CUET-PG SERIES Mathematics
Continuity And Differentiability
5 previous year questions.
Volume: 5 Ques
Yield: Medium
High-Yield Trend
5
2023 Chapter Questions 5 MCQs
01
PYQ 2023
hard
mathematics ID: cuet-pg-
The function
is continuous at (0,0), then k is equal to:
1
2
2
3
3
1
4
0
02
PYQ 2023
medium
mathematics ID: cuet-pg-
The set of all points, where the function is differentiable, is
1
(0,∞)
2
(-∞,∞)
3
(-∞,0)U(0,∞)
4
[-1,0]
03
PYQ 2023
medium
mathematics ID: cuet-pg-
The value of C in Rolle's theorem where and on is equal to :
1
0
2
π
3
4
04
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements
Statement-I :
Function is continuous at x=1
Statement-II:
Function is continuous at origin.
In the light of the above statements, choose the correct answer from the options given below.
Statement-I :
Function is continuous at x=1
Statement-II:
Function is continuous at origin.
In the light of the above statements, choose the correct answer from the options given below.
1
Both Statement-I and Statement-ll are true
2
Both Statement-I and Statement-ll are false
3
Statement-I is true but Statement-II is false
4
Statement-I is false but Statement-II is true
05
PYQ 2023
medium
mathematics ID: cuet-pg-
If f: R2→R2 is a function defined as then, which of the following is correct?
1
f(x,y) is continuous at origin
2
f(x,y) is differentiable at origin
3
f(x,y) exists and is equal to 2
4
f(x,y) is not continuous at origin