Q175
ArithmeticRatio, Proportion & Mixtures
If $x - y \propto \frac{1}{z}$, $y - z \propto \frac{1}{x}$, $z - x \propto \frac{1}{y}$ then sum of three variation constant is:
- a.−1
- b.0
- c.1
- d.±1
Answer: (B) 0
The constants are $k_1 = z(x - y)$, $k_2 = x(y - z)$ and $k_3 = y(z - x)$. Adding, $zx - zy + xy - xz + yz - yx = 0$. So the sum is 0, not ±1.