No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
13
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
14
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
34
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is B13 The area lying between the curve, y2=4x and y=2x is represented by the shaded area OBAO as shaded in the diagram. The points of intersection of these curves are O(0,0) and A(1,2). We draw AC perpendicular to x-axis such that the coordinates of C are (1,0). ∴ Area OBAO=Area(ΔOCA)−Area(OCABO) =∫102xdx−∫102√xdx =2[x22]10−2⎡⎢
⎢
⎢
⎢⎣x3232⎤⎥
⎥
⎥
⎥⎦10 =∣∣∣1−43∣∣∣ =∣∣∣−13∣∣∣=13 sq. units Thus, the correct answer is B.