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If a,b,c are in A.P., then `10^(ax+10),10^(bx+10)`,10^(ex +10)` are in -

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If a,b,c are in A.P., then `10^(ax+10),10^(bx+10)`,10^(ex +10)` are in -
A. A.P
B. G.P only when `x gt0`
C. G.P for all x
D. G.P only when `x lt0`
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Correct Answer - 3
We have : `2bx = ax + cx`
`2(bx + 10) =(ax + 10) + (cx + 10)`
`10^(2(bx + 10)) = 10 ^((ax + 10)+(cx+10))`
`(10^(bx + 10))^(2) = (10^(ax+10)).(10^(cx +10))`
i.e., Number are in G.P
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