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JAMB Mathematics 2001 Question 26

Question 26

Loci

A point P moves such that it is equidistant from points Q and R. Find QR when PR = 8cm and ∠PRQ = 30°.

  1. A.4cm
  2. B.4√3cm
  3. C.8cm
  4. D.8√3cm
Show the answer and explanation

Answer: D (8√3cm)

Explanation

PQ = PR = 8 cm, so triangle PQR is isosceles with base angles 30°. Half of QR is 8 cos 30° = 4√3, so QR = 8√3 cm.