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Chapter 1 Class 12 Relation and Functions | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 of 5
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Let \(\mathrm{A}=\{1,2,3\}\) and consider the relation
$$ R=\{1,1),(2,2),(3,3),(1,2),(2,3),(1,3)\} . $$
Then \(R\) is
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Question 2 of 5
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be the functions defined by \(f(x)=x^3+5\). Then \(f^{-1}(x)\) is
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Question 3 of 5
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If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is
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Question 4 of 5
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Let \(\mathrm{A}=\{1,2,3, \ldots n\}\) and \(\mathrm{B}=\{a, b\}\). Then the number of surjections from A into \(B\) is
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Question 5 of 5
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Set A has 3 elements and the set B has 4 elements. Then the number of
injective mappings that can be defined from A to B is
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