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7 November, 08:17

Prove or disprove that the circle with equation x^2-4x+y^2=-3 intersects the y axis

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  1. 7 November, 11:10
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    The general equation given is x^2 - 4x + y^2 = - 3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.

    Use completing the square method:

    x^2 - 4x + 4 + y^2 = - 3 + 4

    (x - 2) ^2 + y^2 = 1

    the center of the circle is (2,0) and r = 1

    To check if it intersects the y axis, find the value of the x-intercept.
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