JEE Main & Advanced Sample Paper JEE Main Sample Paper-8

  • question_answer
    The straight line \[y=m\,\,(x-a)\]meets the parabola \[{{y}^{2}}=4ax\]in two distinct points for

    A)  all \[m\in R\]                    

    B)  all me [-1, 1]

    C)  all \[m\in R-\{0\}\]         

    D)  None of these

    Correct Answer: C

    Solution :

     \[{{y}^{2}}=4a\left( \frac{y+am}{m} \right)\]i.e., \[m{{y}^{2}}-4ay-4{{a}^{2}}m=0\] \[m\ne 0;16{{a}^{2}}+16{{a}^{2}}{{m}^{2}}>0\]which is true \[\forall \]m. \[\therefore \]\[m\in R-\{0\}\]


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