Answer to Question #200474 in Analytic Geometry for tanya

Analytic Geometry

Question #200474

b) Identify and trace the conic x²−2xy+ y² −3x+ 2y+ 3 = 0.

Expert's answer

General Cartesian form of the equation is:

"Ax^2+Bxy+Cy^2+Dx+Ey+F=0"

If discriminant is equal to zero, the equation represents a parabola.

"B^2-4AC=2^2-4=0"

Therefore it is a parabola.

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