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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

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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

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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 R={(1,3),(−1,2),(3,1),(1,−2)} ?

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What is the range of the relation R, where R={(x,y):x-y=3 and x,y∈N and y<4}

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If 6a2−5a−3a2−2a+6≤4 the least and the highest value of 4a2are

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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−|x−5| is

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Find the domain f(b)=1b−5+b2+1b+7

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if y=1(x+3)(x+2)−(3x+5), find all the possible values of x.

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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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Domain, Range of Relation

Study other Related Concepts

Domain, Range of Relation Current Topic

Sets, Roster and Set Builder form of Sets
Equal and Equivalent Sets
Subsets, Proper Subset, Improper Subset, Intervals
Finite set, Infinite set, Singleton set
Power set, Universal set
Union of sets, Properties of union
Intersection of Set, Properties of Intersection
Difference of set
Complement of a set, Law of Complement, Property of Complement
Cardinal number of some sets

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