Mathematics Objective Questions and Answers: Continuity and Differentiability
Explore reliable objective questions for Continuity and Differentiability tailored for CUET learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.
Download Continuity and Differentiability MCQs with Answers
View or download the dedicated 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 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 : 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 : 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 : 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 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
Question : If sin(x+y)=log(x+y) then dy/dx =
a) -1
b) 1
c) -2
d) 2
Answer : -1
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Multiple Choice Questions (MCQs) for CUET Mathematics Continuity and Differentiability
Download Multiple Choice Questions: Continuity and Differentiability (CUET Mathematics)
Test your conceptual understanding of Continuity and Differentiability with these targeted multiple-choice questions. Designed in alignment with the latest CUET curriculum for CUET Mathematics, these problem sets build accuracy and prepare students for objective exams.
Concept Clarification for Continuity and Differentiability
Each question includes structured solution keys mapped directly to standard CUET textbooks, helping students evaluate their reasoning and correct mistakes early in their revision.
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FAQs
You can get most exhaustive CUET Mathematics MCQs Continuity and Differentiability for free on StudiesToday.com. These MCQs for CUET Mathematics are updated for the 2026-27 academic session as per CUET examination standards.
Yes, our CUET Mathematics MCQs Continuity and Differentiability include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CUET paper is now competency-based.
By solving our CUET Mathematics MCQs Continuity and Differentiability, CUET 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 CUET have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CUET exams.
Yes, you can also access online interactive tests for CUET Mathematics MCQs Continuity and Differentiability on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.