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  4. The area of the ellipse ( x 2/9)+( y 2/4)=1 in first quadrant is 6 π sq. units. The ellipse is rotated about its centre in anti-clockwise direction till its major axis coincides with y -axis. Now the area of the ellipse in first quadrant is π sq. units.

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Q. The area of the ellipse
$\frac{ x ^{2}}{9}+\frac{ y ^{2}}{4}=1$ in first quadrant is $6 \pi$ sq. units.
The ellipse is rotated about its centre in anti-clockwise direction till its major axis coincides with $y$ -axis. Now the area of the ellipse in first quadrant is $\pi$ sq. units.

Application of Integrals

Solution:

image
When the ellipse is rotated then its area in first quadrant still remains $6 \pi$ sq. units.