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JAMB Mathematics 2023 Objective — Question 25

Question 25 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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Find the equation of a line which passes through the point (4,2) and is perpendicular to the line 2y=5x+4.

  • A. 5y+2x-18=0Correct
  • B. 5y-2x+18=0
  • C. 5y+2x-18=0 (variant)
  • D. 5y-2x-18=0

Explanation

Gradient of given line=5/2, so perpendicular gradient=-2/5. y-2=-2/5(x-4) ⇒ 5y+2x-18=0.

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