Mathematics 2004 JAMB Past Questions - Question 29: Determine the locus of a point inside a square PQRS which is equidistant from PQ and QR .

Correct Answer

A

Explanation

The locus of a point inside a square that is equidistant from two sides can be determined by finding the perpendicular bisector of those two sides.In this case, we want to find the locus of a point inside square PQRS that is equidistant from sides PQ and QR.To find the perpendicular bisector of PQ and QR, we can draw the diagonals of the square. Let's call the point where the diagonals intersect as point O.Since the diagonals of a square are perpendicular bisectors of each other, any point inside the square that is equidistant from PQ and QR will lie on the perpendicular bisector of PQ and QR, which is the diagonal line passing through point O.Therefore, the locus of a point inside square PQRS that is equidistant from PQ and QR is the diagonal line passing through the intersection point of the diagonals of the square.