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Find the equation of the ellipse whose a...

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 one vertex at (4,-3)

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Find the equation of the point whose distance from the coordinate axes.in the ratio 2 : 3

Find the equation of locus of the point whose distance from the coordinate axes are in the ratio 2:3

Knowledge Check

  • The equation of the pair of lines through the point (a, b) parallel to the coordinate axes is

    A
    `(a-b)(y-a)=0`
    B
    `(x-a)(y+b)=0`
    C
    `(x-a)(y-b)=0`
    D
    `(x+a)(y-b)=0`

  • The equation of the ellipse referred to its axes as coordinate axes, which passes through the point (2, 2) and (1, 4) is

    A
    `4x^(2)+y^(2)=4`
    B
    `4x^(2)+y^(2)=16`
    C
    `4x^(2)+y^(2)=20`
    D
    `4x^(2)+y^(2)=24`

  • An equation of a line whose segment between the coordinates axes is divided by the point ((1)/(2),(1)/(3)) in the ratio 2:3 is

    A
    `6x + 9y=5`
    B
    `9x+6y=5`
    C
    `4x+9y=5`
    D
    `9x+4y=5`

    • Similar Questions

    Explore conceptually related problems

    Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2,3).

    The equation of the ellipse refered to its axes as coordinate axes, which passes through the points (2, 2) and (1, 4) is

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

    Find the equations of the lines parallel to axes and passing through (-2, 3) .

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

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