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12 December, 10:25

the equation of circle A is x^2+y^2+Cx+Dy+E=0. if the circle is moved horizontally to the left of the y axis without changing the radius how are the coefficients C and D affected

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  1. 12 December, 12:50
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    When the circle A moves horizontally to left of y-axis, it changes the value of C in the equation.

    Step-by-step explanation:

    Given is the equation of a circle A as follows:-

    x^2+y^2+Cx+Dy+E=0

    We see the coefficients of x^2 and y^2 terms are 1 each. It means we can find the center of the circle from the equation itself as follows:-

    Coordinates of center of circle A: (-C/2, - D/2)

    When they move the circle horizontally to the left of the y-axis, without changing its radius, the x-coordinate of the center (i. e. - c/2) in the circle A will change accordingly. And y-coordinate remains unchanged.

    So when we move the circle horizontally to the left of y-axis, it changes the value of C in the equation of circle.
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