WAEC Further Mathematics 2025 Objective — Question 29

Question 29 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

If the lines 3x+2y=4 and 2x-ky=1 are perpendicular, find the value of constant k.

A. 3Correct
B. 2/3
C. -2/3
D. -2

Explanation

Slopes are -3/2 and 2/k. For perpendicular lines, product of slopes = -1: (-3/2)(2/k) = -1 gives k=3.

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