JAMB Mathematics 2010 Objective — Question 34

Question 34 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

34. What is locus of points that equidistant from points P(1,3) and Q(3,5)? A. y=x-6 B. y=-x+6 C. y=-x-6 D. y=x+6

A. y=x-6
B. y=-x+6Correct
C. y=-x-6
D. y=x+6

Explanation

Midpoint of P and Q = (2,4). Gradient PQ = (5-3)/(3-1)=1. Since the locus is perpendicular to PQ, its gradient is -1. Equation: y-4=-1(x-2), i.e. y=-x+6.

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