Question

If two quantities $p$and $q$vary inversely with each other then ______ of their corresponding values remain constant.

Answer 1

Compute the required value:

Given: Two quantities $p$and $q$vary inversely with each other.

We know that when one value increases, and the other decreases then the value is said to be inversely proportional.

So if the quantity $p$ increase by a factor $x$ then the quantity $q$decreases by the same factor $x$ or if the quantity $q$increases by a factor $x$ than the quantity $p$decreases by the same factor $x$.

Thus the multiplication of $p$and $q$will always be a constant.

That is, $pq=k$. $\left[k=\mathrm{constant}\right]$

Hence, if two quantities$p$ and $q$vary inversely with each other then the product of their corresponding values remains constant.