Download App

Sets — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSets1 Mark
MCQ
If $A$ and $B$ are non empty sets and $A'$ and $B'$ represents their compliments respectively then:
  • A
    $\ce{A − B = A′ − B′}$
  • B
    $\ce{A − A ′ = B − B′}$
  • ✓
    $\ce{A − B = B′ − A′}$
  • D
    $\ce{A − B′ = A′ − B}$
✓

Answer

Correct option: C.
$\ce{A − B = B′ − A′}$
Let $U \rightarrow$ Universal set
$X \rightarrow \ce{U - (A + B)}$
$\ce{B′ = X + A}$
$\ce{A′ = X + B}$
$\ce{B′ - A′ = X + A - (X + B)}$
$= \ce{X + A - X - B}$
$\ce{B′ - A′ = A - B}$

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 "M.C.Q (1 Marks)" from Sets→Sets — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Let $PS$ be the median of the triangle with vertices $P(2,2) , Q(6,-1) $ and $R(7,3) $. The equation of the line passing through $(1,-1) $ and parallel to $PS $ is :
→
$\mathop {\lim }\limits_{x \to \infty } (\sqrt {{x^2} + 1} - x)$ is equal to
→
If $7^{th}$ term from beginning in the binomial expansion ${\left( {\frac{3}{{{{\left( {84} \right)}^{\frac{1}{3}}}}} + \sqrt 3 \ln \,x} \right)^9},\,x > 0$  is equal to $729$ , then possible value of $x$ is
→
Three squares of a chess board are chosen at random, the probability that two are of one colour and one of another is
→
$\sqrt 3 \,{\rm{cosec}}\,{20^o} - \sec \,{20^o} = $
→
One card is drawn from a pack of $52$ cards. The probability of getting a jack card is:
→
If a tangent to the ellipse $x^{2}+4 y^{2}=4$ meets the tangents at the extremities of its major axis at $\mathrm{B}$ and $\mathrm{C}$, then the circle with $\mathrm{BC}$ as diameter passes through the point:
→
If roots of the equation $ax^2 + bx + c = 0$  are $(\alpha-\beta), (\gamma  - \delta)$ and roots of the equation $Ax^2 + Bx + C = 0$ are $(\alpha + \delta)$ and $(\beta + \gamma)$, then $\left| {\frac{a}{A}} \right|$ is equal to (where $D_1$ and $D_2$ are discriminants of the given equations respectively)
→
A number is chosen at random from first ten natural numbers. The probability that number is odd and perfect square is
→
How many numbers consisting of $5$ digits can be formed in which the digits $3, 4$ and $7$ are used only once and the digit $5$ is used twice
→