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Let be the arithmetic mean and be the two geometric means between any two positive numbers.
Then value of is
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Correct option is A
Let two positive numbers be a and b. Then x=(a+b)/2. Also, a, y, z, b are in G.P.If r is the common ratio of this G.P…, then b=ar3⇒r=(b/a)1/3.We have y3+z3xyz=a3r3+a3r6x(ar)ar2=a1+r3x=a+b(a+b)/2=2Similar Questions
If for the two positive numbers, then the ratio of the numbers is
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