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JAMB Mathematics 1984 Question 36

Question 36

Algebraic Expressions

If pq + 1 = q2 and t = 1/p − 1/pq express t in terms of q.

  1. A.1/(p − q)
  2. B.1/(q − 1)
  3. C.1/(q + 1)
  4. D.1 + q
  5. E.1/(1 − q)
Show the answer and explanation

Answer: C (1/(q + 1))

Explanation

t = (q − 1)/pq, and pq = q² − 1. So t = (q − 1)/((q − 1)(q + 1)) = 1/(q + 1).