Question
If A = {1, 2, 3}; B = {3, 4, 5}; C = {4, 6}, then $\text{A}\times(\text{B}\cap\text{C})=?$

Answer

  1. {(1, 4)(2, 4)(3, 4)}
Solution:
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.

Start Generating Free

Similar questions

If the events A and B are independent, then $\text{P}(\text{A}\cap\text{B})$ is equal to,
The function $f(x)=x^5-5 x^4+5 x^3-1$ has
Choose the correct answer from the given four options.
If $\text{P}(\text{A})=\frac{4}{5},$ and $\text{P}(\text{A}\cap\text{B})=\frac{7}{10},$ then $\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$ is equal to:
  1. $\frac{1}{10}$
  2. $\frac{1}{8}$
  3. $\frac{7}{8}$
  4. $\frac{17}{20}$
ox, oy are positive x-axis, positive y-axis respectively where O = (0, 0,0)  The d.c.s of the llne which bisects $\angle\text{xoy}$ are:
India play two matches each with West indies and Australia. In any match the probability of india getting 0,1 and 2 points are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are indepecdent, the probability of india getting at least 7 points is.
  1. 0.0875
  2. $\frac{1}{16}$
  3. 0.1125
  4. None of these.
If x, y, z are non-zero real numbers, then the inverse, then the inverse of the matrix $\begin{bmatrix}\text{x} & 0 & 0\\ 0 & \text{y} & 0 \\ 0 & 0 & \text{z}\end{bmatrix}$, is:
  1. $\begin{bmatrix}\text{x}^{-1} & 0 & 0\\ 0 & \text{y}^{-1} & 0 \\ 0 & 0 & \text{z}^{-1}\end{bmatrix}$
  2. $\text{xyz}\begin{bmatrix}\text{x}^{-1} & 0 & 0\\ 0 & \text{y}^{-1} & 0 \\ 0 & 0 & \text{z}^{-1}\end{bmatrix}$
  3. $\frac{1}{\text{xyz}}\begin{bmatrix}\text{x} & 0 & 0\\ 0 & \text{y} & 0 \\ 0 & 0 & \text{z}\end{bmatrix}$
  4. $\frac{1}{\text{xyz}}\begin{bmatrix} 1 & 0 & 0\\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$
Find the value of $\Delta=\left|\begin{array}{lll}a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b c\end{array}\right|$.
The value of $\begin{vmatrix}5^2&5^3&5^4\\5^3&5^4&5^5\\5^4&5^5&5^6\end{vmatrix}$ is:
Let * be a binary operation on N defined by a * b = a + b + 10 for all a, b ∈ N. The identity element for * in N is:
  1. −10
  2. 0
  3. 10
  4. Non-existent.
If $A$ is a $m \times n$ matrix such that $A B$ and $B A$ are both defined, then $B$ is an