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Prove that the tangents at the extrem...

Prove that the tangents at the extremities of any chord make equal angles with the chord.

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Knowledge Check

  • Tangents at the extremities of a focal chord of a parabola intersect on the line

    A
    directrix
    B
    tangent at vertex
    C
    axis of parabola
    D
    none

  • If the tangents at the extremities of a chord PQ of a parabola intersect at T, then the distances of the focus of the parabola from the point P,T,Q are in :

    A
    AP
    B
    GP
    C
    HP
    D
    None of these

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    Show that the locus of the point of intersection of the tangents at the extremities of any focal chord of an ellipse is the directrix corresponding to the focus.

    prove that the locus of the point of intersection of the tangents at the extremities of any chord of the parabola y^2 = 4ax which subtends a right angle at the vertes is x+4a=0 .

    The figure shown below consists of the tangents at the extremities of any chord Choose the correct option given below.

    If two equal chords of a circle intersect within the circle,prove that the line joining the point of intersection to the centre makes equal angles with the chords.

    If two equal chords of a circle in intersect within the circle,prove that : the segments of the chord are equal to the corresponding segments of the other chord.the line joining the point of intersection to the centre makes equal angles with the chords.

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