Home
Class 12
MATHS
Find the area of the ellipse (x^(2))/(a^...

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

Text Solution

Verified by Experts

The correct Answer is:
`piab` square units
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER JULY -2018

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER JULY -2018

    SUNSTAR PUBLICATION|Exercise PART-C|14 Videos

  • II PUC MATHEMATICS (ANNUAL EXAM QUESTIONS PAPER MARCH -2019)

    SUNSTAR PUBLICATION|Exercise PART-D|14 Videos

  • II PUC MATHEMATICS ANNUAL EXAM QUESTION PAPER MARCH - 2020

    SUNSTAR PUBLICATION|Exercise PART - E|4 Videos

Similar Questions

Explore conceptually related problems

Find the area of ellipse (x^2)/(a^2)+(y^2)/(b^2)-1, (a gtb) by the method of integration and hence find the area of the ellipse (x^2)/(16)+(y^2)/(19)=1 .

Area of the ellipse x^(2)/9+y^(2)/4=1 is

The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the end of the latus rectum in the first quadrant is

If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (altb) then

If the area of the auxillary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

Find the maximum area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 which touches the line y=3x+2.

Find the foci of the ellipse x^2/25+y^2/16=1

If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the eccentric angle of the point is