Answer to Question #200474 in Analytic Geometry for tanya

Question

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

Answer 1

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.