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In mathematics, the geometric mean is a mean or average, which indicates the central tendency or typical value of a set of numbers by using the product of their values.

Q1.  If n geometric means between a and b be G1,G2 .....Gn and a geometric mean be G, then the true relation is

•   G1.G2...Gn=G
•  G1.G2...Gn=G1/n
•  G1.G2...Gn=Gn
•  G1.G2...Gn=G2/n

G1.G2...Gn=Gn

Q2.  If x and y be two real numbers and n geometric means are inserted between x and y. now x is multiplied by k and y is multiplied 1/k and then n G.M’s. are inserted. The ratio of the ntn G.M’s. in the two cases is

•  k(n-1)/(n+1):1
•  1:k1/(n+1)
•  1:1
•  None of these

k(n-1)/(n+1):1

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