JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    If P is a point on the hyperbola \[16{{x}^{2}}-9{{y}^{2}}=144\] whose foci are \[{{S}_{1}}\] and \[{{S}_{2}}\], then \[P{{S}_{1}}\tilde{\ }P{{S}_{2}}=\]

    A)            4     

    B)            6

    C)            8     

    D)            12

    Correct Answer: B

    Solution :

               \[\frac{{{x}^{2}}}{{{3}^{2}}}-\frac{{{y}^{2}}}{{{4}^{2}}}=1\]. Therefore\[P{{S}_{1}}\tilde{\ }P{{S}_{2}}=2(3)=6\].


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