Download App

Sets — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsSets3 Marks
Question
Let $A = {1, 2, 4, 5}, B = {2, 3, 5, 6}, C = {4, 5, 6, 7}.$
Verify the following identities:
$\text{A}\cap(\text{B}-\text{C})=(\text{A}\cap\text{B})-(\text{A}\cap\text{C})$
✓

Answer

$\text{A} = \{1, 2, 4, 5\},$
$\text{B} = \{2, 3, 5, 6\},$
and $\text{C} = \{4, 5, 6, 7\}$
$\text{B}-\text{C} = \{2, 3\}$
$\text{A}\cap(\text{B}-\text{C}) = \{2\}\ .....(1)$
$(\text{A}\cap\text{B})= \{2, 5\}$
$(\text{A}\cap\text{C})= \{4, 5\}= \{2\}\ .....2)$
$(\text{A}\cap\text{B})-(\text{A}\cap\text{C})$
From $eq^n$​​​​​​​ (1) and $eq^n​​​​​​​$​​​​​​​ (2), we get
$\text{A}\cap(\text{B}-\text{C})=(\text{A}\cap\text{B})-(\text{A}\cap\text{C}).$

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

If $S _1, S _2$ and $S _3$ are the sums of first $n$ natural numbers, their squares and their cubes

respectively, then show that $9 S _2{ }^2= S _3\left(1+8 S _1\right)$.

→
Evaluate : $\left|\begin{array}{lll}\sec \theta & \tan \theta & 0 \\ \tan \theta & \sec \theta & 0 \\ 0 & 0 & 1\end{array}\right|$
→
Prove the following : $\tan 50^{\circ}=\tan 40^{\circ}+2 \tan 10^{\circ}$
→
How many different numbers of six digits each can be formed from the digits 4, 5, 6, 7, 8, 9 when repetition of digits is not allowed?
→
A code word is formed by two different English letters followed by two non-zero distinct digits. Find the number of such code words. Also, find the number of such code words that end with an even digit.
→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow{-\frac{1}{2}}}\frac{8\text{x}^{3}+1}{2\text{x}+1}$
→
A man is employed to count ₹ 10710. he count at the rate od ₹ 180 per minute for half an hour. after this he counts at the rate of ₹ 3 less every minute than the preceding minute. find the time takan by him to count the entire amount.
→
Find the derivatives of the following w.r.t. x. at the points indicated against them by using the method of the first principle:
$\log (2 x+1)$ at $x=2$
→
Find the equation of the straight line which passes through the point $(1, 2)$ and makes such an angle with the positive direction of x-axis whose sine is $\frac{3}{5}.$
→
A student has to answer 10 questions, choosing at least 4 from each of part A and part B. If there are 6 questions in part A and 7 in part B, in how many ways can the student choose 10 questions?
→