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Maths Relations and Functions Class 12 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 12 · Maths · CBSE

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Chapter 1 Class 12 Relation and Functions | 10 questions | about 8 minutes

Practise Relations and Functions Class 12 with Teachoo's 10 Question MCQ (including Assertion) (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
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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 2 of 10
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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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Question 3 of 10
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Let L denote the set of all straight lines in a plane. Let a relation R be defined by \(l \mathrm{R} m\) if and only if \(l\) is perpendicular to \(m \forall l, m \in \mathrm{~L}\). Then R is
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Question 4 of 10
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by
$$ f(x)=\left\{\begin{array}{c} 2 x: x>3 \\ x^2: 1<x \leq 3 \\ 3 x: x \leq 1 \end{array}\right. $$
Then \(f(-1)+f(2)+f(4)\) is
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Question 5 of 10
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Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as \(a \mathrm{R} b\) if \(a\) is congruent to \(b \forall a, b \in \mathrm{~T}\). Then R is
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Question 6 of 10
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=3 x-4\). Then \(f^{-1}(x)\) is given by
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Question 7 of 10
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=x^2+1\). Then, pre-images of 17 and -3 , respectively, are
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Question 8 of 10
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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 9 of 10
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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 10 of 10
NCERT Exemplar
Let \(f: \mathbf{N} \rightarrow \mathbf{R}\) be the function defined by \(f(x)=\frac{2 x-1}{2}\) and \(g: \mathbf{Q} \rightarrow \mathbf{R}\) be another function defined by \(g(x)=x+2\). Then \((g \circ f) \frac{3}{2}\) is
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