Download App

Sets — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsSets3 Marks
Question
For any two sets, prove that:
$\text{A}\cap(\text{A}\cup\text{B})=\text{A}.$
✓

Answer

$\text{A}\cap(\text{A}\cup\text{B})=(\text{A}\cap\text{A})\cup(\text{A}\cap\text{B})$ $[\because\cap$ is distributive over $\cup]$
$=\text{A}\cup(\text{A}\cap\text{B})$ $[\because\text{A}\cap\text{A}=\text{A}]$
$=\text{A [using (i)]}.$

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 "Solve the Following Question.(3 Marks)" from Sets→Sets — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Prove that: $\frac{\cos9^\circ+\sin9^\circ}{\cos9^\circ-\sin9^\circ}=\tan54^\circ$$ $
→
Prove that: $\sin^2\text{(n+1)}\text{A}-\sin^2\text{nA}=\sin\text{(2n+1)}\text{A}\sin\text{A}$
→
Show that the line $8 y+x=17$ touches the ellipse $x^2+4 y^2=17$. Find the point of contact.
→
Differentiate the following function with respect to $(\text{x})$:$\frac{\cos(\text{x}-2)}{\sin\text{x}}$
→
The sum of first 7 terms of an A.P. is 10 and that next 7 terms is 17. find the progression.
→
If $\sin\text{x}=\frac{4}{5}$ and $0<\text{x}<\frac{\pi}{2},$ find the value of sin 4x.
→
Find the value of

$x^3+2 x^2-3 x+21$, if $x=1+2 i$

→
The letters of the word ‘EQUATION’ are arranged in a row. Find the probability that (i) all the vowels are together

ii. arrangement starts with a vowel and ends with a consonant.

→
$\text{If} \tan\text{(A}+\text{B)}=\text{x}$ and $\tan\text{(A}-\text{B)}=\text{y},$find the values of $\tan2\text{A}$ and $\tan2\text{B}.$
→
Prove that $\frac{\sin \theta}{1-\cos \theta}+\frac{\tan \theta}{1+\cos \theta}=\sec \theta \operatorname{cosec} \theta+\cot \theta$
→