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Post-UTME Mathematics 2008 Objective — Question 8

Question 8 of 16 from the Post-UTME Screening (Post-UTME) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

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P is on the locus of points equidistant from two given points X and Y. UV is a straight line through Y parallel to the locus. If ∠PYU=40°, find ∠XPY

  • A. 100°
  • B. 80°
  • C. 50°Correct
  • D. 40°

Explanation

Since the locus (perpendicular bisector of XY) is parallel to UV and perpendicular to XY, ∠XYU=90°, so the related angle works out to 50°.

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