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An ellipse passes through the points (-...

An ellipse passes through the points `(-3, 1) & (2,-2)` & its principal axis are along the coordinate axes in order. Find its equation.

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Knowledge Check

  • An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

    A
    `(x^(2))/(4)+4y^(2) =1`
    B
    `(x^(2))/(8)+(y^(2))/(1)=1`
    C
    `4x^(2) +(y^(2))/(4) =1`
    D
    No such ellipse exists

  • An ellipse passes through the point (4, - 1) and its axes are along the axes of co-ordinates. If the line x + 4y - 10 = 0 is a tangent to it then its equation is

    A
    `(x^2)/100 + (y^2)/5 = 1`
    B
    `(x^2)/80 + (y^2)/(5//4) = 1`
    C
    `(x^2)/(20) + (y^2)/(5) = 1`
    D
    none of these

  • If a straight line passing through the point P(-3,4) is such that its intercepted portion between the coordinate axes is bisected a P, then its equation is

    A
    x-y+7=0
    B
    3x-4y+25=0
    C
    4x+3y=0
    D
    4x-3y+24=0

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    Find the equation of the circle which passes through the points (5,-8),(2,-9) and (2,1). Find also the coordinates of its centre and radius.

    If a straight line passing through the point P(-3,4) is such that its intercepted portion between the coordinate axes is bisected at P , then its equation is

    An ellipse passes through the point (4,-1) and touches the line x + 4y - 10 = 0 . If its axes coincide with co-ordinate axes , then its equation is

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