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The area included between the parabolas y2 = 5x and x2 = 5y is ______.

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Question

The area included between the parabolas y2 = 5x and x2 = 5y is ______.

Options

  • `25/3` sq units

  • 25 sq units

  • `25/4` sq units

  • `25/7` sq units

MCQ
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Solution

The area included between the parabolas y2 = 5x and x2 = 5y is `25/3` sq units.

Explanation:

We know that, area included between x2 = ay and y2 = ax is `"a"^2/3` sq units

∴ Area included between `x^2 = 5y and y^2 = 5x` is `(5)^2/3`

`= 25/3` sq units.

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