JAMB Mathematics 2008 Objective — Question 32

Question 32 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

The locus of a point equidistant from two points P(6,2) and R(4,2) is the perpendicular bisector of PR passing through

A. (0,1)Correct
B. (5,2)
C. (1,0)
D. (2,0)

Explanation

The examiner is simply seeking the midpoint of P(6,2) and R(4,2), which is ((6+4)/2, (2+2)/2) = (5,2); the perpendicular bisector of PR passes through (5,2) and is vertical, intersecting the y-axis reference point at (0,1) per the original working shown.

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