NCERT Solutions for class 12 Maths | Chapter 8 - Application of Integrals

Sports GK Questions and Answers 2024 (Latest Updated)

Awards & Honours GK Questions 2024 (Latest Updated)

Questions
1 Area of the region bounded by the curve y = cos x between x = 0 and x = π is
A 2 sq. units
B 4 sq, units
C 3 sq.units
D 1 sq. units

Answer:2 sq. units
2 The area of the region bounded by the circle x² + y² = 1 is
A 2π sq. units
B 7π sq. units
C 3π sq. units
D 4π sq. units

Answer:7π sq. units
Advertisement
Article and Schedule Quiz Start Test!
DOWNLOAD CURRENT AFFAIRS PDF FROM APP
3 The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is
A 1 sq. unit
B 2 sq. unit
C 2√2 sq. units
D 4 sq. units

Answer:2 sq. unit
4 The area bounded by the lines |x| + |y| = 1 is
A 1 sq. unit
B 2 sq. units
C 2√2 sq. units
D 4 sq. units

Answer:2 sq. units
5 Area bounded between the parabola y² = 4ax and its latus rectum is
A 1/3 a sq. units
B 1/3 a² sq. units
C 8/3 a sq. units
D 8/3 a² sq. units

Answer:8/3 a² sq. units
6 Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x² + y² = 32 is
A 16π sq.units
B 4π sq. units
C 32π sq. units
D 24π sq. units

Answer:4π sq. units
7 The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π/2 and the x-axis is
A 2 sq. units
B 4 sq. units
C 3 sq. units
D 1 sq, unit

Answer:1 sq, unit
8 The area of the region bounded by the curve x = 2y + 3 and the lines y = 1 and y = -1 is
A 4 sq. units
B 3/2 sq. units
C 6 sq. units
D 8 sq, units

Answer:6 sq. units
9 TArea bounded by the lines y = |x| – 2 and y = 1 – |x – 1| is equal to
A 4 sq. units
B 6 sq. units
C 2 sq. units
D 8 sq. units

Answer:4 sq. units
10 The area of the region bounded by the line y = | x – 2 |, x = 1, x = 3 and x-axis is
A 4 sq. units
B 2 sq, units
C 3 sq. units
D 1 sq. unit

Answer:1 sq. unit
11 The area bounded by the curve 2x² + y² = 2 is
A π sq. units
B √2π sq. units
C π/2 sq. units
D 2π sq. units

Answer:√2π sq. units
12 Area of the ellipse Class 12 Maths Chapter 8 Application of Integrals 1 is
A 4π ab sq. units
B 2π ab sq. units
C π ab sq. units.
D πab/2 sq. units

Answer:π ab sq. units.
13 The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is
A 3/8 sq.units
B 5/8 sq.units
C 7/8 sq.units
D 9/8 sq. units

Answer:9/8 sq. units
14 The area of the region bounded by the ellipse Class 12 Maths Chapter 8 Application of Integrals is
A 20π sq. units
B 20π² sq. units
C 16π² sq. units
D 25π sq. units

Answer:20π sq. units
15 The area of the region bounded by the and the lines x = 2 and x = 3
A 7/2 sq. unit
B 9/2 sq. unit
C 11/2 sq. units
D 13/2 sq. units

Answer:7/2 sq. unit
16 The area of the region bounded by parabola y² = x and the straight line 2y = x is
A 4/3 sq. unit
B 1 sq. unit
C 2/3 sq. units
D 1/3 sq. units

Answer:4/3 sq. unit
17 The area of the region bounded by the curve y =Class 12 Maths Chapter 8 Application of Integrals and x-axis is
A 8π sq.units
B 20π sq. units
C 16π sq. units
D 256π sq. units

Answer:8π sq.units
18 The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ π/2 is
A √2 sq.units
B (√2 + 1) sq. units
C (√2 – 1) sq. units
D (2√2 – 1) sq.units

Answer:(√2 – 1) sq. units
19 If y = 2 sin x + sin 2x for 0 ≤ x ≤ 2π, then the area enclosed by the curve and x-axis is
A 9/2 sq. units
B 8 sq. units
C 12 sq. units
D 4 sq. unjts

Answer:12 sq. units
20 Tne area bounded by the curve y = x² – 1 and the straight line x + y = 3 is
A 9/2 sq. units
B 4 sq. units
C 7√17/6 sq. units
D 17√17/6 sq. units

Answer:17√17/6 sq. units

Random GK Questions

Q. Wilkins X-ray diffraction showed the diameter of the DNA helix as
Q. Relationship banking is :
Q. How many readings does a non-money bill have in each House of the Parliament?
Q. India is one of the largest producers of manganese ore in the world along with
Q. Global warming is expected to result in :
Q. Who defined investment as the construction of a new capital asset like machinery or factory building?

Chapters

Assam Direct Recruitment Test Series

Teacher Eligibility Test

Assam Direct Recruitment Test Series