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If length of the major axis is 8 and e =...

If length of the major axis is 8 and e = `1/sqrt(2)`Axes are co-ordinate axes then equation of the ellipse is

A

`(x^(2))/(12)+(y^(2))/(4)=1`

B

`(x^(2))/(16)+(y^(2))/(8)=1`

C

`(x^(2))/(24)+(y^(2))/(16)=1`

D

`(x^(2))/(32)+(y^(2))/(24)=1`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Latus Rectum is 4 and e=(1)/sqrt(2) axes are co­ordinate axes, eq. of the ellipse

    A
    `(x^(2))/(4)+(y^(2))/(8)=1`
    B
    `(x^(2))/(16)+(y^(2))/(12)=1`
    C
    `(x^(2))/(16)+(y^(2))/(8)=1`
    D
    `(x^(2))/(16)+(y^(2))/(4)=1`

  • Axes are co-ordinate axes, the ellipse passes through the points where the straight line (x)/(4)+(y)/(3)=1 meets the cood axes. Then equation of the ellipse is

    A
    `(x^(2))/(16)+(y^(2))/(9)=1`
    B
    `(x^(2))/(64)+(y^(2))/(36)=1`
    C
    `(x^(2))/(4)+(y^(2))/(3)=1`
    D
    `(x^(2))/(8)+(y^(2))/(6)=1`

  • If the length of the major axis is n times the minor axis of the ellipse, then ecccentricity is

    A
    `sqrt(n-1)/(n)`
    B
    `sqrt(n-1)/(n)^(2)`
    C
    `sqrt(n^(2)-1)/(n^(2))`
    D
    `sqrt(n^(2)-1)/(n)`

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