Area enclosed by the curve ${\rm{\pi }}[4\left( {{\rm{x}} - \sqrt 2 {)^2} + {y^2}} \right] = 8$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Area enclosed by the curve

\mathrm{\pi }[4\left( {\mathrm{x} - \sqrt 2 {)^2} + {y^2}} \right] = 8

View answer and explanation

Correct option: D

\mathrm{4\;sq\;units\;}

Option D,

\mathrm{4\;sq\;units\;}

, is the correct area because the equation represents an ellipse, and its area is calculated using the formula

\pi ab

, where a and b are the semi-major and semi-minor axes.

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