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Area between x=g(y) and y Axis

The area boun...

Question

The area bounded by the parabola $y^{2} = 4 x$ and its latusrectum is:

\frac{8}{3}

sq. units

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\frac{3}{8}

sq. units

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12 sq. units

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\frac{1}{3}

sq. units

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Solution

The correct option is A $\frac{8}{3}$ sq. units
Area bounded= $2 1 \int 0 2 \sqrt{x} d x$
Area bounded= $2 (2 \times \frac{2}{3}) = 2 (4 / 3) = 8 / 3$

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