Which of the following binary operations is not commutati...
Which of the following binary operations is not commutative?
\(a * b = \frac{1}{a} + \frac{1}{b}\)
\(a * b = a + b - ab\)
\(a * b = 2a + 2b + ab\)
\(a * b = a - b + ab\)
Correct answer is D
All other options given are commutative i.e. \(a * b = b * a\), except option D.
\(a * b = a - b + ab\)
\(b * a = b - a + ba\)
\(a - b = -(b - a) \neq b - a\)
If \(\log_{9} 3 + 2x = 1\), find x....
The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\)....
Evaluate \(\int^1_0 x(x^2-2)^2 dx\)...
If P = \({n^{2} + 1: n = 0,2,3}\) and Q = \({n + 1: n = 2,3,5}\), find P\(\cap\) Q....
Three forces, F\(_1\) (8N, 030°), F\(_\2) (10N, 150° ) and F\(_\3) ( KN, 240° ...