Question

If $x\propto yz$ and $y\propto xz$ then

• A. $z\propto xy$
• B. $z$ is a constant
• C. $xyz$ is a constant
• D. none of these

Answer 1

Answer: (B)

$z$ is a constant

Given,

$x\propto yz$

$y\propto xz$

let a,b are constants

$x=ayz$

$y=bxz$

substitute $y=bxz$ in $x=ayz$

$x=bax{z}^2$

$z=\frac{1}{\sqrt{ba}}$