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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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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 joinig the point of contact at the centre.

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Knowledge Check

  • The pair of tangents AP and AQ drawn from an external point to a circle with centre O are perpendicular to each other and the length of each tangent is 4 cm. Then, the radius of the circle is ... cm.

    A
    10
    B
    7.5
    C
    5
    D
    2.5

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