If A and B are any two sets, then A (A B) is equal to - Vidyadip

MCQ

If $A$ and $B$ are any two sets, then $A \cap (A \cup B)$ is equal to

✓
$A$
B
$B$
C
${A^c}$
D
${B^c}$

✓

Answer

Correct option: A.

$A$

a
(a) $A \cap (A \cup B) = A$, $[\because A \subseteq B \cup A]$.

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

Explore more

More "MCQ" from 1. set theory→1. set theory — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $\cos\text{x}+\sqrt{3}\sin\text{x}=2,\text{then}\ \text{x}=$

Let $a_1=i+\frac{1}{i}$ for $i=1,2, \ldots, 20$. Put $p=\frac{1}{20}\left(a_1+a_2+\ldots+a_{20}\right)$ and $q=\frac{1}{20}\left(\frac{1}{a_1}+\frac{1}{a_2}+\ldots+\frac{1}{a_{20}}\right)$ Then,

In a box there are $2$ red, $3$ black and $4$ white balls. Out of these three balls are drawn together. The probability of these being of same colour is

The expression $x^3 - 3x^2 - 9x + c$ can be written in the form $(x - a)^2 (x - b)$ if the values of $c$ is

$\mathop {\lim }\limits_{x \to 1} \frac{{1 + \cos \pi \,x}}{{{{\tan }^2}\pi \,x}}$ is equal to

If ${{3x + 4} \over {{x^2} - 3x + 2}} = {A \over {x - 2}} - {B \over {x - 1}}$,then $(A,\,B) = $

The general value of $\theta $ satisfying the equation $\tan \theta + \tan \left( {\frac{\pi }{2} - \theta } \right) = 2$, is

The $A.M.$ of $n$ observations is $M$. If the sum of $n - 4$ observations is $a$, then the mean of remaining $4$ observations is

If $0\,<\,x\,<\,1$, then $\frac{3}{2} x^{2}+\frac{5}{3} x^{3}+\frac{7}{4} x^{4}+\ldots . .$, is equal to :

There are 6 letters and 6 directed envelopes.Find the number of ways in which all letters are put in the wrong envelopes.