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Parabolas, ellipses, and hyperbolas, oh my! Learn about this eccentric bunch of shapes.
What is the equation of the circle passing through the points \((0,0)\) and \((6,12)\) with center on the line \(y=x+3?\)
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What is the equation of the circle which passes through the two points \((-3,0)\) and \((7,4)\) and is centered at a point on the \(y\)-axis?
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If \((-2, -6)\) and \((8, 8)\) are two endpoints of a diameter of a circle, what is the equation of the circle?
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What is the equation of the circle tangent to the \(x\)-axis with center \((5,-1)\)?
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If the circle \[x^2+y^2-8x+2y +1=0\]
has center \((a,b)\) and radius \(r,\) what is the value of \(a+b+r ?\)
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