Question
If A = {1, 2, 3}; B = {3, 4, 5}; C = {4, 6}, then $\text{A}\times(\text{B}\cap\text{C})=?$
✓
Answer
- {(1, 4)(2, 4)(3, 4)}
Given,
A = {1, 2, 3}
B = {3, 4, 5}
C = {4, 6}
Now, $\text{B}\cap\text{C}=\{{4\}}$
$\therefore\text{A}\times(\text{B}\cap\text{C})=\{(1,4),(2,4),(3,4)\}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The value of objective function is maximum under linear constraints
- at the centre of feasible region
- at (0, 0)
- at any vertex of feasible region
- the vertex which is maximum distance from (0, 0)
If a relation $R$ is defined on $A=\{1,2,3\}$, then $R$ is, where $R =\{(1,1),(2,2),(3,3),(1,2),(2,3)$, $(1,3)\}$ :
→$\int\frac{\text{xdx}}{(\text{x-1)}(\text{x-2})}$ equals:
→- $\log\begin{vmatrix}\frac{(\text{x}-1)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
- $\log\begin{vmatrix}\frac{(\text{x}-2)^2}{\text{x}-2}\end{vmatrix}+\text{c}$
- $\log\begin{vmatrix}\Big(\frac{\text{x}-1}{\text{x}-2}\Big)^2\end{vmatrix}+\text{c}$
- $\log|(\text{x}-1)(\text{x}-2)+\text{c}$
If $\text{f}(\text{x})=\text{e}^{\text{x}}\sin\text{x}$ in $[0,\pi],$ then c in Rolle's theorem is:
→- $\frac{\pi}{6}$
- $\frac{\pi}{4}$
- $\frac{\pi}{2}$
- $\frac{3\pi}{4}$
Integrating factor of the differntial equation $\cos\text{x}\frac{\text{dy}}{\text{dx}}+\text{y}\sin\text{x}=1$is:
→-
$\sin\text{x}$
-
$\sec\text{x}$
-
$\tan\text{x}$
-
$\cos\text{x}$
If a line makes angles of $90^{\circ}, 135^{\circ}$ and $45^{\circ}$ with the $x, y$ and $z$ axes respectively, then its direction cosines are
→Evaluate: $\int \tan \ x \tan 2 x \tan \ 3 x\ d x$
→Mark the correct alternative in the following question:
The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is:
→The probability that a person is not a swimmer is 0.3. The probability that out of 5 persons 4 are swimmers is:
- $\text{ }^5\text{C}_4(0.7)^4(0.3)$
- $\text{ }^5\text{C}_1(0.7)(0.3)^4$
- $\text{ }^5\text{C}_4(0.7)(0.3)^4$
- $(0.7)^4(0.3)$
If $\vec{a}$ is a nonzero vector of magnitude ' $a$ ' and $\lambda$ a nonzero scalar, then $\lambda \vec{a}$ is unit vector if :
→Choose the correct answer from the given four options.
The feasible solution for a LPP is shown in. Let Z = 3x - 4y be the objective function.
Minimum of Z occurs at:
The feasible solution for a LPP is shown in. Let Z = 3x - 4y be the objective function.
Minimum of Z occurs at: