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Find the equation of the ellipse with fo...

Find the equation of the ellipse with focus at (1,-1) e=`2/3` and directrix as `x+y+2=0`.

Text Solution

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The correct Answer is:
`7x^2-4xy+7y^2-26x+10y+10=0`
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(i) Find the equation of the ellipse whose focus (-1,1)’e = 1/2 and directrix is x - y + 3 = 0 (ii) Find the equation of the ellipse with focus at (l,-l),e = 2 //3 and directrix as x + y + 2 = 0 .

Find the equation of the ellipse whose focus (-1,1) e=1/2 and directrix is x-y+3=0

Knowledge Check

  • The equations of the parabola with focus (0,0) and directrix x+y=4, is

    A
    `x^(2)+y^(2)-2xy+8x+8y-16=0`
    B
    `x^(2)+y^(2)-2xy+8x+8y=0`
    C
    `x^(2)+y^(2)+8x+8y-16=0`
    D
    `x^(2)-y^(2)+8x+8y-16=0`

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