Download App

Relations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsRelations2 Marks
Question
Let R be the relation on Z defined by:
$\text{R}=\{(\text{a, b}):\text{a},\text{b}\in\text{Z, a}-\text{b is an integer\}}$
Find the domain and range of R.
✓

Answer

We have,
$\text{R}=\{(\text{a, b}):\text{a},\text{b}\in\text{Z, a}-\text{b is an integer\}}$
Clearly, Domain(R) = z,
Range(R) = z

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.(2 Marks)" from Relations→Relations — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the number of $4-$ digit numbers that can be formed using the digits $1, 2, 4, 5, 6, 8$ if(A)digits can be repeated.
(B)digits cannot be repeated.
→
Find n if,

${ }^{2 n} C_{r-1}={ }^{2 n} C_{r+1}$

→
Find the modulus and argument of the following complex numbers and hence express each of them in the polar form:
$\sqrt{3}+\text{i}$
→
Express the following in the form of a + ib, a, b ∈ R, i = √-1. State the values of a and b:
$\frac{(2+i)}{(3-i)(1+2 i)}$
→
Simplify the following and express in the form a + ib:
$\frac{\sqrt{5}+\sqrt{3 i}}{\sqrt{5}-\sqrt{3} i}$
→
Prove the following identities:
$\sec^4\text{x}− \sec^2\text{x}= \tan^4\text{x}+\tan^2\text{x}$
→
If n A.M.s are inserted between two numbers, prove that the sum of the means equidistant from the beginning and the end is constant.
→
Find the other trigonometric functions if : Sec $A=-\frac{25}{7}$ and $A$ lies in the second quadrant.
→
Find the centre and radius of the following circles:
$(\text{x}+5)^2+(\text{y}+1)^2=9$
→
Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow0}\frac{\text{log}(1+\text{x})}{3^{\text{x}}-1 }$
→