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the area bounded by the parabola y 2 8x and its la
Question:
The area bounded by the parabola
$ {{y}^{2}}=8x $
and its latus rectum in sq unit is
KEAM
Updated On:
Jun 7, 2024
$16/3 \, sq unit$
$32/3 \, sq unit$
$8/3 \, sq unit$
$64/3\, sq unit$
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The Correct Option is
B
Solution and Explanation
The given equation of parabola is
$ {{y}^{2}}=8x $
...(i)
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Concepts Used:
Area under Simple Curves
The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b > a) - given by the formula:
\[\text{Area}=\int_a^bydx=\int_a^bf(x)dx\]
The area of the region bounded by the curve x = φ (y), y-axis and the lines y = c, y = d - given by the formula:
\[\text{Area}=\int_c^dxdy=\int_c^d\phi(y)dy\]
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Area under the curve formula