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Vectors and Its Types

If c >0 and t...

Question

If $c > 0$ and the area of the region enclosed by the parabolas $y = x^{2} - c^{2}$ and $y = c^{2} - x^{2}$ is 576, then c =

A

6

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B

4

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C

3

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D

8

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Solution

The correct option is A 6
Area between the two parabola = $4 \int_{0}^{c} (c^{2} - x^{2}) d x = \frac{8 c^{3}}{3} = 576$ only if c = 6

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