## MATHEMATICS DIFFERENTIABILITY QUIZ-10

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.

•  Is continuous at x=0
•  Is not continuous at x=0
•  Is not continuous at x=0, but can be made continuous x=0
•  None of these
Solution

Q2.

•  Has no limit
•  Is discontinuous
•  Is continuous but not differentiable
•
Is differentiable
Solution

Q3.
If f(x)=a|sin⁡x |+b e|x|+c |x|3 and if f(x) is differentiable at x=0, then

•  a=b=c=0
•  a=0,b=0;c∈R
•  b=c=0,a∈R
•  c=0,a=0,b∈R
Solution

Q4.

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

Q5.

•  Continuous as well as differentiable for all x
•  Continuous for all x but not differentiable at x=0
•  Neither differentiable nor continuous at x=0
•  Discontinuous everywhere
Solution

Q6.
If f(x)=x(√x+√(x+1)), then
•  f(x) is continuous but not differentiable at x=0
•  f(x) is differentiable at x=0
•  f(x) is not differentiable at x=0
•  None of the above
Solution
>

Q7.

• c=0,a=2b
•  a=b,c∈R
•  a=b ,c=0
•  a=b,c≠0
Solution

Q8.
If f(x)=|log10⁡x |, then at x=1
•  f(x) is continuous and f'(1+)=log10⁡e,f'(1-)=-log10⁡e
•  f(x) is continuous and f'(1+)=log10⁡e,f'(1-)=log10⁡e
•  f(x) is continuous and f'(1-)=log10⁡e,f'(1+)=-log10⁡e
•  None of these
Solution

Q9.
Let f(x)=[x]+√(x-[x]), where [x] denotes the greatest integer function. Then,

•  f(x) is continuous on R+
•  f(x) is continuous on R
•  f(x) is continuous on R-Z
•  None of these
Solution

Q10.
Let f(x) be a function differentiable at x=c. Then, lim(x→c)⁡f(x) equals

•
f'(c)
•
f''(c)
•  1/(f(c))
•  None of these
Solution

#### Written by: AUTHORNAME

AUTHORDESCRIPTION

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: MATHEMATICS DIFFERENTIABILITY QUIZ-10
MATHEMATICS DIFFERENTIABILITY QUIZ-10