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

MCQ

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

A
$A$
B
$B$
✓
$\phi $
D
None of these

✓

Answer

Correct option: C.

$\phi $

c
(c) $A \cap (A \cup B)' = A \cap (A' \cap B')$,$(\because (A \cup B)' = A' \cap B'\,)$

$ = (A \cap A') \cap B'$, (by associative law)

$ = \phi \cap B'$,$(\because A \cap A' = \phi )$

$ = \phi $.

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The number of terms of an A.P. is even; the sum of all the odd terms is 24, the sum of all the even terms is 30 and the last term exceeds the first by $\frac{21}{2}$. Then the number of terms which are integers in the A.P. is :

If $2x - 4y = 9$ and $6x - 12y + 7 = 0$ are the tangents of same circle, then its radius will be

A curve is such that the area of the region bounded by the co-ordinate axes, the curve $\&$ the ordinate of any point on it is equal to the cube of that ordinate. The curve represents

$\mathop {\lim }\limits_{x \to \infty } \frac{{\sqrt {{x^2} - \sqrt {{x^2} - \sqrt {{x^2} - .....} } } }}{x}$ is equal to-

The sum to $n$ terms of the infinite series ${1.3^2} + {2.5^2} + {3.7^2} + .......$ is

From the point $(-1, 2)$ tangent lines are drawn to the parabola ${y^2} = 4x$, then the equation of chord of contact is

Let the solution curve $y=f(x)$ of the differential equation $\frac{d y}{d x}+\frac{x y}{x^{2}-1}=\frac{x^{4}+2 x}{\sqrt{1-x^{2}}}, x \in(-1,1)$ pass through the origin. Then $\int_{-\frac{\sqrt{3}}{2}}^{\frac{\sqrt{3}}{2}} f ( x ) dx$ is equal to

If the straight line, $2x -3y + 17 = 0$ is perpendicular to the line passing through the points $(7, 17)$ and $(15, \beta )$, then $\beta $ equals:

If $f(x)\, = \,\mathop {\lim }\limits_{n \to \infty } {\mkern 1mu} \frac{{\left[ {{x^2}} \right] + [{{(2x)}^2}] + [{{(3x)}^2}] + \cdots + [{{(nx)}^2}]}}{{{n^3}}}{\mkern 1mu} $ then $f(x)$ is (Where $[·]$ is G.I.F.)

If $A + B + C = \pi $ and $\cos A = \cos B\,\cos C,$ then $\tan B\,\,\tan C$ is equal to