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If a,x,b are in A.P.,a,y,b are in G.P. a...

If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that x=9z and `gt0,bgt0`, then

A

`|y|=3z`

B

`x=3|y|`

C

`2y=x+z`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
x is A.M. of a and b, y is G.M. of a and b ,z is H.M. of and b.
`y^(2)=xz`
Also given,
x=9z
`rArrx=9y^(2)//x`
`rArrx=3absy`
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