wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The area (in sq. units) of the region {(x,y):x0,x+y3,x24y and y1+x} is.

A
5912
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
32
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
73
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
52
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 52
C1:x0
C2:x+y3
C3:x24y
C4:y1+x

Solving these curves, we get their intersection points as shown in the figure.
Now, we have to find the area of the shaded region, which is formed using the constraint.
Area=10(1+x) dx+21(3x) dx20(x2) dx
Area=[x+23x3/2]10+[3xx2]31[x33]20=52

661807_626898_ans_4b8cb3a8315747659851854d37a6f0d7.png

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Area under the Curve
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon