CBSE Class 12 Mathematics — Relations and Functions

(a) A relation R is defined on Z, the set of integers, as R = {(x, y) : |x - y| is divisible by a prime number 'p', x, y in Z}. Check whether R is an equivalence relation or not. OR (b) A function $f : \mathbb{R} - \{3/5\} \to \mathbb{R} - \{3/5\}$ is defined as $f(x) = \frac{3x + 2}{5x - 3}$. Show that f is one-one and onto.