Teachoo Quiz

Short Quiz

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

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Question 1 of 5
Question 1 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 \(\mathbb{R}\).
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Question 2 of 5
Assertion (A): If \(n(A)=4\), then \(n(A\times A)=16\).
Reason (R): For every finite set \(A\), \(n(A\times A)=2n(A)\).
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Question 3 of 5
If \(A=\{1,2\}\) and \(B=\{3,4\}\), how many subsets does \(A\times B\) have?
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Question 4 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 \((f \cdot g)(x) = f(x)g(x)\).
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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.
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