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Which axis the points such as (0,x) (0,y...

Which axis the points such as (0,x) (0,y) (0,2) and (0,-5) lie on? Why?

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Knowledge Check

  • The range of theta in (0, pi) such that the point (3, 5) and (sin theta, cos theta) lie on the same side of the line x+y-1=0 is

    A
    `(0, pi//4)`
    B
    `(0, pi//2)`
    C
    `(pi//4, 3pi//4)`
    D
    `(pi//2, 3pi//4)`

  • Number of points with integral coordinates which lie inside the triangle formed by (0,21), (21,0) and (0,0) is

    A
    `sum19`
    B
    `sum20`
    C
    `sum21`
    D
    `sum22`

  • The circle passing through the points (2, 3), (0, 0) and intersecting x^2+y^2+3x+5y-9=0 orthogonally is

    A
    `x^2+y^2-3x-11y=0`
    B
    `x^2+y^2+11x-3y=0`
    C
    `x^2+y^2+3x+11y=0`
    D
    `x^2+y^2-11x+3y=0`

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    Find the equation of the circle which passes through the point (2,0), (0,2) and orthogonally to the circle 2x^2 + 2y^2 + 5x - 6y + 4 = 0 .

    If the ends of major axis of an ellipse are (5,0) and (-5,0). Find the equation of the ellipse in the standard form if its focus lie on the line 3x-5y-9=0.

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    Equation of the circle touching the y-axis at (0,sqrt3) and cuts the x-axis in the points (-1,0) and (-3,0) is

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