If two quantities x and y vary inversely with each other, then which one of the following is true?

The correct answer is: Product of their corresponding values remains constant.

Concept use:

When two quantities vary inversely with each other, it means that as one quantity increases, the other quantity decreases in such a way that their product remains constant. This is a fundamental concept in inverse variation.

Explanation:

In inverse variation, if x and y are two quantities, then the product x ×  y is constant.

This relationship can be expressed as x × y = k, where k is a constant.

For example, if x doubles, then y must be halved to maintain the constant product.

Hence, The Correct Answer is option 2.