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P is on the locus of points equidiatant from tw... - JAMB Mathematics 1995 Question

P is on the locus of points equidiatant from two given points X and Y. UV is a straight line throuh Y parallel to the locus. If < PYU is 40, find < xpy
A
100o
B
80 o
C
50 o
D
40 o
correct option: b

< PYU = < YPQ = 40(Alternative) = PQ(\parallel)UV

< XPQ = < YPQ = 40 o, Since QX = Qy

therefore < XPY = 80 o

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