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geometry

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find the equation of the circle having center on 3x+y=6 and tangent to both axes

  • geometry -

    If a circle is tangent to both axes, then its centre lies along the line
    y=x (for circle in first or third quadrant) or
    y=-x (for circle in second or fourth quadrant).

    Make your choice of quadrant(s) and solve the system of equations
    3x+y=6
    y=x

    or
    3x+y=6
    y=-x

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