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Maths Relations and Functions Class 11 MCQ and Assertion Questions

Short Quiz · Class 11 · Maths · CBSE

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Chapter 2 Class 11 Relations and Functions | 5 questions | about 4 minutes

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

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Question 1 of 5
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Question 1 of 5
Assertion (A): The range of the fractional part function \(f(x) = x - [x]\) is the half-open interval \([0, 1)\).

Reason (R): The function \(g(x) = [x]\) (greatest integer function) always outputs integer values, making its range the set of integers \(\mathbb{Z}\).
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Question 2 of 5
If \(\left(\dfrac{x}{3}+1,\;y-\dfrac{2}{3}\right)=\left(\dfrac{5}{3},\;\dfrac{1}{3}\right)\), then \((x,y)\) is
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Question 3 of 5
Assertion (A): The relation \(R = \{(x, y) : y = x^2, x \in \mathbb{R}\}\) represents a function from \(\mathbb{R}\) to \(\mathbb{R}\).

Reason (R): For every real number \(x\), there is a unique real number representing its square.
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Question 4 of 5
Assertion (A): If the signum function is used to classify altitude as below, at or above sea level, then \(\operatorname{sgn}(-7)+\operatorname{sgn}(0)+\operatorname{sgn}(4)=0\).
Reason (R): The range of the signum function is \(\{-1,0,1\}\).
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Question 5 of 5
Assertion (A): The value of the greatest integer function \([-2.5]\) is \(-2\).

Reason (R): The greatest integer function \(f(x) = [x]\) yields the greatest integer that is less than or equal to \(x\).
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