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BCECE Engineering BCECE Engineering Solved Paper-2006

  • question_answer
    The latusrectum of the parabola \[{{y}^{2}}=4ax\]whose focal chord is \[PSQ\]such that \[SP=3\]and \[SQ=2\]is given by:

    A)  24/5                                     

    B)  12/5                     

    C)  6/5                       

    D)         1/5

    Correct Answer: A

    Solution :

    Key Idea: Since the semi-latus rectum of a parabola is the HM of segments of a focal chord. \[\therefore \]Semi-latus rectum \[=\frac{2\,SP.SQ}{SP+SQ}\]                                 \[=\frac{2\times 3\times 2}{3+2}=\frac{12}{5}\] \[\therefore \] Latus rectum of the parabola \[=\frac{24}{5}.\]


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