JEE Main & Advanced Sample Paper JEE Main Sample Paper-40

  • question_answer
    The straight line y = mx + c is a tangent to the parabola x2 = 4 by if

    A) c = b/m                      

    B) c = - bm

    C) \[c=-b{{m}^{2}}\]              

    D) \[c=\frac{b}{{{m}^{2}}}\]

    Correct Answer: C

    Solution :

    Solving \[y=mx+c\]with\[{{x}^{2}}=4\]by, we get. \[{{x}^{2}}=4b(mx+c)\Rightarrow {{x}^{2}}-4bmx-4bc=0\] Hence, discriminant = 0 \[\Rightarrow \]\[16{{b}^{2}}{{m}^{2}}+16bc=0\Rightarrow c=-b{{m}^{2}}\]


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