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

The area bounded by the parabola x = 4 − y2 and y-axis, in square units, is
(a) 332

(b) 323

(c) 332

(d) 163

Open in App
Solution

b 323



The points of intersection of the parabola and the y-axis are A(0, 2) and C(0, −2).
Therefore, the area of the required region ABCO,
A=-22x dy=-224-y2 dy=4y-y33-22=42-233-4-2--233=8-83--8+83=8-83+8-83=16-163=323 square units

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