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JAMB Mathematics 2003 Question 24

Question 24

Loci

Find the equation of the locus of a point P(x,y) which is euidistant from Q(0,0) and R(2,1).

  1. A.4x + 2y = 5
  2. B.4x − 2y = 5
  3. C.2x + 2y = 5
  4. D.2x + y = 5
Show the answer and explanation

Answer: A (4x + 2y = 5)

Explanation

x2 + y2 = (x − 2)2 + (y − 1)2 gives 0 = −4x + 4 − 2y + 1, so 4x + 2y = 5.