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Maths Relations and Functions Class 11 Assertion and Reason Questions

Assertion Reasoning Quiz · Class 11 · Maths · CBSE

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Chapter 2 Class 11 Relations and Functions | 6 questions | about 5 minutes

Practise Relations and Functions Class 11 with Teachoo's Assertion Reasoning Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 6
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Question 1 of 6
Assertion (A): For every relation from a set \(A\) to a set \(B\), its range is a subset of its codomain.
Reason (R): The domain of a relation is the set of all first components of its ordered pairs.
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Question 2 of 6
Assertion (A): The domain of the rational function \(f(x) = \frac{1}{x - 2}\) is \(\mathbb{R} - \{2\}\).

Reason (R): A rational function of the form \(\frac{p(x)}{q(x)}\) is defined for all real numbers except those where the denominator \(q(x) = 0\).
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Question 3 of 6
Assertion (A): The range of the function \(f(x) = x^2\) is the set of all non-negative real numbers, \([0, \infty)\).

Reason (R): The domain of the function \(f(x) = x^2\) is the set of all real numbers \(\mathbb{R}\).
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Question 4 of 6
Assertion (A): The rule \[ h(x)=\begin{cases} x^2, & 0\le x\le2,\\ 2x, & 2\le x\le5 \end{cases} \] is not a function because \(x=2\) belongs to both intervals.
Reason (R): At \(x=2\), both formulas give the same value, namely \(4\).
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Question 5 of 6
Assertion (A): A monitoring system has 3 sensors and 2 alert levels. The number of possible relations from the sensor set to the alert-level set is \(64\).
Reason (R): A relation is any subset of the Cartesian product, which here contains \(3\times2=6\) ordered pairs.
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Question 6 of 6
Assertion (A): If \((x+1,\,y-2)=(3,1)\), then \(x=2\) and \(y=3\).
Reason (R): In general, \(A\times B\neq B\times A\).
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