## MATHEMATICS DIFFERENTIABILITY QUIZ-9

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.
At x=3/2 the function f(x)=(|2x-3|)/(2x-3) is

•  Continuous
•  Discontinuous
•  Differentiable
•  Non-zero
Solution

Q2.
Let f(x) be defined on R such that f(1)=2,f(2)=8 and f(u+Ï…)=f(u)+kuÏ…-2Ï…2 for all u,Ï…∈R (k is a fixed constant). Then,

•  f'(x)=8x
•  f(x)=8x
•  f'(x)=x
•
None of these
Solution

Q3.
The number of discontinuities of the greatest integer function f(x)=[x],x∈(-7/2,100) is equal to

•  104
•  100
•  102
•  103
Solution

Q4.
If f(x)=|loge⁡|x||, then f'(x) equals

•  1/|x| ,x≠0
•  1/x for |x|>1 and (-1)/x for |x|<1
•  (-1)/x for |x|>1 and 1/x for |x|<1
•  1/x for |x|>0 and -1/x for x<0
Solution

Q5.

•  For x=2 only
•  For all real values of x such that x≠2
•  For all real values of x
•  For all integer values of x only
Solution

Q6.
•  -1
•  1
•  26
•  None of these
Solution
>

Q7.

• Continuous everywhere
•   Discontinuous at only one point
•  Discontinuous at exactly two points
•  None of these
Solution

Q8.
If f(x)=√(x+2√(2x-4)) +√(x-2√(2 x-4)) , then f(x) is differentiable on
•  (-∞,∞)
•  [2,∞)-{4}
•  [2,∞)
•  None of these
Solution

Q9.
f(x)=sin⁡|x|. Then f(x) is not differentiable at

•  x=0 only
•  All x
•  Multiples of Ï€
•  Multiples of Ï€/2
Solution

Q10.

•
m=1,n=0
•
m=(n Ï€)/2+1
•  n=(m Ï€)/2
•  m=n=Ï€/2
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-9
MATHEMATICS DIFFERENTIABILITY QUIZ-9
https://1.bp.blogspot.com/-33QgmPBqEf4/X6f_T05aacI/AAAAAAAALXk/rCPgxNgIvT0GU14DSFjMysIUS3yKqcjqACLcBGAsYHQ/s600/Quiz%2BImage%2B20.jpg
https://1.bp.blogspot.com/-33QgmPBqEf4/X6f_T05aacI/AAAAAAAALXk/rCPgxNgIvT0GU14DSFjMysIUS3yKqcjqACLcBGAsYHQ/s72-c/Quiz%2BImage%2B20.jpg
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING
https://www.cleariitmedical.com/2020/11/mathematics-differentiability-quiz-9.html
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/
https://www.cleariitmedical.com/2020/11/mathematics-differentiability-quiz-9.html
true
7783647550433378923
UTF-8

STAY CONNECTED