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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 4

  • question_answer
    TP of TQ are tangents to the parabola \[{{y}^{2}}=4ax\] at P and Q. If the chord PQ passes through the fixed point \[(-a,b)\], then the locus of T is

    A) \[ay=2b(x-b)\]    

    B) \[bx=2a(y-a)\]  

    C)  \[by=2a(x-a)\]     

    D) \[ax=2b(y-b)\]

    Correct Answer: C

    Solution :

    [c] Let the coordinates of the point T be (h, k). Chord of contact w.r.t. point T(h, k) is \[ky=2a(x+h).\]. It passes through \[(-a,b)\]. \[\Rightarrow \,\,\,bk=2a(-a+h)\] Therefore, the locus of T is by \[=2a\,(x-a).\]


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