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What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

Mathematics
JAMB 2010

What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?

  • A. y = -χ + 6
  • B. y = -χ - 6
  • C. y = χ + 6
  • D. y = χ - 6
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Correct Answer: Option A
Explanation

Locus of a point equidistant from two fixed points is the perpendicular bisector of the straight line joining the points Gradients of PQ = (5-3 / 3-1) = 2/2 = 1
Gradient bisector = -1
Equation of perpendicular bisector
y - y1 = m(χ - χ1
y - 4 = -χ + 2
y = + 6

There is an explanation video available below.


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Explanation Video

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