wiz-icon
MyQuestionIcon
MyQuestionIcon
292
You visited us 292 times! Enjoying our articles? Unlock Full Access!
Question

The area of the region bounded by parabola y2 = x and θ the straight line 2y = x is
(a) 43sq. units (b) 1 sq. units (c) 23sq. units (d) 13sq. units

Open in App
Solution

To find: area of the region bounded by parabola y2 = x and the straight line 2y = x

y2 = x ..(1)
2y = x ..(2)

Solving (1) and (2), we find the coordinates of the point of intersection A.
i.e., A(4, 2)



The area of the shaded region OAO = (Area of the upper curve − Area of the lower curve)
Thus,
Required area=04xdx-04x2dx =x323204-x2404 =23x3204-14x204 =23432-032-1442-02 =2323-1416 =163-4 =16-123 =43Thus, Area=43 sq. units

Hence, the correct option is (a).

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