2022-12-01 | If \( \left.A=(x, y): y=e^{x}, x \in R\right\} \) and \( B=[(x, y): y=x, x \in R] \), then
(A) \... |
2022-12-01 | If \( A=\left\{(x, y): y=\frac{1}{x}, 0 \neq x \in R\right\} \) and \( B=\{(x, y): y=-x, x 1 \) ... |
2022-12-01 | If \( \alpha \varepsilon N \) and \( \alpha N=\{a x: x \varepsilon N\} \) then the set \( 6 N \c... |
2022-12-01 | If \( A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\} \), then \( (A \times B) \cap(B \times C) \) is equal ... |
2022-12-01 | If \( A=\left\{\mathrm{x} \in \mathrm{C}: \mathrm{x}^{2}=1\right\} \) and \( \mathrm{B}=\left\{\... |
2022-12-01 | If \( n(A)=115, n(B)=326, n(A-B)=47 \), then \( n A \cup B \) is equal to
(A) 373
(B) 165
(C) 37... |
2022-12-01 | Which of the following is a singleton set ?
(A) \( \quad(x:|x|=5, x \in N) \)
(B) \( \quad(x:|x|... |
2022-12-01 | A relation \( R \) from \( C \) to \( R \) is defined by \( x R y \) iff \( |x|=y \). Which of t... |
2022-12-01 | If \( R \subseteq A \times B \) and \( S \subseteq B \times C \) be two relations, then \( (S o ... |
2022-12-01 | If \( \left(\log _{5} x\right)^{2}+\log _{5} x2 \), then \( x \) belong to:
(A) \( \left(\frac{1... |
2022-12-01 | \( 7^{\log _{7}\left(x^{2}-4 x+5\right)}=x-1, x \) may have values:
(A) 2,3
(B) 7
(C) \( -2,-3 \... |
2022-12-01 | Solution set of the inequality \( 5^{x+2}\left(\frac{1}{25}\right)^{\frac{1}{x}} \) is:
(A) \( (... |
2022-12-01 | Let \( A=\{x: x \in R,|x|1\}, B=\{x: x \in R,|x-1| \geq 1\} \) and \( A \cup B=R-D \), then set ... |
2022-12-01 | The set \( (A \cup B \cup C) \cap\left(A \cap B^{\prime} \cap C^{\prime}\right)^{\prime} \cap C^... |
2022-12-01 | Let \( A=\{1,2,3, \ldots \ldots, 45\} \) and \( R \) be the relation is square of in \( A \). Wh... |
2022-12-01 | The set of all integers \( x \) such that \( |x-3|2 \) is equal to
(A) \( \{1,2,3,4,5\} \)
(B) \... |
2022-12-01 | Let \( R \) be a relation in \( N \) defined by \( R=\{(x, y): x+2 y=8\} \). The range of \( R \... |
2022-12-01 | If \( A \) and \( B \) are two sets, then \( A \cap(A \cup B) \) equals
(A) \( \quad \mathrm{A} ... |
2022-12-01 | If \( R=\{(\boldsymbol{x}, \boldsymbol{y}): \boldsymbol{x}, \boldsymbol{y} \mathrm{I} Z, \boldsy... |
2022-12-01 | Which of the following does not have a proper subset?
(A) \( \{\mathrm{x}: \mathrm{x} \in \mathr... |
2022-12-01 | Let \( A=\{p, q, r, s\} \) and \( B=\{1,2,3\} \). Which of the following relations from \( A \) ... |