The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90o is
A
a circle
B
a semicircle
C
an arc of a circle through X, Y
D
the perpendicular bisector of XY
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
The locus is the "semicircle with diameter XY" on the given side.
By Thales’ theorem, ∠XPY = 90^\circ means P lies on the circle with diameter XY. “One side only” of line XY restricts it to a semicircle.
Source: Myschool Past Questions Archive (Record #7788)