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Prove that the angle between the two tan...

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 angle between the two tangents drawn from the point (1,4) to the parabola y^(2)=12 x is

    A
    `tan ^(-1)((1)/(2))`
    B
    `tan ^(-1)((1)/(3))`
    C
    `tan ^(-1)(2)`
    D
    none of these

  • Angle between tangents drawn from the point (1,4) to the parabola y^(2)=4x is

    A
    `(pi)/(6)`
    B
    `(pi)/(4)`
    C
    `(pi)/(3)`
    D
    `(pi)/(2)`

    • Similar Questions

    Explore conceptually related problems

    Prove that the "Length of tangents drawn from an external point a circle are equal".

    Prove that the tangents drawn from an external point are equal.

    Prove that the tangents drawn to a circle from an external point are equal.

    Prove that the tangents drawn to a circle from an external point are equal.

    The tangents drawn from an external point to a circle (i) are equal, (ii) subtend equal angles at the centre.

    Find the maximum number of tangents that can be drawn from an external point of a circle.

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