NCERT Solutions for class 12 Maths | Chapter 8 - Application of Integrals
Questions
1
Area of the region bounded by the curve y = cos x between x = 0 and x = π is
Answer:2 sq. units
2
The area of the region bounded by the circle x² + y² = 1 is
Answer:7π sq. units
⭐ Make GKSeries Your Preferred Source on Google
Add GKSeries as Preferred Source
3
The area bounded by the lines y = |x| – 1 and y = -|x| + 1 is
Answer:2 sq. unit
5
Area bounded between the parabola y² = 4ax and its latus rectum is
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
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
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
Answer:6 sq. units
9
TArea bounded by the lines y = |x| – 2 and y = 1 – |x – 1| is equal to
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
Answer:1 sq. unit
1 is
13
The area of the region bounded by the curve x² = 4y and the straight line x = 4y – 2 is
Answer:9/8 sq. units
is
15
The area of the region bounded by the and the lines x = 2 and x = 3
Answer:7/2 sq. unit
16
The area of the region bounded by parabola y² = x and the straight line 2y = x is
Answer:4/3 sq. unit
17
The area of the region bounded by the curve y =
and x-axis is
and x-axis is
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
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
Answer:12 sq. units
20
Tne area bounded by the curve y = x² – 1 and the straight line x + y = 3 is
Answer:17√17/6 sq. units
Chapters
