 ## Book: RD Sharma - Mathematics (Volume 2)

### Chapter: 21. Areas of Bounded Regions

#### Subject: Maths - Class 12th

##### Q. No. 35 of Exercise 21.3

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

35
##### Find the area of the region bounded by y – |x – 1| and y = 1.

To find are bounded by

Y = |x – 1|

y = 1 y = x – 1

or, 1 = x – 1

or, x – 2 = 0

or, x = 2

C(2,1) is point of intersection of y = x – 1 and y = 1.

y = 1 – x

1 = 1 – x

X = 0

A(0,1) is point of intersection of y = 1 – x and y = 1.

Points of intersection are A (0, 1) and C(2,1)

These are shown in the graph below: - Required area = Region ABCA

= Region ABDA + Region BCDB      = 1 sq. units

The area of the region bounded by y = |x – 1| and y = 1 is 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52

## Students Store ##### Stationery Store ##### Lunch Boxes ##### Hair Accessories ##### Sippers & Bottles 