Hello students, we are providing assertion reason questions for class 11. Assertion Reason questions are the new question format that is introduced in CBSE board. The resources for assertion reason questions are very less. So, to help students we have created chapterwise assertion reason questions for class 11 maths. In this article, you will find assertion reason questions for CBSE Class 11 Maths Chapter 12 Limits and Derivatives. It is a part of Assertion Reason Questions for CBSE Class 11 Maths Series.
| Chapter | Limits and Derivatives |
| Type of Questions | Assertion Reason Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 11 |
| Subject | Maths |
| Useful for | Class 11 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 11 Maths Chapterwise Assertion Reason |
Assertion Reason Questions on Limits and Derivatives
Assertion Reason Questions
Directions:
Each of the following questions consists of two statements: an Assertion (A) and a Reason (R). Answer them by selecting the correct option:
(a) Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
Q1. Assertion (A): The left-hand limit and right-hand limit of a function at a point must be equal for the limit to exist.
Reason (R): If a function is not defined at a point, its limit cannot exist at that point.
Answer: (b) Both A and R are true, but R is not the correct explanation of A.
Difficulty Level: Moderate
Q2. Assertion (A): The limit $\lim _{x \rightarrow 0} \frac{\sin x}{x}=1$.
Reason $(R)$ : This is a standard result used frequently in solving trigonometric limits.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q3. Assertion (A): The derivative of a constant function is zero.
Reason (R): A constant function does not change, hence its rate of change is zero.
Answer: (a) Both A and R are true, and R is the correct explanation of A.
Difficulty Level: Moderate
Q4. Assertion (A): The derivative of $x^2$ is $2 x$.
Reason (R): The formula for $\frac{d}{d x}\left(x^n\right)=n x^{n-1}$ applies for all real $n$.
Answer: (a) Both $A$ and $R$ are true, and $R$ is the correct explanation of $A$.
Difficulty Level: Moderate
Q5. Assertion (A): The derivative of a function at a point is the same as the slope of the secant joining two nearby points on the curve.
Reason (R): Derivative is defined as the limit of average rate of change as interval tends to zero.
Answer: (c) Assertion is false, but Reason is true.
Difficulty Level: Tough
Also check
- Probability Class 11 Assertion Reason Questions Maths Chapter 14
- Statistics Class 11 Assertion Reason Questions Maths Chapter 13
- Limits and Derivatives Class 11 Assertion Reason Questions Maths Chapter 12
- Introduction to Three Dimensional Geometry Class 11 Assertion Reason Questions Maths Chapter 11
- Conic Sections Class 11 Assertion Reason Questions Maths Chapter 10
- Straight Lines Class 11 Assertion Reason Questions Maths Chapter 9
- Sequences and Series Class 11 Assertion Reason Questions Maths Chapter 8
- Binomial Theorem Class 11 Assertion Reason Questions Maths Chapter 7
- Permutation and Combinations Class 11 Assertion Reason Questions Maths Chapter 6
- Linear Inequalities Class 11 Assertion Reason Questions Maths Chapter 5
- Complex Numbers and Quadratic Equations Class 11 Assertion Reason Questions Maths Chapter 4
- Trigonometric Functions Class 11 Assertion Reason Questions Maths Chapter 3
- Relations and Functions Class 11 Assertion Reason Questions Maths Chapter 2
- Sets Class 11 Assertion Reason Questions Maths Chapter 1
Topics from which assertion reason questions may be asked
- Intuitive Idea of Limits
- Derivative from First Principle
- Standard Derivatives
These are foundational to calculus and the study of change.
Assertion reason questions from the above given topic may be asked.
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Frequently Asked Questions (FAQs) on Limits and Derivatives Assertion Reason Questions Class 11
Q1: What does the chapter ‘Limits and Derivatives’ cover?
A1: It introduces and builds core mathematical concepts related to limits and derivatives.
Q2: What are assertion reason questions?
A2: These consist of an assertion and a reason. Students evaluate both statements and their relationship.
Q3: Why solve assertion reason questions from Limits and Derivatives?
A3: They enhance understanding and critical thinking around the chapteru2019s key concepts.
Q4: Are these questions helpful for CBSE exams?
A4: Yes, they are competency-based and part of CBSEu2019s exam structure.
