For any two sets A and B, A (A )= - Vidyadip

MCQ

For any two sets A and B, $\text{A}\cap\text{(A}\cup\text{B)}=$

✓
A
B
B
C
$\phi$
D
None of these.

✓

Answer

Correct option: A.

A

$\text{A}\cap\text{(A}\cup\text{B)}=\text{(A}\cap\text{A)}\cup\text{(A}\cap\text{B)}=\text{A}\cup\text{(A}\cap\text{B)}=\\\text{AA}\cap\text{(A}\cup\text{B)}=\text{(A}\cap\text{A)}\cup\text{(A}\cap\text{B)}=\text{A}\cup\text{(A}\cap\text{B)}=\text{A.}$

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 Sets→Sets — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Choose the correct answer. For all $n \in N, 3 \times 5^{2 n+1}+2^{3 n+1}$ is divisible by:

Suppose $A B C D$ is a trapezium whose sides and height are integers and $A B$ is parallel to $C D$. If the area of $A B C D$ is $12$ and the sides are distinct, then $|A B-C D|$

If the normal at an end of a latus rectum of an ellipse passes through an extremity of the minor axis, then the eccentricity $e$ of the ellipse satisfies

${\cos ^2}\left( {\frac{\pi }{6} + \theta } \right) - {\sin ^2}\left( {\frac{\pi }{6} - \theta } \right) = $

Let $\Delta = \left| {\,\begin{array}{*{20}{c}}1&\omega &{2{\omega ^2}}\\2&{2{\omega ^2}}&{4{\omega ^3}}\\3&{3{\omega ^3}}&{6{\omega ^4}}\end{array}\,} \right|$ where $\omega $ is the cube root of unity, then

The eccentricity of the hyperbola whose length of the latus rectum is equal to $8$ and the length of its conjugate axis is equal to half of the distance between its foci is :

The fractional value of 2.357 is:

In a classroom, one-fifth of the boys leave the class and the ratio of the remaining boys to girls is $2: 3$. If further $44$ girls leave the class, then class the ratio of boys to girls is $5: 2$. How many more boys should leave the class so that the number of boys equals that of girls?

The eccentricity of the curve represented by the equation ${x^2} + 2{y^2} - 2x + 3y + 2 = 0$ is

Let $\mathrm{C}$ be a circle with radius $\sqrt{10}$ units and centre at the origin. Let the line $x+y=2$ intersects the circle $\mathrm{C}$ at the points $\mathrm{P}$ and $\mathrm{Q}$. Let $\mathrm{MN}$ be a chord of $C$ of length $2$ unit and slope $-1$ . Then, a distance (in units) between the chord $PQ$ and the chord $MN$ is