A binary operation * is defined on the set of real numbers, R, by
P * q = \(\frac{q^2 – p^2}{2pq}\). Find 3 * 2
- \(\frac{13}{12}\)
- \(\frac{5}{12}\)
-
-\(\frac{5}{12}\)
- \(\frac{-1}{2}\)
The correct answer is: C
Explanation
P * q = \(\frac{q^2 - p^2}{2pq}\).
3 * 2 (where p = 3, q = 2)
i.e 3 *2 = \(\frac{3^2 - 2^2}{2 *3 * 2}\)
= \(\frac{4 - 9}{12}\)
= \(\frac{-5}{12}\)