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Domain, Range of Relation - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • Domain, Range of Relation is considered one of the most asked concept.

  • 39 Questions around this concept.

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The domain of the function

f(x)=\frac{1}{\sqrt{\left | x \right |-x}}is

If f:R\rightarrow S, defined by f\left ( x \right )= \sin x-\sqrt{3}\cos x+1 , is onto, then the interval  of S is

The range of the function f\left ( x \right )= ^{7-x}P_{x-3} 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

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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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if $y=\frac{1}{(x+3)(x+2)-(3 x+5)}$, find all the possible values of $x$.

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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Domain, Range of Relation

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