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Post-UTME Mathematics 2008 Objective — Question 7

Question 7 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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Two perpendicular lines PQ and RQ intersect at (1,-1). If the equation of PQ is x-2y+4=0, find the equation of QR.

  • A. x-2+1=0
  • B. 2x+y-3=0
  • C. x-2y-3=0
  • D. 2x+y+1=0Correct

Explanation

Slope of PQ=1/2, so QR's slope=-2. Through (1,-1): y+1=-2(x-1), giving 2x+y-1=0 (matching option D, allowing for a likely sign typo in the source).

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