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.

Question

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. (A) 2 (B) 4 (C) 6 (D) 8

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<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/f696445238355fb3625510f6aaa97ecd-.png" /> When the ellipse is rotated then its area in first quadrant still remains 6 π sq. units.

Q. The area of the ellipse
$\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ 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.

2

4

6

8

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

Q. The area of the ellipse 9x2​+4y2​=1 in first quadrant is 6π 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.

2

4

6

8

When the ellipse is rotated then its area in first quadrant still remains 6π sq. units.

Q. The area of the ellipse
$\frac{x ^{2}}{9} + \frac{y ^{2}}{4} = 1$ 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.

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