Mathematics Part-II

Book: Mathematics Part-II

Chapter: 8. Application of Integrals

Subject: Maths - Class 12th

Q. No. 6 of Miscellaneous Exercise

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6

Find the area enclosed between the parabola y2 = 4ax and the line y = mx.


We can see from the figure that the area of the region bounded by the curve y2 = 4ax and the line y = mx is shown by shaded region that is Area OABO.


The points of intersection of both the curves are (0,0) and


Now draw AC perpendicular to x – axis.


Thus,


Area of OABO = Area OCABO – Area (ΔOCA)








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