NCERT Solutions for class 12 Maths | Chapter 8 - Application of Integrals
Questions
1
The area of the region bounded by the curve y=
and x-axis is
and x-axis is
Answer:2π sq. units
1 is
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3
Area of triangle whose two vertices formed from the x-axis and line y = 3 – |x| is,
Answer:None of these
4
The area bounded by the line y = 2x – 2, y = -x and x-axis is given by
Answer:None of these
5
Area bounded by the curve y = cos x between x = 0 and x = 3π/2 is
Answer:3 sq. units
6
Find the area enclosed by parabola y2 = x and the line y + x = 2 and the x-axis.
Answer:7/6 sq. units
7
Area bounded by the curve y2 = 16x and line y = mx is 2/3 then m is equal to
Answer:4
8
The area bounded by the curve x = 3y2 – 9 and the line x = 0, y = 0 and y = 1 is
Answer:8 sq. units
9
The area bounded by the curve y2 = x, line y = 4 and y-axis is
Answer:64/3 sq. units
10
Area of the smaller region bounded by x2 + y2 = 9 and the line x = 1 is
Answer:(9sec-1 3 – √8) sq. units
11
Area of the region bounded by the curve y = x2 and the line y = 4 is
Answer:32/3 sq. units
12
The area bounded by the lines y = |x – 2|, x = 1, x = 3 and the x-axis is
Answer:2 sq. units
14
The area included between curves y = x2 – 3x + 2 and y = -x2 + 3x – 2 is
Answer:1/3 sq. units
15
The area bounded by the curves y = sin x, y = cos x and x = 0 is
Answer:(√2 – 1) sq. units
16
The area bounded by the curves x2 + y2 = 9 and y2 = 8x is
A
0 sq. units
B
sq. units
sq. unitsC
16π sq. units
D
None of these
Answer:
17
The area enclosed between the curve y2 = 4x and the line y = x is
Answer:8/3 sq. units
18
The area of the region R = ((x, y) : |x| ≤ |y| and x2 + y2 ≤ 1) is
Answer:π/2 sq. units
19
The area bounded by the curve y = x2 – 1 and the straight line x + y = 3 is
Answer:17√17/6 sq. units
is
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