JAMB Mathematics 2007 Objective — Question 32

Question 32 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2007 Objective paper, with the correct answer and a full explanation.

What is the value of k if the mid-point of the line joining (1-k,-4) and (2,k+1) is (-k,k)?

A. -1
B. -2
C. -3Correct
D. -4

Explanation

Equating the x-coordinate: -k = (1-k+2)/2 = (3-k)/2. Solving gives -2k=3-k, so k=-3.

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