Multiple Choice Questions (MCQs) for Class 12 Mathematics: Chapter 05 Continuity and Differentiability
Access targeted multiple-choice questions for Chapter 05 Continuity and Differentiability designed to align with the latest CBSE academic syllabus for Class 12 Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.
Practice Chapter 05 Continuity and Differentiability MCQs for Class 12 Mathematics
View or download the dedicated Chapter 05 Continuity and Differentiability MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.
Question : If f(x)= x sin (1/x) ,x is not zero, then the value of the function at x=0,so that the function is continuous at x=0 ,is
a) 0
b) -1
c) 1
d) indeterminate
Answer : 0
Question : If the function f(x)=(2x- sin-1x)/(2x+tan-1x) is continuous at each point of its domain , then the value of f(0) is
a) 1/3
b) -1/3
c) 2/3
d) 2
Answer : 1/3
Question : Let f(x)=|x| and g(x)=|x3| then
a) f(x) and g(x) both are continuous at x=0
b) f(x) and g(x) both are differentiable at x=0
c) f(x) is differentiable but g(x) is not differentiable at x=0
d) f(x) and g(x) both are not differentiable at x=0
Answer : f(x) and g(x) both are continuous at x=0
Question : The function f(x)=1+|cosx| is
a) continuous everywhere
b) continuous no where
c) not differentiable at x=0
d) None of these
Answer : continuous everywhere
Question : If sin(x+y)=log(x+y) then dy/dx =
a) -1
b) 1
c) -2
d) 2
Answer : -1
Question : The derivative of cos-1(2x2-1) with respect to cos-1x is
a) 2
b) 1/2(1-x2)1/2
c) 2/x
d) 1-x2
Answer : 2
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Multiple Choice Questions (MCQs) for Class 12 Mathematics Chapter 05 Continuity and Differentiability
About Chapter 05 Continuity and Differentiability MCQs for Class 12 Mathematics
Review structured objective questions for Class 12 Mathematics Chapter 05 Continuity and Differentiability. Built according to official CBSE guidelines, these MCQ sets support daily revision and core concept reinforcement.
How to Verify Your MCQ Answers
Cross-reference your completed choices with comprehensive NCERT solutions for Class 12 Mathematics to ensure absolute clarity across all sub-topics in this chapter.
Enhance Speed with Online MCQ Tests
Follow up your worksheet practice by attempting the interactive online Mathematics MCQ test for this chapter to evaluate your execution speed. All platform resources are free to access.
FAQs
You can get most exhaustive CBSE Class 12 Mathematics Continuity and Differentiability MCQs Set 01 for free on StudiesToday.com. These MCQs for Class 12 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.
Yes, our CBSE Class 12 Mathematics Continuity and Differentiability MCQs Set 01 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.
By solving our CBSE Class 12 Mathematics Continuity and Differentiability MCQs Set 01, Class 12 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for Class 12 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.
Yes, you can also access online interactive tests for CBSE Class 12 Mathematics Continuity and Differentiability MCQs Set 01 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.