JEE Main & Advanced Mathematics Sequence & Series Question Bank Geometric Progression

  • question_answer
    The G.M. of roots of the equation \[{{x}^{2}}-18x+9=0\] is [RPET 1997]

    A) 3

    B) 4

    C) 2

    D) 1

    Correct Answer: A

    Solution :

    Let \[\alpha \] and \[\beta \] be the roots of equation \[{{x}^{2}}-18x+9=0\] \[\therefore \] G.M. of \[\alpha \] and\[\beta \]\[=\sqrt{\alpha \beta }=\sqrt{9}=3\].


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