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The area bounded by the curves y^(2)=4a^...

The area bounded by the curves `y^(2)=4a^(2)(x-1)` and lines x = 1 and y = 4a is

A

`4a^(2)` sq units

B

`(16a)/(3)` sq units

C

`(16a^(2))/(3)` sq units

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
On solving `y^(2)=4a^(2)(x-1)` and y=4a, we get x = 5

`therefore` Required area `=int_(1)^(5)(4a-2asqrt(x-1))dx`
`=[4ax-2a.((x-1)^(3//2))/(3//2)]_(1)^(5)=(16a)/(3)` sq units
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-APPLICATIONS OF DEFINITE INTEGRALS -Exercise 2
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  12. The area bounded by y = |sin x|, X-axis and the line |x|=pi is

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  15. The line x = (pi)/(4) divides the area of the region bounded by y = si...

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  17. The area (in sq units) of the region bounded by the curves y = e^(x), ...

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  19. The larger of the area bounded by y = cosx, y = x + 1 and y = 0 is

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