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Prove that the angle between the two tangents drawn from an external point to a circle is supplementary to the angle subtended by the line - segment joining the points of contact at the centre.

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Knowledge Check

  • The length of the two tangent segment drawn to a circle from an external point are……………..

    A
    Equal
    B
    Unequal
    C
    Infinite
    D
    Can't say

  • The two tangents from an external points P to a circle with centre at O are PA and PB. If angleAPB=70^(@) then the value of angleAOB is

    A
    `100^(@)`
    B
    `110^(@)`
    C
    `120^(@)`
    D
    `130^(@)`

  • The two tangents from an external points P to a circle with centre at O are PA and PB. If angle APB=70^(@) then the value of angle AOB is

    A
    `100^(@)`
    B
    `110^(@)`
    C
    `120^(@)`
    D
    `130^(@)`

    • Similar Questions

    Explore conceptually related problems

    The lengths of the two tangents drawn from ………….. point to a circle are equal.

    The length of the two tangent segment drawn to a circle from an external point are……………..

    The two tangents from an external points P to a circle with centre at O are PA and PB. If angle APB=70^(@) then the value of angle AOB is

    If the two tangents drawn from a point P to the parabola Y ^(2) = 4x are at right angles then the locus of P is

    If the two tangents drawn from a point P to the parabola y^(2) = 4x are at right angles then the locus of P is

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