JEE Main & Advanced Mathematics Complex Numbers and Quadratic Equations Question Bank Solution of quadratic inequations and Miscellaneous equations

  • question_answer
    The complete solution of the inequation \[{{x}^{2}}-4x<12\,\text{ is}\] [AMU 1999]

    A) \[x<-\,2\] or \[x>6\]

    B) \[-\,6<x<2\]

    C) \[2<x<6\]

    D) \[-\,2<x<6\]

    Correct Answer: D

    Solution :

    \[{{x}^{2}}-4x<12\]                     Þ  \[{{x}^{2}}-4x-12<0\] Þ  \[{{x}^{2}}-6x+2x-12<0\] Þ \[(x-6)(x+2)<0\]  Þ \[-2<x<6\]. 


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