JAMB Mathematics 2009 Objective — Question 33

Question 33 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

What is the value of r if the distance between the points (4,2) and (1,r) is 3 units?

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

Explanation

Distance = sqrt[(x2-x1)^2+(y2-y1)^2]. 3 = sqrt[(1-4)^2+(r-2)^2]. 9=9+(r-2)^2. (r-2)^2=0... per the original working, r evaluates to option B: 2.

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