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Assertion Reasoning Worksheet for Limits and Derivatives Class 11

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Sample questions

1. Question 1 [1 mark]
Assertion (A): As the time interval \( \Delta t \to 0 \), the average velocity of a falling body with position \( s(t) = 4.9 t^2 \) over \( [t, t + \Delta t] \) approaches the instantaneous velocity \( 9.8 t \).
Reason (R): The instantaneous rate of change of displacement with respect to time is defined as the limiting value \( \lim_{\Delta t \to 0} \frac{s(t + \Delta t) - s(t)}{\Delta t} \).
(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.
2. Question 2 [1 mark]
Assertion (A): For the function \( f(x) = \frac{x^2 - 4}{x - 2} \) (\( x \ne 2 \)), the limit \( \lim_{x \to 2} f(x) = 4 \).
Reason (R): The value of the function at \( x = 2 \) is equal to 4, i.e., \( f(2) = 4 \).
(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.
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About this Assertion Reasoning Worksheet

This assertion reasoning worksheet is designed for Class 11 Maths practice from Limits and Derivatives Class 11. It uses the question types selected for this worksheet and keeps the preview representative of the complete set.

Solve the questions first, then use the separate answer key to check the method and identify concepts that need revision. For more practice, continue with the chapter quiz or another worksheet below.

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The complete worksheet contains 10 questions. This page shows a fixed preview of 2 questions.

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Attempt the questions without the answer key, check each solution afterwards, and revise the linked chapter concepts before trying another worksheet or quiz.

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