| 2022-12-01 | If \( 3 \sin ^{2} \alpha+2 \sin ^{2} \beta=1 \) and \( 3 \sin 2 \alpha-2 \sin 2 \beta=0 \), wher... |
| 2022-12-01 | Let \( \mathrm{R}\left\{(\mathrm{x}, \mathrm{y}): \mathrm{x}^{2}+\mathrm{y}^{2}=1, \mathrm{x}, \... |
| 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 \( (x+3,4-y)=(1,7) \), then \( (x-3,4+y) \) is equal to
(A) \( (-2,-3) \)
(B) \( (-5,1) \)
(C... |
| 2022-12-01 | निम्नलिखित में कौन-से एकल समुच्चय हैं?
(i) \( A=\{x: x \) अंग्रेजी वर्णमाला का एक अक्षर है जो \(... |
| 2022-12-01 | If \( A=\left\{\mathrm{x} \in \mathrm{C}: \mathrm{x}^{2}=1\right\} \) and \( \mathrm{B}=\left\{\... |
| 2022-12-01 | If \( \alpha \varepsilon N \) and \( \alpha N=\{a x: x \varepsilon N\} \) then the set \( 6 N \c... |
| 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 | 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 | If \( a^{2}+b^{2}-a b-a-b+1 \leq 0, a, b \leq R \), then \( a+b \) is equal to:
(A) 5
(B) 2
(C) ... |
| 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 | Let \( R \) be a relation in \( N \) defined by \( R=\left\{\left(1+x, 1+x^{2}\right): x \leq 5,... |
| 2022-12-01 | Solution set of the inequality \( 5^{x+2}\left(\frac{1}{25}\right)^{\frac{1}{x}} \) is:
(A) \( (... |
| 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 \( A=\{x: x \in R,|x|1\}, B=\{x: x \in R,|x-1| \geq 1\} \) and \( A \cup B=R-D \), then set ... |
| 2022-12-01 | If \( R \subseteq A \times B \) and \( S \subseteq B \times C \) be two relations, then \( (S o ... |
| 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 | Let \( A=\{1,2,3, \ldots \ldots, 45\} \) and \( R \) be the relation is square of in \( A \). Wh... |
| 2022-12-01 | If \( A=\{1,2,3\} \) and \( B=\{3,8\} \), then \( (A \cup B) \times(A \cap B) \) is
(A) \( \{(3,... |
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