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JAMB Mathematics 1987 Question 16

Question 16

Algebraic Expressions

If P = 2/3 (1 − r2)/n2, find n when r = √(1/3) and p = 1

  1. A.3/2
  2. B.3
  3. C.1/3
  4. D.2/3
Show the answer and explanation

Answer: D (2/3)

Explanation

With r² = 1/3: 1 = (2/3)(1 − 1/3)/n² = (2/3)(2/3)/n² = (4/9)/n². So n² = 4/9 and n = 2/3.