## MATHEMATICS CONTINUITY QUIZ-7

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.

•  2/3
•  6
•  2
•  4
Solution

Q2.

•  Continuous and derivable at x=-1
•  Neither continuous nor derivable at x=-1
•  Continuous but not derivable at x=-1
•  None of these
Solution

Q3.

•  Continuous at x=-2
•  Not continuous x=-2
•  Differentiable at x=-2
•  Continuous but not derivable at x=-2
Solution

Q4.

•  6
•  5
•  4
•  3
Solution

Q5.

•  Is not continuous at x=a
•  Has a limit when x→a and it is equal to lm
•  Is continuous at x=a
•  Has a limit when x→a but it is not equal to lm
Solution

Q6.

•  Not continuous at x=2
•  Differenti8able at x=2
•
Continuous but not differentiable at =2
•  None of the above
Solution

Q7.

• 1
•  -1
•  0
•  2
Solution

Q8.

•  n∈(0,1]
•  n∈[1,∞)
•  n∈(-∞,0)
•  n=0
Solution

Q9.

•  For all x
•  For all x except at four points
•  For all except at seven points
•  For all except at eight-points
Solution

Q10.

•  f(x) is not continuous at x=0
•  f(x) is not continuous and differentiable at x=0
•  f(x) is not continuous at x=0 but not differentiable at x=0
•  None of these
Solution

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