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If sum of the `A.M. & G.M.` of two positive distinct numbers is equal to the difference between the number then numbers are in ratio :A. `1:3`B. `1:6`C. `9:1`D. `1:12` |
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Answer» Correct Answer - C If "sum" of the `A.M.` & ………. `(a+b)/(2)+sqrt(ab) = a-b` `a+b+2sqrt(ab) = 2a-2b` `(a-3b)^(2)= 4ab` `a^(2)9b^(2) -10ab = 0` `(a-9b)(a-b) = 0` `a = 9b as a-b != 0` `(a)/(b) = (9)/(1)` |
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