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Parabolas, ellipses, and hyperbolas, oh my! Learn about this eccentric bunch of shapes.
If \(A\) and \(B\) are nonzero real numbers, what is the condition on \(A\) and \(B\) such that the equation \[ \frac{x^2}{A^2}+\frac{y^2}{B^2} = 1\] represents an ellipse that is not a circle?
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What is the equation of the line passing through the intersection points of the following two curves: \[ {x}^2+{y}^2-6x-6y+17 = 0 , {x}^2+{y}^2-10x-15y+49= 0?\]
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What is the area of the set of points in the bounded region \[ {x}^2 + {y}^2 -8x -8y +28 \leq 0 ?\]
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If \(5{x}^2+a{y}^2+4x+5y+18=0 \) is an equation that represents a circle, what is the value of \(a ?\)
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Which of the following equations represents a different type of conic section than the others?
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