Question

Asked Nov 23, 2019

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For each equation, decide which type of conic section each equation represents (parabola, ellipse, hyperbola, circle). If it is none of them, state that as well. You must show work for this and/or explain how you can identify each equation.

Step 1

To identify the type of conic section observe the given equation,

Circle: Both x^{2} and y^{2} is present and their coefficients must be same including the sign.

Parabola: Any one of x^{2} or y^{2} is present not both.

Ellipse: Both x^{2} and y^{2} is present and their coefficients must be different and positive

Hyperbola: Both x^{2} and y^{2} is present and one of them has positive coefficient and other one has negative coefficient.

Step 2

Observe the given equation,

Step 3

Here, both x2 and y2 is present.

Coefficient of x2h is 9( positive) and coefficient of y2 is -...

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