MCQ 11 Mark
The range of function $f(x)=\cos \frac{x}{3}$ is :
AnswerCorrect option: C. $[-1,1]$
View full question & answer→MCQ 21 Mark
If $f: R \rightarrow R , f(x)=\sin \pi x$ then the range of $f$ is :
AnswerCorrect option: D. $\{x /-1 \leq x \leq 1\}$
View full question & answer→MCQ 31 Mark
If $f(x)=2|x-2|-3|x-3|$, then for $2 < x < 3$. the value of $f(x)$ is :
- A
$5-x$
- B
$x-5$
- ✓
$5 x-13$
- D
$5+x$
AnswerCorrect option: C. $5 x-13$
View full question & answer→MCQ 41 Mark
The domain of function $y=\sqrt{x+1}$ is :
- A
$(-1,0)$
- B
$(1,0)$
- C
$(1, \infty)$
- ✓
$[-1, \infty]$
AnswerCorrect option: D. $[-1, \infty]$
View full question & answer→MCQ 51 Mark
The domain of function $f(x)=\frac{1}{\sqrt{|x|-x}}$ is :
- A
$R ^{+}$
- ✓
$R ^{-}$
- C
$R _0$
- D
$R$
AnswerCorrect option: B. $R ^{-}$
View full question & answer→MCQ 61 Mark
If a relation $\phi$ is defined from set C to set R such that $x \phi y \Leftrightarrow|x|=y$, then which of the following is correct :
- A
$(3+2 i) \phi 13$
- B
$3 \phi-3$
- ✓
$(3+4 i) \phi 5$
- D
$(1+i) \phi R$
AnswerCorrect option: C. $(3+4 i) \phi 5$
View full question & answer→MCQ 71 Mark
If $n(A)=p, n(B)=q$ then the number of relation from $A$ to $B$ is :
- A
$2^{p q}+1$
- ✓
$2^{p q}-1$
- C
$2^{p q-1}$
- D
$2^{p q}$
AnswerCorrect option: B. $2^{p q}-1$
View full question & answer→MCQ 81 Mark
If $A =\{2,4,5,7\}, B =\{2,3,4,6,8\}$ and a relation R is defined from set A to set B such that $x R y \Leftrightarrow x$ is divisor of $y$, then range of R is :
- A
$\{2,3,6,8\}$
- B
$\{2,4,6,7\}$
- ✓
$\{2,4,6,8\}$
- D
$\{4,6,8\}$
AnswerCorrect option: C. $\{2,4,6,8\}$
View full question & answer→MCQ 91 Mark
If $A =\{1,2,3,4\}, B =\{2,4,6,8\}$ and a relation R is defined from A to B such that " $x$ is greater than $y$ " then range of R is :
- A
$\{3,4\}$
- B
$\{2,6,8\}$
- ✓
$\{2\}$
- D
$\{2,4\}$
AnswerCorrect option: C. $\{2\}$
View full question & answer→MCQ 101 Mark
If $f(x)=\cos (\log x)$ then
$f(x) \cdot f(y) \frac{1}{2}\left[f\left(\frac{x}{y}\right)+f(x \cdot y)\right]$ is equal to :
- A
$-1$
- ✓
$0$
- C
$\frac{1}{2}$
- D
$-2$
View full question & answer→MCQ 111 Mark
If $A$ and $B$ are non empty sets, then :
- A
$A \times B =\{(a, b): a \in B, b \in A\}$
- ✓
$A \times B =\{(a, b): a \in A, b \in B\}$
- C
$A \times B =\{(a, b):(a, b) \in A ,(a, b) \in B \}$
- D
AnswerCorrect option: B. $A \times B =\{(a, b): a \in A, b \in B\}$
View full question & answer→MCQ 121 Mark
If $f(x)=\frac{x}{x-1}=y$ then the value of $f(y)$ is :
View full question & answer→MCQ 131 Mark
Which of the following rules is not a function from $R$ to $R$ ?
- A
$f(x)=x^2$
- ✓
$f(x)=\sqrt{x}$
- C
$f(x)=x^{1 / 3}$
- D
$f(x)=x^3$
AnswerCorrect option: B. $f(x)=\sqrt{x}$
View full question & answer→MCQ 141 Mark
If $f: R \rightarrow R$ is a function $f(x+y)=f(x)+f(y) \forall x$,
$y \in R$ and $f(1)=7$ then $\sum_{r=1}^n f(r)$ is :
- A
$\frac{7 n}{2}$
- B
$\frac{7(n+1)}{2}$
- C
$7 n(n+1)$
- ✓
$\frac{7 n(n+1)}{2}$
AnswerCorrect option: D. $\frac{7 n(n+1)}{2}$
View full question & answer→MCQ 151 Mark
If $A =\{1,2,3,4\}$ then which of the following is a function on A ?
AnswerCorrect option: D. $f_4=\{(x, y) / x+y=5\}$
View full question & answer→MCQ 161 Mark
If $A =\{a, b, c\}$, then the numbers of all possible non - empty relation on A is :
View full question & answer→MCQ 171 Mark
If R is a relation on $\{1,2,3\}$ such that $x$ is divisor of $y$, then R is :
- ✓
$\{(1,1),(2,2),(3,3),(1,2),(1,3)\}$
- B
$\{(1,1),(2,2),(3,3)\}$
- C
$\{(1,1),(1,2),(1,3)\}$
- D
$\{(1,1),(1,2),(1,3),(2,3)\}$
AnswerCorrect option: A. $\{(1,1),(2,2),(3,3),(1,2),(1,3)\}$
View full question & answer→MCQ 181 Mark
The set builder form of relation $\{$$(1,2),(2,5),(3,10)$, $(4,17)$ $\ldots\ldots\ldots$ $\}$ on N is :
- A
$\{(x, y) / x, y \in N, y=2 x+1\}$
- ✓
$\left\{(x, y) / x, y \in N, y=x^2+1\right\}$
- C
$\{(x, y) / x, y \in N, y=3 x-1\}$
- D
$\{(x, y) / x, y \in N, y=x+3\}$
AnswerCorrect option: B. $\left\{(x, y) / x, y \in N, y=x^2+1\right\}$
View full question & answer→MCQ 191 Mark
A relation R is defined on N such that $x R y \Leftrightarrow x+4 y$ $=16$, then the range of R is :
- A
$\{1,2,4\}$
- B
$\{1,3,4\}$
- ✓
$\{1,2,3\}$
- D
$\{2,3,4\}$
AnswerCorrect option: C. $\{1,2,3\}$
View full question & answer→MCQ 201 Mark
If $A =\{a, b, c, d\}$ and $B =\{p, q, r, s\}$ then a realtion from A to B is :
- ✓
$\{(a, p),(b, r),(c, r)\}$
- B
$\{(a, p),(b, q),(c, r),(s, d)\}$
- C
$\{(b, a),(q, b),(c, r)\}$
- D
$\{(c, s),(d, s),(r, a),(q, b)\}$
AnswerCorrect option: A. $\{(a, p),(b, r),(c, r)\}$
View full question & answer→