Answer
ellipse.
Work Step by Step
Given $3x^2-xy+2y^2+3y+1=0$, we can find $A=3, B=-1, C=2$, thus $B^2-4AC=1-4(3)(2)=-23\lt0$ which mean that the conic is an ellipse.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Chapter Test - Page 720: 8
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