Download App

Sets — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSets1 Mark
MCQ
If $X$ and $Y$ are any two non empty sets then what is $(X−Y)′$ equal to?
  • A
    $X′−Y′$
  • B
    $X′∩Y$
  • ✓
    $X′∪Y$
  • D
    $X−Y′$
✓

Answer

Correct option: C.
$X′∪Y$
$\ce{X - Y = \{x : x \in X, x \in Y\}}$
$=\ce{ \{x : x \in X, x \in Y′\}}$
$\Rightarrow \ce{\{x : x \in X ∩ Y′\}}$
$\Rightarrow \ce{(X − Y)′ = (X ∩ Y)′}$
$= \ce{X′ ∪(Y′) = X′ ∪ Y}$

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

The least value of $|z|$ where $z$ is complex number which satisfies the inequality

$\exp \left(\frac{(|z|+3)(|z|-1)}{|| z|+1|} \log _{ e } 2\right) \geq \log _{\sqrt{2}}|5 \sqrt{7}+9 i |$

$i=\sqrt{-1},$ is equal to :

→
If the vertices of a triangle be $(2,1), (5,2)$ and $(3,4)$, then its circumcentre is
→
If $P\,(A) = 0.4,\,\,P\,(B) = x,\,\,P\,(A \cup B) = 0.7$ and the events $A$ and $B$ are independent, then $x =$
→
Choose the $INCORRECT$ statement $(s)$.
→
If $1,\omega ,{{\omega }^{2}}$ are three cube roots of unity, then ${{(a+b\omega +c{{\omega }^{2}})}^{3}}$ + ${{(a+b{{\omega }^{2}}+c\omega )}^{3}}$ is equal to, if $a+b+c=0$ [West Bengal JEE 1992]
→
The coefficients of three consecutive terms of $(1+x)^{n+5}$ are in the ratio $5: 10: 14$. Then $n=$
→
One card is drawn randomly from a pack of $52$ cards, then the probability that it is a king or spade is
→
If the $S.D.$ of a set of observations is $8$ and if each observation is divided by $−2,$ the $S.D.$ of the new set of observations will be:
→
The foci of $16{x^2} + 25{y^2} = 400$ are
→
Consider a square $A B C D$ of side $12$ and let $M, N$ be the midpoints of $A B, C D$ respectively. Take a point $P$ on $M N$ and let $A P=r, P C=s$. Then, the area of the triangle whose sides are $r, s, 12$ is
→