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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 \[bxt-ayt=ab\] and \[bx+ay=abt\] is

    A)            A parabola                                

    B)            An ellipse

    C)            A hyperbola                               

    D)            None of these

    Correct Answer: C

    Solution :

                       Multiplying both, we get \[{{(bx)}^{2}}-{{(ay)}^{2}}={{(ab)}^{2}}\] Þ \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{b}^{2}}}=1\] which is the standard equation of hyperbola.


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