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What type of conic section is the following equation? x2 + (y - 5)2 = 12

User Pmf
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1 Answer

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Short answer: It's a circle.
Argument
A parabola has a power of x on one side of the equal sign.

A circle (like this one) has variables raised to the second degree (x and y). The number in front of x^2 and y^2 is equal, usually 1.

An ellipse has x^2 and y^2 present, the numbers in front of x^2 is different from the number in front of y^2

hyperbola has a minus sign between the x^ and y^2. or between the y^2 and x^2

These are the main characteristics of each. They are not the only ones.
User Haja
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