A binary operation * is defined on the set of real numbers, R, by P
FURTHER MATHEMATICS
WAEC 2021
A binary operation * is defined on the set of real numbers, R, by
P * q = \(\frac{q^2 - p^2}{2pq}\). Find 3 * 2
- A. \(\frac{13}{12}\)
- B. \(\frac{5}{12}\)
- C. -\(\frac{5}{12}\)
- D. \(\frac{-1}{2}\)
Correct Answer: C. -\(\frac{5}{12}\)
Explanation
P * q = \(\frac{q^2 - p^2}{2pq}\).
3 * 2 (where p = 3, q = 2)
i.e 3 *2 = \(\frac{3^2 - 2^2}{2 *3 * 2}\)
= \(\frac{4 - 9}{12}\)
= \(\frac{-5}{12}\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *