RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 21. Areas of Bounded Regions

Subject: Maths - Class 12th

Q. No. 4 of Exercise 21.2

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Find the area of the region bounded by x2 + 16y = 0 and its latus rectum.

This is a simple problem of the area under the two curves.

Step 1: Find the latus rectum and its intersection points with the parabola.

As following the above questions procedure:

We find the equation of latus rectum as

And the intersection points:

Step 2: Integrating the expression to find the area enclosed by the curves.

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