  • TP and TQ are tangents from T to the circle with centre O. Then is it possible to draw a circle through the points P, O, Q and T ?

    A
    No
    B
    Yes
    C
    Cannot say
    D
    Data insufficient

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