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Q.

If g1,g2,g3  are three geometric means between m  and  n , then

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a

mn=g22

b

g1g3=mn

c

mn=g12

d

g1g3=g22

answer is C.

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Detailed Solution

m,g1,g2,g3,n  are in G.P then

∴g1g3=g22,g12=mg2,g32=ng2

g12g32=mng22⇒g12g32=mng1g3⇒g1g3=mn

∴g1g3=g22=mn

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