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Domain, Range of Relation - Practice Questions & MCQ
Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main
Quick Facts
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Domain, Range of Relation is considered one of the most asked concept.
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39 Questions around this concept.
Solve by difficulty
The domain of the function
If defined by
, is onto, then the interval of
is
The range of the function is
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What is the domain of the following relation $\mathrm{R}=\{(1,3),(-1,2),(3,1),(1,-2)\}$ ?
What is the range of the relation R, where R={(x,y):x-y=3 and x,y$\in$N and y<4}
If $\frac{6 a^2-5 a-3}{a^2-2 a+6} \leq 4 \quad$ the least and the highest value of $4 a^2$are
Find the range of the function $y=f(x)$ if its graph is
The domain and range of the function f given by $f (x) = 2 - \left |x -5 \right |$ is
Find the domain $f(b)=\frac{1}{\sqrt{b-5}}+b^2+\frac{1}{\sqrt{b+7}}$
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Concepts Covered - 1
Domain, Range of Relation
Domain
The domain of a relation R is the set of all first elements of the ordered pairs in a relation R . eg. $R=\{(a, b),(c, d)\}$, then the domain is $\{a, c\}$
Range
The range of a relation R is the set of all second elements of the ordered pairs in a relation R . eg. $R=\{(a, b),(c, d)\}$. Then Range is $\{b, d\}$
Co-domain
Co-domain in a relation from $A$ to $B$ is the set $B$ itself.
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