CUET-PG SERIES Mathematics
Application Of Integrals
14 previous year questions.
Volume: 14 Ques
Yield: Medium
High-Yield Trend
14
2023 Chapter Questions 14 MCQs
01
PYQ 2023
hard
mathematics ID: cuet-pg-
If and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x2,z=2, then value of is
1
2
3
4
02
PYQ 2023
medium
mathematics ID: cuet-pg-
The volume generated by the revolution of the cardioid about its axis is:
1
2
3
4
03
PYQ 2023
medium
mathematics ID: cuet-pg-
If and C is the bounding curve of the hemisphere x2+y2+z2=9,z>0, oriented in the positive direction, then value of is
1
0
2
1
3
-1
4
2
04
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements
Statement I: Draw back in Lagrange's method of undetermined multipliers is that nature of stationary point cannot be determined
Statement II: convergent
In the light of the above statements, choose the correct answer from the options given below
Statement I: Draw back in Lagrange's method of undetermined multipliers is that nature of stationary point cannot be determined
Statement II: convergent
In the light of the above statements, choose the correct answer from the options given below
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II 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 , where R is the region bounded by x = 0, x = 2, y = x, y = x+2, then is equal to:
1
1
2
4
3
12
4
6
06
PYQ 2023
medium
mathematics ID: cuet-pg-
The surface area of the cylinder inside the cylinder is:
1
4
2
8
3
16
4
32
07
PYQ 2023
medium
mathematics ID: cuet-pg-
Integrating factors of the equation y (2xy + ex) dx - ex dy = 0 is :
1
2
3
4
08
PYQ 2023
hard
mathematics ID: cuet-pg-
The orthogonal trajectory of the cardioid r = a(1+cos θ), a being the parameter is:
1
r= a(1-cosθ)
2
r = a cosθ
3
r = a(1+cosθ)
4
r=a(1+sinθ)
09
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements:
Statement I : If x2y" - 2xy' - 4y = x4, then
Statement II: If (D2-8D+15) y = 0, then auxiliary equation has equal roots.
In the light of the above statements, choose the correct answer from the options given below
Statement I : If x2y" - 2xy' - 4y = x4, then
Statement II: If (D2-8D+15) y = 0, then auxiliary equation has equal roots.
In the light of the above statements, choose the correct answer from the options given below
1
Both Statement I and Statement II are true
2
Both Statement I and Statement II are false
3
Statement I is true but Statement II is false
4
Statement I is false but Statement II is true
10
PYQ 2023
medium
mathematics ID: cuet-pg-
If , then the line integral from (0.0, 0) to (1, 1.1), along the curve C ;x=t, y=t2. z=t3 is:
1
7
2
6
3
5
4
4
11
PYQ 2023
medium
mathematics ID: cuet-pg-
A.
B.
C. grad is a vector normal to the surface ∅ = C
D. ∇∅ is the maximum rate of change of ∅
Choose the correct answer from the options given below
B.
C. grad is a vector normal to the surface ∅ = C
D. ∇∅ is the maximum rate of change of ∅
Choose the correct answer from the options given below
1
A, B, D Only
2
B, C, D Only
3
A, C, D Only
4
A, D Only
12
PYQ 2023
medium
mathematics ID: cuet-pg-
Given below are two statements:
Statement I: If ø (x, y), Ψ(x, y), and are continuous functions over region R bounded by simple closed curve C in xy-plane, then
Statement II: be a vector point function and volume V enclosed by a closed surface, then volume integral
In the light of the above statements, choose the most appropriate answer from the options given below
Statement I: If ø (x, y), Ψ(x, y), and are continuous functions over region R bounded by simple closed curve C in xy-plane, then
Statement II: be a vector point function and volume V enclosed by a closed surface, then volume integral
In the light of the above statements, choose the most appropriate answer from the options given below
1
Both Statement I and Statement II are correct
2
Both Statement I and Statement II are incorrect
3
Statement I is correct but Statement II is incorrect
4
Statement I is incorrect but Statement II is correct
13
PYQ 2023
medium
mathematics ID: cuet-pg-
Match List I with List II
Choose the correct answer from the options given below:
| List I | List II | ||
| A. | Φ=y2,∇Φ at (1, 1, 1) | I. | |
| B. | Φ=x,∇Φ at (1, -1, 2) | II. | |
| C. | Φ=2x3,∇Φ at (0, 1, 2) | III. | |
| D. | Φ=3z2,∇Φ at (1, 2, -1) | IV. | |
1
A-I, B-II, C-III, D-IV
2
A-II, B-IV, C-I, D-III
3
A-III, B-I, C-IV, D-II
4
A-IV, B-III, C-II, D-I
14
PYQ 2023
medium
mathematics ID: cuet-pg-
A. vector is said to be solenoidal if div
B. Vector is said to be irrotational if curl
C. If represents the force acting on a particle along are AB, then total work done
D. Volume integral
choose the correct answer from the options given below
B. Vector is said to be irrotational if curl
C. If represents the force acting on a particle along are AB, then total work done
D. Volume integral
choose the correct answer from the options given below
1
A, B, C Only
2
A, B, D Only
3
B, D Only
4
A, B Only
About Application Of Integrals - CUET-PG
Application Of Integrals is a vital chapter for CUET-PG aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
Why focus on Application Of Integrals PYQs?
Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Application Of Integrals carry the most weight. Then, tackle the questions iteratively to solidify your understanding.