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Question

If x, 2y, 3z are in A.P., where the distinct numbers x, y, z are in G.P., then the common ratio of the G.P. is


A

3

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B

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C

2

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D

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Solution

The correct option is B


X,y, and z are in G,P. Hence,

Y=xr,z=xr2

Also, x, 2y, and 3z zre in A.P. Hence,

4y=x+3z

4xr=x+3xr2

3r24r+1=0

(3r1)(r1)=0

r=1/3(r1is not possible as x,y,z are distinct)


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