(C) The equation of the ellipse is given by $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$,where $a^2 = 16$ and $b^2 = 9$.This implies $a = 4$ and $b = 3$.Th

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(C) The equation of the ellipse is given by $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$,where $a^2 = 16$ and $b^2 = 9$.This implies $a = 4$ and $b = 3$.The formula for the area enclosed by an ellipse is $A = \pi ab$.Substituting the values of $a$ and $b$,we get $A = \pi \times 4 \times 3 = 12 \pi$.Therefore,the correct option is $C$.

Class 12 Mathematics Application of Integration Area bounded by region of single curve

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Area enclosed by the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ is . . . . . . .

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A
$144 \pi$
B
$12$
C
$12 \pi$
D
$\frac{16 \pi}{9}$

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Application of Integration

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Area bounded by region of single curve

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Area enclosed by the ellipse $\frac{x^2}{16} + \frac{y^2}{9} = 1$ is . . . . . . .

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