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Question

If a1x=b1y=c1z and a,b,c are in G.P., then which of the following are true?


A

x,y,z will be in A.P.

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B

x,y,z will be in G.P.

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C

x,y,z will be in H.P.

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D
None of the above
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Solution

The correct option is A

x,y,z will be in A.P.


Let a1x=b1y=c1z=k.
a=kx,b=ky,c=kz.

Since a,b,c are in G.P., b2=ac.
k2y=kx.kz=kx+z
2y=x+z
x,y,z are in A.P.


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