Home
Class 12
MATHS
The area enclosed by the ellipse (x^(2))...

The area enclosed by the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` is equal to

A

`pi^(2)`ab sq.units

B

`pi a^(2) b`sq.units

C

`pi ab` sq.units

D

`pi ab^(2)` sq.units

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (ASSIGNMENT )|2 Videos
  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (PROJECT )|1 Videos
  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise UNIT TEST|5 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

Similar Questions

Explore conceptually related problems

(1) Draw the rough sketch of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 . Find the area enclosed by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 .

Find the area bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the lines x = 0 and x = ae where b^(2) = a^(2)(1 - e^(2)) and e lt 1 .

Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the line (x)/(a) + (y)/(b) = 1 .

AB and CD are two equal and parallel chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) =1 . Tangents to the ellipse at A and B intersect at P and tangents at C and D at Q. The line PQ

Sum of the focal distance of the ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 is

Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) + y^(2)/b^(2) =1 is

Find the area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 .

Volume of solid obtained by revolving the area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 about major and minor axes are in tha ratio……