JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    The latus rectum of the parabola \[{{y}^{2}}=5x+4y+1\]is [MP PET 1996]

    A)            \[\frac{5}{4}\]                           

    B)            10

    C)            5     

    D)            \[\frac{5}{2}\]

    Correct Answer: C

    Solution :

               \[{{y}^{2}}-4y+4=5x+5\]Þ\[{{(y-2)}^{2}}=5(x+1)\]            Obviously, latus rectum is 5.


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