JEE Main & Advanced Sample Paper JEE Main Sample Paper-11

  • question_answer
    The straight line y=m(x-a) meets the parabola y2 = 4 ax Q in two distinct points for

    A)  all m\[\in \]R                    

    B)  all \[\in [-1,1]\]

    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., \[m{{y}^{2}}-4ay-4{{a}^{2}}m=0\] \[m\ne 0;16{{a}^{2}}{{m}^{2}}>0\]which is true\[\forall \]m. \[\therefore m\in R-\{0\}\]


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