Relations and Functions
76 CBSE Class 11 Mathematics practice questions with answers and worked solutions.
- Difficulty: 39 easy · 35 moderate · 2 hard.
- Most-asked subtopics: Functions and their Graphs (36), Cartesian Products of Sets (19), Relations (18).
- Updated 18 August 2026.
#1 · Cartesian Products of Sets
#2 · Cartesian Products of Sets
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State whether each of the following statements are true or false. If the statement is false, rewrite the given statement correctly.
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Let A={1,2}, B={1,2,3,4}, C={5,6} and D={5,6,7,8}. Verify that #15 · Cartesian Products of Sets
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#19 · Cartesian Products of Sets
#20 · Relations
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#26 · Relations
Let A={1,2,3,4,6}. Let R be the relation on A defined by {(a,b):a,b∈A, b is exactly divisible by a}. #27 · Relations
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#34 · Functions and their Graphs
#35 · Functions and their Graphs
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#40 · Algebra of Real Functions
#41 · Algebra of Real Functions
Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.
#42 · Functions and their Graphs
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#44 · Functions and their Graphs
Find the domain and range of the following real functions:
#45 · Functions and their Graphs
#46 · Functions and their Graphs
A function f is defined by f(x)=2x−5. Write down the values of #47 · Functions and their Graphs
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#49 · Functions and their Graphs
The function 't' which maps temperature in degree Celsius into temperature in degree Fahrenheit is defined by t(C)=59C+32. Find #50 · Functions and their Graphs
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