Teachoo MCQ Test

Short Quiz - Chapter 1 Class 12 Relation and Functions

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.
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Question 1 of 5
Question 1 of 5
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=3 x^2-5\) and \(g: \mathbf{R} \rightarrow \mathbf{R}\) by \(g(x)=\frac{x}{x^2+1}\). Then \(g o f\) is
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Question 2 of 5
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Let us define a relation R in \(\mathbf{R}\) as \(a \mathrm{R} b\) if \(a \geq b\). Then R is
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Question 3 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 4 of 5
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Let \(f:[0,1] \rightarrow[0,1]\) be defined by \(f(x)=\left\{\begin{array}{c}x, \text { if } x \text { is rational } \\ 1-x, \text { if } x \text { is irrational }\end{array}\right.\)
Then \((f \circ f) x\) is
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Question 5 of 5
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Which of the following functions from \(\mathbf{Z}\) into \(\mathbf{Z}\) are bijections?
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