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JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    The locus of the point of intersection of the lines \[\sqrt{3}x-y-4\sqrt{3}k=0\] and \[\sqrt{3}kx+ky-4\sqrt{3}=0\] for different value of k is

    A)            Circle                                         

    B)            Parabola

    C)            Hyperbola                                 

    D)            Ellipse

    Correct Answer: C

    Solution :

                       Multiplying both, we get \[3{{x}^{2}}-{{y}^{2}}=48\] or \[\frac{{{x}^{2}}}{(48/3)}-\frac{{{y}^{2}}}{48}=1,\]which is a hyperbola.


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