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KVPY Sample Paper KVPY Stream-SX Model Paper-4

  • question_answer
    Tangents are drawn from a point on the directrix to the parabola \[{{y}^{2}}=4ax.\] The locus of foot of perpendicular drawn from this point to its chord of contact is a -

    A) Straight line                   

    B) point

    C) Circle               

    D) parabola

    Correct Answer: B

    Solution :

    [B] Property of parabola : The portion of a tangent to a parabola cut off between the directrix & the curve subtends a right angle at the focus. Hence required locus is a point (focus)


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