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Tuesday, 07 July 2026
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A binary operation * is defined on the set of real numbers, R, by P * q = \(\frac{q^2 - ...

A binary operation * is defined on the set of real numbers, R, by
P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A \(\frac{13}{12}\)
  • B \(\frac{5}{12}\)
  • C -\(\frac{5}{12}\)
  • D \(\frac{-1}{2}\)
Correct Answer: Option
Explanation:
P * q = \(\frac{q^2 - p^2}{2pq}\).
3 * 2 (where p = 3, q = 2)
i.e 3 *2 = \(\frac{3^2 - 2^2}{2 *3 * 2}\)
= \(\frac{4 - 9}{12}\)
= \(\frac{-5}{12}\)

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