Q. 54.2( 41 Votes )

Answer :

It is given that equation of ellipse is

We can see that the ellipse is symmetrical about x – axis and y –axis.

∴ Area bounded by ellipse = 4 × Area of OAB

Area of ABCD =

Therefore, the required area bounded by the ellipse = 4 × = 6π units.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

RELATED QUESTIONS :

Using integration, find the area of the triangle whose vertices are A(1,3), B(2,5) and C(3,4).

RS Aggarwal - MathematicsUsing integration, find the area of the triangle whose vertices are A(2,3), B(4,7) and C(6,2).

RS Aggarwal - MathematicsFind the area of the region bounded by the curve y= and the line y=x.

RS Aggarwal - MathematicsThe area bounded by the curves y = sin x between the ordinates x = 0, x = π and the x-axis is

RD Sharma - Volume 2Using integration, find the area of the region: {(x, y): 0 ≤ 2y ≤ x^{2} , 0 ≤ y ≤ x, 0 < x < 3}.

Find the area of the region bounded by x^{2} + 16y = 0 and its latus rectum.

Find the area of a minor segment of the circle x^{2} + y^{2} = a^{2} cut off by the line .

Using integration, find the area of the region bounded by the following curves, after making a rough sketch: y = 1 + |x + 1|, x = -3, x = 3, y = 0.

Mathematics - Important Questions