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13 July, 06:10

A circle is defined by the equation given below.

x^2+y^2-x-2y-11/4=0

What are the coordinates for the center of the circle and the length of the radius?

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Answers (1)
  1. 13 July, 07:03
    0
    (1/2, 1)

    2

    Step-by-step explanation:

    x² + y² - x - 2y - 11/4 = 0

    x² - x + y² - 2y = 11/4

    Complete the squares.

    x² - x + 1/4 + y² - 2y + 1 = 11/4 + 1/4 + 1

    (x - 1/2) ² + (y - 1) ² = 4

    The center of the circle is (1/2, 1) and the radius of the circle is 2.
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