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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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Tangents drawn from an exterior point of a circle are………

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

Knowledge Check

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

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

  • Angle between the tangent and radius drawn through the point of contact is ……

    A
    `100^(@)`
    B
    `70^(@)`
    C
    `80^(@)`
    D
    `90^(@)`

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

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

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    ……….tangent can be drawn from a point inside a circle .

    The angle between the tangents drawn from the point (1,2) to the ellipse 3x^2 + 2y^2 = 5 is

    A line segment joining any point on a circle is called its ……

    The angle between the tangents drawn from the point (1,2) to the ellipse 3x^(2) + 2y^(2) - 5 is

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