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
Explication
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
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