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In the given figure, AB is a tangent to a circle with centre O. Prove `angle BPQ = angle PRQ`.

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Knowledge Check

  • In the given figure , AB is a tangent to the circle with centre O and angle BPQ = 40 ^(@) . Find PQ : AQ.

    A
    ` 1 :2 `
    B
    ` 1 : 3`
    C
    ` 2 : 1`
    D
    ` 3 : 1`

  • In the given figure, AB and AC are tangents to the circle with centre O. Given that angle BAC = 70^(@) and P is a point on the minor are BC, find angle BPC.

    A
    `110^(@)`
    B
    `140^(@)`
    C
    `125^(@)`
    D
    `136^(@)`

  • In the given figure, AP and BP are tangents to a circle with centre O. IF angle APB=62^@ then the measure of angle AQB is

    A
    a) `59^@`
    B
    b) `28^@`
    C
    c) `118^@`
    D
    d) `31^@`

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    In the figure XY is a tangent to the circle with centre O at A. If angle BAX = 70^(@), angle BAQ = 40^(@) then angle ABQ is equal to :

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