Question

In the diagram, $PQRS$ is a rhombus.
The locus of a point $X$ that moves in the rhombus such that it is always equidistant from points $Q$ and $S$, is the line:

• A. $PQ$
• B. $QR$
• C. $PR$
• D. $RS$

Answer 1

The correct option is C $PR$

Since, $PQRS$ is a rhombus, $PR\perp QS$

and we know that locus of the point equidistant from points $Q$ and $S$ is line bisector of $QS.$

Here, $PR$ is line bisector of $Q$ and $S$.

Hence, C is the correct option.