Teachoo MCQ Test

Short Quiz

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
Question 1 of 5
Assertion (A): If a set \(A\) has 3 elements and set \(B\) has 2 elements, the total number of relations from \(A\) to \(B\) is 64.

Reason (R): The total number of relations from a set with \(p\) elements to a set with \(q\) elements is \(2^{pq}\).
Select one option. Answers are shown after the test.
Question 2 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 3 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.
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Question 4 of 5
Let \(A=\{1,2,3,4,5\}\). The relation \[ R=\{(x,y):y=3x,\;x,y\in A\} \] in roster form is
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Question 5 of 5
Assertion (A): Let \(f(x) = 2x\) and \(g(x) = x^2\). Then the pointwise multiplication \((f \cdot g)(x) = 2x^3\).

Reason (R): The product of two real functions \(f\) and \(g\) is defined by \((f \cdot g)(x) = f(x)g(x)\).
Select one option. Answers are shown after the test.