Teachoo MCQ Test

Short Quiz

Preparing for CBSE

Chapter 2 Class 11 Relations and Functions | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 480
Question 1 of 5
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Question 1 of 5
Assertion (A): The relation \(R = \{(1, 2), (1, 3), (2, 4)\}\) is a function.

Reason (R): A function is a special type of relation where every element of the domain has one and only one image.
Select one option. Answers are shown after the test.
Question 2 of 5
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 \(\mathbb{R}\).
Select one option. Answers are shown after the test.
Question 3 of 5
Let \(A=\{1,2\}\) and \(B=\{a,b,c\}\). Which ordered pair belongs to \(B\times A\)?
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Question 4 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 5 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.
Select one option. Answers are shown after the test.