Question

Which of the following is true for $X\propto \frac{1}{Y}$

• A. $X=\frac{Y}{k}$, where k = constant
• B. $X\times Y=k$, where k = constant
• C. $X=\frac{Y}{k}$, where k = Variable
• D. $X\times Y=k$, where k = Variable

Answer 1

The correct option is B $X\times Y=k$, where k = constant

Concept: Two quantities X and Y are said to be in inverse proportion if an increase in X causes a proportional decrease in Y and vice-versa, in such a manner that the product of their corresponding values remains constant. That is, XY = k where k is a positive number.