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Find the equation to the ellipse whose o...

Find the equation to the ellipse whose one vertex is (3,1), the nearer focus is (1, 1) and eccentricity is 2/3.

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

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Knowledge Check

  • The equation of the ellipse whose focus is (1, - 1), the directrix x - y - 3 = 0and eccentricity 1/2, is

    A
    `7x^(2)+2xy+7y^(2)-10x+10y+7=0`
    B
    `7x^(2)+2xy+7y^(2)+7=0`
    C
    `7x^(2)+2xy+7y^(2)+10x-10y-7=0`
    D
    `7x^(2)+2xy+7y^(2)+10x-10y-7=0`

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    Find the equation of the ellipse whose focus is (1,0), the directrix is x+y+1=0 and eccentricity is equal to (1)/(sqrt(2))

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    Find the equation of the hyperbola whose one directrix is 2x+y=1 , the corresponding focus is (1, 2) and eccentricity is sqrt(3)

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