JAMB - Mathematics (1994 - No. 28)

What is the locus of a point P which moves on one side of a straight line XY, so that the angle XPY is always equal to 90o?
the perpendicular bisector of XY
a right-angled triangle
a circle
a semi circle

Explanation

Since XY is a fixed line and

XPY = 90o P is on one side of XY

P1P2P3......Pn are all possible cases where

XPY = 90o the only possible tendency is a semicircle because angles in semicircle equals 90o

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