JEE Main & Advanced JEE Main Solved Paper-2014

  • question_answer
    Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. Then the common ratio of the G.P. is :   JEE Main  Solved  Paper-2014

    A) \[\sqrt{2}+\sqrt{3}\]                      

    B) \[3+\sqrt{2}\]

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

    D) \[2+\sqrt{3}\]

    Correct Answer: D

    Solution :

    Let the numbers be \[\text{a,ar,a}{{\text{r}}^{\text{2}}}\] is G.P. Given a, 2ar, ar2 are in A.P. the\[2ar=\frac{a+a{{r}^{2}}}{2}(a\ne 0)\]which gives \[r+2+\sqrt{3},\]r = 2 + 3 , as the G.P. is an increasing G.P.

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