If A B = B, then - Vidyadip

MCQ

If $A \cap B = B$, then

A
$A \subset B$
✓
$B \subset A$
C
$A = \phi $
D
$B = \phi $

✓

Answer

Correct option: B.

$B \subset A$

b
(b) Since $A \cap B = B,\,\,\,\,\therefore B \subset A$

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

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

Similar questions

Let $ \vec{a}=3 \hat{i}+\hat{j}-2 \hat{k}, \vec{b}=4 \hat{i}+\hat{j}+7 \hat{k} \quad$ and $\overrightarrow{ c }=\hat{ i }-3 \hat{ j }+4 \hat{ k }$ be three vectors. If a vectors $\overrightarrow{ p }$ satisfies $\overrightarrow{ p } \times \overrightarrow{ b }=\overrightarrow{ c } \times \overrightarrow{ b }$ and $\overrightarrow{ p } \cdot \overrightarrow{ a }=0$, then $\overrightarrow{ p } \cdot(\hat{ i }-\hat{ j }-\hat{ k })$ is equal to

Let $f: R \rightarrow R$ be a differentiable function with $f(0)=0$. If $y=f(x)$ satisfies the differential equation $\frac{ dy }{ dx }=(2+5 y )(5 y -2)$ then the value of $\lim _{x \rightarrow-\infty} f(x)$ is. . . . . .

The first term of an $A.P.$ of consecutive integers is ${p^2} + 1$ The sum of $(2p + 1)$ terms of this series can be expressed as

The minimum number of times one has to toss a fair coin so that the probability; of observing at least one head is at least $90\%$ is

The number of triangles that can be formed by choosing the vertices from a set of $12$ points,$7$ of which lie on the same straight line, is

$\mathop {Lim}\limits_{n\,\, \to \,\,\infty } $ $\frac{{{1^2}\,\,n\,\, + \,\,{2^2}\,\,(n\, - \,1)\,\, + \,\,{3^2}\,\,(n\, - \,2)\,\, + \,\,.....\,\, + \,\,{n^2}\,.\,\,1}}{{{1^3}\,\, + \,\,{2^3}\,\, + \,\,{3^3}\,\, + \,\,......\,\, + \,\,{n^3}}}$ is equal to :

The eccentricity of ellipse $(x-3)^2 + (y -4)^2 = \frac{y^2}{9} +16 ,$ is -

$\mathop {\lim }\limits_{x \to 1} \frac{{x + {x^2} + ...... + {x^n} - n}}{{x - 1}}$ is equal to

Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three non zero vectors such that $\vec{b} \cdot \vec{c}=0$ and $\vec{a} \times(\vec{b} \times \vec{c})=\frac{\vec{b}-\vec{c}}{2}$. If $\vec{d}$ be a vector such that $\vec{b} \cdot \vec{d}=\vec{a} \cdot \vec{b}$, then $(\vec{a} \times \vec{b}) \cdot(\vec{c} \times \vec{d})$ is equal to

If $f\left( {\frac{{x - 4}}{{x + 2}}} \right) = 2x + 1,(x \in R = \left\{ {1, - 2} \right\}),$ then $\int {f(x)} \,dx$ is equal to (where $C$ is a constant of integration)