JAMB Mathematics 2021 Objective — Question 35

Question 35 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.

35. Find the value of k if the line 2y - kx + 4 = 0 is perpendicular to the line y + ¼x - 1 = 0 (a) -4 (b) 4 (c) 8 (d) -8

A. -4
B. 4
C. 8Correct
D. -8

Explanation

Rewriting 2y-kx+4=0 as y = (k/2)x - 2, gradient m1 = k/2. Rewriting y+¼x-1=0 as y = -¼x+1, gradient m2 = -¼. For perpendicular lines, m1×m2 = -1: (k/2)(-1/4) = -1, so k = 8.

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