## MATHEMATICS CONTINUITY QUIZ-4

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1.

•  30
•  13
•  10
•  0
Solution

Q2.

•  22
•  11
•  0
•  None of these
Solution

Q3.

•  1
•  1/2
•  2
•  -2

Q4.

•  Continuous at x=1
•  Derivable at x=1
•  Continuous at x=3
•  Derivable at x=3
Solution

Q5.

•  -1
•  0
•  -2
•  2
Solution

Q6.

•  f'(a+)=Ï•(a)
•  f'(a- )=Ï•(a)
•
f'(a+)=f'(a- )
•  None of these
Solution

Q7.

• Continuous but not differentiable
•  Discontinuous and differentiable
•  Discontinuous and not differentiable
•  Continuous and differentiable
Solution

Q8.

•  2
•  1
•  -1
•  0
Solution

Q9.

•  Discontinuous at origin because |x| is discontinuous there
•  Continuous at origin
•  Discontinuous at origin because both |x| and
|x|/x
are discontinuous there
•  Discontinuous at the origin because
|x|/x
is discontinuous there
Solution

Q10.

•  Continuous and not differentiable
•  Continuous and differentiable
•  Discontinuous and not differentiable
•  Discontinuous and differentiable
Solution

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