Teachoo MCQ Test

Short Quiz

Chapter 1 Class 12 Relation and Functions | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 360
Question 1 of 5
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Question 1 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 2 of 5
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For real numbers \(x\) and \(y\), define \(x \mathrm{R} y\) if and only if \(x-y+\sqrt{2}\) is an irrational number. Then the relation R is
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Question 3 of 5
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Let R be a relation on the set \(\mathbf{N}\) of natural numbers defined by \(n \mathrm{R} m\) if \(n\) divides \(m\). Then R is
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Question 4 of 5
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=\frac{1}{x} \forall x \in \mathbf{R}\). Then \(f\) is
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Question 5 of 5
NCERT Exemplar
Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=\sin x\) and \(g: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(g(x)=x^2\), then \(f \circ g\) is
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