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Focus (4, 0), e = 1/2 , directrix is x -...

Focus (4, 0), e =` 1/2` , directrix is x -16 = 0. Then equation of the ellipse is

A

`(x^(2))/(16)+(y^(2))/(9)=1`

B

`(x^(2))/(64)+(y^(2))/(32)=1`

C

`(x^(2))/(64)+(y^(2))/(48)=1`

D

`(x^(48))/(16)+(y^(2))/(64)=1`

Text Solution

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The correct Answer is:
C
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  • Focus (3, 0), e = 3/5 , d irectrix 3x-25= 0, equation of the ellipse is

    A
    `(x^(2))/(16)+(y^(2))/(25)=1`
    B
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    A
    `5x^(2)+2xy+5y^(2)+10-10y+5=0`
    B
    `7x^(2)+2xy+7y^(2)+10x-10y+7=0`
    C
    `3x^(2)+2xy+3y^(2)+5x-5y+5=0`
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