CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The area enclosed by 2|x| + 3|y| 6 is


A

3 sq units

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

4 sq units

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

12 sq unit

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

24 sq units

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

12 sq unit


The given inequality is equivalent to the following system of inequalities.
2x + 3y 6, when x 0, y 0
2x - 3y 6, when x 0, y 0
- 2x + 3y 6, when x 0, y 0
- 2x - 3y 6, when x 0, y 0
Combining these inequalities represents a rhombus with sides 2x±3y=6 and 2x±3y=6

Length of the diagonals is 6 nd 4 units along x - axis and y - axis
The required area =12×6×4=12 sq units


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon