RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 21. Areas of Bounded Regions

Subject: Maths - Class 12th

Q. No. 24 of MCQ

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The area bounded by the curve y2 = 8x and x2 = 8y is

This problem is similar to Problem 2. So we’ll solve it in a similar way.

At points of intersection,

y2 = 8x

(from the other equation)

Let us solve this.

x4 = 512x

x(x3 – 512) = 0

x = 0 or x3 = 512, i.e, x = 8

So the points of intersection are (0,0) and (8,8)

Now, let’s compute the area.

If we integrate w.r.t x, we’ll have to integrate the space between the two curves from x = 0 to x = 8.



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