If a parallelogram circumscribes a circle, then the parallelogram is a:

Correct option is D

Given:

A parallelogram circumscribes a circle.

Concept used :
A quadrilateral can circumscribe a circle if and only if the sum of the lengths of opposite sides are equal.
For a parallelogram, opposite sides are always equal, so this condition is naturally satisfied.
However, for a circle to be tangent to all four sides of the parallelogram, the sum of adjacent sides must also be equal, i.e., all sides must be equal.

This condition is true only in a rhombus, which is a parallelogram with all sides equal.

Correct answer is (d) rhombus