JEE Main & Advanced JEE Main Paper (Held On 10 April 2015)

  • question_answer
    If \[2+3i\] is one of the roots of the equation \[2{{x}^{3}}-9{{x}^{2}}+kx-13=0,k\in R,\] then the real root of this equation : JEE Main Online Paper (Held On 10 April 2015)

    A)  exists and is equal to 1.

    B)  does not exist.

    C)   exists and is equal to\[\frac{1}{2}\].

    D) exists and is equal to\[\frac{1}{2}\]

    Correct Answer: C

    Solution :

                     \[\alpha =2+3;\beta =2-3i\] \[\alpha \beta \gamma =\frac{13}{2}\] \[\left( 4+9 \right)\gamma =\frac{13}{2}\]                            \[\gamma =\frac{1}{2}\]


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