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

The area enclosed within the curve |x| + |y| = 1

A
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 2
The given lines are ±x±y=1
i.e., x + y = 1, x – y = 1, x + y = – 1 and x – y = –1
These lines form a quadrilateral whose vertices are A(–1, 0), B(0, –1), C(1, 0) and D(0, 1)
Obviously ABCD is a square.
Length of each side of this square is 12+12=2
Hence area of square is 2×2=2 sq.units.
Trick: Required area = 2c2|ab|=2×12|1×1|=2.

flag
Suggest Corrections
thumbs-up
9
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Straight Line
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon