Question

If $a^{1/x} = b^{1/y} = c^{1/z}$and $b^{2} = ac$then$x + z =$

• A. y
• B. 2y
• C. 2xyz
• D. None of these

Answer 1

Answer: (B)

2y

Answer 2

$a^{1/x} = b^{1/y} = c^{1/z} = k(\text{say}) \Rightarrow a = k^{x},b = k^{y},c = k^{z}$

$b^{2} = ac \Rightarrow (k^{y})^{2} = k^{x}.k^{z}$ $\Rightarrow$ $k^{2y} = k^{x + z} \Rightarrow x + z = 2y$.