Question

A point $X$ moves inside the square $PQRS$ such that it is always equidistant from lines $PS$ and $PQ$.
Its locus is the line:

• A. $SQ$
• B. $PR$
• C. $SR$
• D. $QR$

Answer 1

The correct option is B $PR$

For any two intersecting lines angle bisector is the line which is equidistant from the two lines.

Here, $PS$ and $PQ$ are intersected at $P$ and $PR$ is angle bisector. ....(By Properties of a square)

Hence, $PR$ is the required locus .

Therefore, B is the correct option.