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Maths Relations and Functions Class 11 MCQ and Assertion Questions

Short Quiz · Class 11 · Maths · CBSE

Preparing for CBSE

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 mapping shown below represents a function from the set of students to the set of lockers.
Reason (R): Every student has exactly one locker as image, although two different students may have the same locker as image.
StudentsLockerspqr12
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Question 2 of 5
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 3 of 5
Assertion (A): If a point is at coordinate \(x\) on a straight road and a checkpoint is at coordinate \(3\), then the distance function \(d(x)=|x-3|\) has range \([0,\infty)\).
Reason (R): For every real \(x\), \(|x-3|=x-3\).
xy3d(x)=|x−3|
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Question 4 of 5
Assertion (A): For any two non-empty sets \(A\) and \(B\), the Cartesian product \(A \times B\) is generally not equal to \(B \times A\).

Reason (R): The ordered pair \((a, b)\) is not equal to \((b, a)\) unless \(a = b\).
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Question 5 of 5
Assertion (A): The domain of the real-valued function \(f(x) = \sqrt{16 - x^2}\) is \([-4, 4]\).

Reason (R): For a square root function \(\sqrt{g(x)}\) to yield real values, the expression inside the root must be non-negative (\(g(x) \ge 0\)).
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