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KVPY Sample Paper KVPY Stream-SX Model Paper-19

  • question_answer
    Solution set of the equation \[{{3}^{2{{x}^{2}}}}-{{2.3}^{{{x}^{2}}+x+6}}+{{3}^{2(x+6)}}=0\]

    A) \[\{-3,2\}\]

    B) \[\{6,-1\}\]

    C) \[\{-2,3\}\]

    D) \[\{1,-6\}\]

    Correct Answer: C

    Solution :

    \[{{({{3}^{{{x}^{2}}}}-{{3}^{(x+6)}})}^{2}}=0\] \[\Rightarrow {{x}^{2}}=x+6\] \[\Rightarrow ({{x}^{2}}-x-6)=0\] \[\Rightarrow (x-3)(x+2)=0\]\[\Rightarrow x=3\,\,or\,\,x=-2\]


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