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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    Equation of diameter of parabola \[{{y}^{2}}=x\] corresponding to the chord \[x-y+1=0\] is             [RPET 2003]

    A)            \[2y=3\]                                    

    B)            \[2y=1\]

    C)            \[2y=5\]                                    

    D)            \[y=1\]

    Correct Answer: B

    Solution :

               Equation of diameter of parabola is \[y=\frac{2a}{m}\]            Here\[a=\frac{1}{4},\,\,\,m=1\]Þ \[y=\frac{2\times 1/4}{1}\]\[\Rightarrow \,2y=1\].


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