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16 May, 00:10

What is the y coordinate of the center of the circle for the following equation? X squared plus y squared minus 10y plus 18x = 2

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  1. 16 May, 00:24
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    Center of the circle is (-9, - 7)

    Radius of the circle = 5 units

    Given question is incomplete: here is the complete question.

    Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

    What is the center of this circle?

    What is the radius of this circle?

    Since equation of the circle has been given by the equation,

    x² + y² + 18x + 14y + 105 = 0

    Now we will convert this equation to the standard form of the circle.

    x² + 18x + y² + 14y = - 105

    [x² + 2 (9) x] + [y² + 2 (7) x] = - 105

    [x² + 2 (9) x + 9²] + [y² + 2 (7) y + 7²] = 9² + 7² - 105

    (x + 9) ² + (y + 7) ² = 81 + 49 - 105

    (x + 9) ² + (y + 7) ² = 25

    (x + 9) ² + (y + 7) ² = 5²

    By comparing this equation with the standard equation of the circle → (x - h) ² + (y - k) ² = r²

    Center of the circle is (-9, - 7) and radius of the circle is 5 units.
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