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Equation of the ellipse whose axes are t...

Equation of the ellipse whose axes are the axes of co-ordinates and which passes through the point `(-3,1)` and has eccentricity `sqrt(2//5)` is :

A

`3x^(2)+5y^(2)-32=0`

B

`5x^(2)+3y^(2)-48=0`

C

`3x^(2)+5y^(2)-15=0`

D

`5x^(2)+3y^(2)-32=0`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The eceentricity of the ellipse whose axes are the coordinate axes and which passes through the points (2,2) and (3,1) is

    A
    `(1)/(3)`
    B
    ` sqrt((2)/(3))`
    C
    ` sqrt((2)/(5))`
    D
    ` (2)/(5)`

  • Equation of the curve whose slope is (y-1)/(x^(2)+x) and which passes through the point (1,0) is

    A
    xy+x+y-1=0
    B
    xy-x-y-1=0
    C
    (y-1)(x+1) = 2x
    D
    y(x+1)-x+1 =0

  • The equation of the parabola whose vertex is (2,-1), axis is vertical and passing through the point (4,-3) is

    A
    1)`(x-2)^(2)=2(y+1)`
    B
    2)`(x+2)^(2)-2(y-1)`
    C
    3)`(x-2)^(2)=-2(y+1)`
    D
    4)`(x+2)^(2)=-2(y-1)`

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    Find the equation of the ellipse whose axes are parallel to the coordinate axes having its centre at the point (2,-3) one focus at (3,-3) and vertex at (4,-3)dot

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