Question
If `a^x = b^y = c^z and b^2 = ac `, then y equal :
Answer: Option D
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`a^x = b^y = c^z = k`. Then`, a = k^(1/x) , b = k^(1/y) and c = k^(1/z)`.
`:.` `b^2 = ac hArr (k^(1/y))^2 = k^(1/x) xx k^(1/z) hArr k^(2/y) = k ^(1/x + 1/z)`
`:.` `2/y = ((x + z))/(xz) hArr y/2 = (xz)/((x + z)) hArr y = (2xz)/((x + z))`
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