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Find the area of the region bounded ...

Find the area of the region bounded by the ellipse ` (x^2 )/(4) + (y^2)/(9) =1.`

Text Solution

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The correct Answer is:
`(9)/(2)`
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Explore conceptually related problems

Find the area of the region bounded by the ellipse (x^2 )/(16) + (y^2)/(9) =1.

Find the area of the smaller region bounded by the ellipse (x^2 )/(9) + (y^2)/(4)=1 and the line (x)/(3) + (y )/(2) =1

Knowledge Check

  • The area of the region bounded by the ellipse (x^2 )/(25 ) +(y^2)/(16) =1 is …..

    A
    `20 pi`
    B
    `20 pi^2`
    C
    `16 pi^2`
    D
    `25 pi`

  • Area bounded by the ellipse (x^2 )/(4) +(y^2)/(16) =4 is …….

    A
    `64 pi`
    B
    `32 pi`
    C
    `8pi`
    D
    `(pi)/(64)`s

  • Area bounded by the ellipse (x^2)/( 4) + (y^2)/( 16) = 4 is …....

    A
    `64pi`
    B
    `32pi`
    C
    `8pi`
    D
    `(pi)/(64)`

    • Similar Questions

    Explore conceptually related problems

    Find the area of the region bounded by the ellipse x^(2)/16+y^(2)/9=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 .

    Find the area of the smaller region bounded by the ellipse x^(2)/9 + y^(2)/4 = 1 and the line x/3 + y/2 = 1 .

    Find the area of the region bounded by the curve y^2 = 4x and x^2 = 4y

    Find the area of the region bounded by the parabola y=x^2 and y=|x|

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