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

MCQ

If $A, B$ and $C$ are any three sets, then $A \times (B \cup C)$ is equal to

✓
$(A × B) \cup (A × C)$
B
$(A \cup B) × (A \cup C)$
C
$(A × B) \cap (A × C)$
D
None of these

✓

Answer

Correct option: A.

$(A × B) \cup (A × C)$

a
(a) It is distributive law.

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 2. Relation and Function→2. Relation and Function — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The lengths of major and minor axis of an ellipse are $10$ and $8$ respectively and its major axis along the $y$ - axis. The equation of the ellipse referred to its centre as origin is

Statement $-1$ : The sum of series $1+(1+2+4)+(4+6+9)+(9+12+16)+…+(361+380+400) $ is $8000$

Statement $-2$ : $\mathop \sum \limits_{k = 1}^n \left( {{k^3} - {{\left( {k - 1} \right)}^3}} \right) = {n^3},$ for any natural number $n$

lf $e_1$ , $e_2$ and $e_3$ are eccentricities of the conics $y = {x^2} - x + 3,\,\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{3{a^4}}} = 1$ and ${a^2}{x^2} - 3{a^4}{y^2} = 1$ respectively, then which of the following is correct ? (where $a > 1)$

If the sum of first $n$ terms of an $A.P.$ is $c n^2$, then the sum of squares of these $n$ terms is

The solution of the $15<\frac{3(\text{x} – 2)}{5}<0$ is:

For the hyperbola $H : x ^{2}- y ^{2}=1$ and the ellipse $E: \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1, a>b>0$, let the

$(1)$ eccentricity of $E$ be reciprocal of the eccentricity of $H$, and

$(2)$ the line $y=\sqrt{\frac{5}{2}} x+K$ be a common tangent of $E$ and $H$ Then $4\left(a^{2}+b^{2}\right)$ is equal to

Choose the correct answer. The distance between the lines $y = mx + c_1$ and $y = mx + c_2$ is:

If Tn denotes the nth term of the series 2 + 3 + 6 + 11 + 18 + . . . , then $T_{50}$ is:

Number of Solution of the equation ${(x)^{x\sqrt x }} = {(x\sqrt x )^x}$ are

$2{\cos ^2}\theta - 2{\sin ^2}\theta = 1$, then $\theta =$ .......$^o$