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1. If a,b,c are in G.P and a x =b y =c z ,then x,y,z are in a)A.P b)G.P c)H.P

1. If a,b,c are in G.P and ax=by=cz ,then x,y,z are in
a)A.P  b)G.P  c)H.P

Grade:11

3 Answers

SAGAR SINGH - IIT DELHI
878 Points
14 years ago
Dear swapnil,
a,b,c are in GP then y2= ac
Also ax=by=cz
On solving we get y=2xz/(x+z)
which means x,y,z are in H.P (C) is correct option
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Sagar Singh
B.Tech IIT Delhi
Gayatri Devi Sripada
14 Points
14 years ago

a,b,c are in GP

b2=ac,    ax=by=cz=k

              a=k1/x,b=k1/y,c=k1/z

so b2=ac

  k2/y=k1/x+1/y

2/y=i/x+1/z

so x,y,z are in HP

mehul
17 Points
7 years ago
If a,b,c are consecutive terms of a.p , a^2, b^2, c^2 are consecutive terms of g.p., a+b+c=3/4 find a

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