KVPY Sample Paper KVPY Stream-SX Model Paper-21

  • 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 :

    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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