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What is the locus of a point P which moves on one side of a…

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?
  • A.
    the perpendicular bisector of XY
  • B.
    a right-angled triangle
  • C.
    a circle
  • D.
    a semi circle
Correct Answer: Option D
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