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KVPY Sample Paper KVPY Stream-SX Model Paper-19

  • question_answer
    Sum of the real values of ?a? for which the \[({{a}^{2}}-3a+2)\,\,{{x}^{2}}+({{a}^{2}}-4a+3)\,\,x+({{a}^{2}}-6a+5)=0\] equation possess three distinct roots is given by -

    A) 11

    B) 10   

    C) 1

    D) None of These

    Correct Answer: C

    Solution :

    It is possible if equation becomes identity \[\Rightarrow {{a}^{2}}-3a+2=0\] \[\Rightarrow a=1,\,\,2\] \[\Rightarrow {{a}^{2}}-4a+3=0\] \[\Rightarrow a=1,\,\,3\] \[\Rightarrow {{a}^{2}}-6a+5=0\] \[\Rightarrow a=1,\,\,5\] Common value of a is 1.


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