1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
f(x) Transforms to Its Inverse
The area boun...
Question
The area bounded by
y
=
−
|
x
|
+
3
,
x
=
0
,
y
=
0
and
x
=
2
,
is
A
7
2
sq. units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
sq. units
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
11
2
sq. units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
6
sq. units
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
B
4
sq. units
We get
y
=
−
|
x
|
by inverting the graph
y
=
|
x
|
with respect to
x
−
axis.
For
y
=
−
|
x
|
+
3
,
we move the curve up by
3
units.
From the graph we can see that,
x
=
2
intersects
y
=
−
|
x
|
+
3
at point
(
2
,
1
)
.
∴
Required area
=
Area of trapezium
=
1
2
×
(
3
+
1
)
×
2
=
4
sq. units
Suggest Corrections
0
Similar questions
Q.
The area bounded by
y
=
−
|
x
|
+
3
,
x
=
0
,
y
=
0
and
x
=
2
,
is
Q.
Area bounded by
y
=
x
3
,
y
=
8
and
x
=
0
is ____
Q.
The area bounded by the line
y
=
|
x
−
2
|
,
|
x
|
=
3
and
y
=
0
is
Q.
The area bounded by the curve
y
=
x
2
2
bounded by
x
=
0
,
x
=
2
and
y
=
0
is:
Q.
Area bounded by
y
=
x
3
,
y
=
8
and
x
=
0
is ……..
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Explore more
f(x) Transforms to Its Inverse
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app