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Math Help - conic and circle

  1. #1
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    conic and circle

    Show that the equation 33y^2+31x^2+131=8x-2x^2-132y
    represents a circle by rearranging it into the centre-radius form of the equation of a circle. State the coordinates of the centre and the radius of the circle.

    Can someone kindly write step by step? Thank you so much!!
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  2. #2
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    Quote Originally Posted by inhae772 View Post
    Show that the equation 33y^2+31x^2+131=8x-2x^2-132y
    represents a circle by rearranging it into the centre-radius form of the equation of a circle. State the coordinates of the centre and the radius of the circle.

    Can someone kindly write step by step? Thank you so much!!
    The coefficients of y^2 and x^2 are not equal. Therefore the equation does not define a circle, it defines an ellipse. Are the coefficients meant to be unequal?
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