Question

The area of the region bounded by the parabolas 4x² = 25y and 5y² = 16x is ______

Options

• 4 sq. units

• 2 sq. units

• `8/3` sq. units

• `20/3` sq. units

Answer 1

The area of the region bounded by the parabolas 4x² = 25y and 5y² = 16x is `underline(20/3 "sq. units")`.

Explanation:

The area of the region bounded by y² = 4ax and x² = 4by is `(16ab)/3` sq. units.

Given parabolas are y² = `16/5x` and `x^2 = 25/4y`

Here, `a = 4/5, b = 25/16`

∴ Required area = `16/3 xx 4/5 xx 25/16 = 20/3` sq. units.