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If the equation x^2+y^2+2h x y+2gx+2fy+c...

If the equation `x^2+y^2+2h x y+2gx+2fy+c=0` represents a circle, then the condition for that circle to pass through three quadrants only but not passing through the origin is `f^2> c` (b) `g^2>2` `c >0` (d) `h=0`

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Knowledge Check

  • The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a point-circle when -

    A
    `g^(2) + f^(2) = -c`
    B
    `g^(2) - f^(2) = -c`
    C
    `g^(2) + f^(2) = c`
    D
    `f^(2) - g^(2) = c`

  • The diameter of the circle concentric to the circle x^(2) + y^(2) + 4x - 2y = 20 and passes through the origin is -

    A
    10 unit
    B
    `sqrt(20)` unit
    C
    `sqrt(5)` unit
    D
    none of these

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