List of top Mathematics Questions on Relations and functions asked in KCET

If a relation R on the set {1, 2, 3} be defined by R = {(1, 1)}, then R is

If $A = \{ x | x \in N, x \le 5 \}, B = \{ x | x \in Z, x^2 - 5x + 6 = 0\}$, then the number of onto functions from A to B is

If $a + \frac{\pi}{2} < 2 \tan^{-1} x + 3 \cot^{-1} x < b $ then 'a' and 'b' are respectively.

On the set of positive rationals, a binary operation * is defined by a * b = $\frac{2ab}{5}$ . If 2 * x = $3^{-1}$ then x =

f : R $\to$ R and g : [0, $\infty$) $\to$ R is defined by f(x) = $x^2$ and g(x) = $\sqrt{x}$ . Which one of the following is not true?

Define a relation $R$ on $A =\{1, 2, 3, 4\}$ as $_xR_y$ if $x$ divides $y$. $R$ is

The number of subgroups of the group $(Z_5, +_5)$is

In the group $G= \{0, 1,2, 3,4, 5\}$ under addition modulo $6,(2 +_6 3^{-1} +_6 4)^{-1}$=

On the set of all natural numbers $N$, which one of the following $*$ is a binary operation ?

Which one of the following is not true ?

Let f : R ⇢ R be defined by $f (x) = x^2 +1$. Then the pre images of 17 and –3 respectively are

Let f : R ⇢ R be given f(x) = tan x. Then $f^{-1}(1)$