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49.Identify the following implicitly defined equation as having a graph that is a circle, a parabola, an ellipse, or a hyperbola. Give a reason of your answer based on the equation in the general form. 3x? + 9y² – 6x – 7y – 8 = 0 A. Ellipse; the coefficients of the x² and y² terms are different positive integers. B. Circle; the coefficients of the x² and y² terms are the same positive integers. C. Hyperbola; the coefficients of the x² and y² terms have opposite signs. D. Parabola; the coefficients of the x² and y² terms are both positive.

49.Identify the following implicitly defined equation as having a graph that is a circle, a parabola, an ellipse, or a hyperbola. Give a reason of your answer based on the equation in the general form. 3x? + 9y² – 6x – 7y – 8 = 0 A. Ellipse; the coefficients of the x² and y² terms are different positive integers. B. Circle; the coefficients of the x² and y² terms are the same positive integers. C. Hyperbola; the coefficients of the x² and y² terms have opposite signs. D. Parabola; the coefficients of the x² and y² terms are both positive.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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49.Identify the following implicitly defined equation as having a graph that is a circle, a parabola, an ellipse, or a hyperbola. Give a reason of your answer based on the equation in the general form. Зx2 + 9y2 — 6х — 7у —8 %3D 0 A. Ellipse; the coefficients of the x² and y² terms are different positive integers. B. Circle; the coefficients of the x² and y² terms are the same positive integers. C. Hyperbola; the coefficients of the x² and y² terms have opposite signs. D. Parabola; the coefficients of the x² and y² terms are both positive.
Transcribed Image Text:49.Identify the following implicitly defined equation as having a graph that is a circle, a parabola, an ellipse, or a hyperbola. Give a reason of your answer based on the equation in the general form. Зx2 + 9y2 — 6х — 7у —8 %3D 0 A. Ellipse; the coefficients of the x² and y² terms are different positive integers. B. Circle; the coefficients of the x² and y² terms are the same positive integers. C. Hyperbola; the coefficients of the x² and y² terms have opposite signs. D. Parabola; the coefficients of the x² and y² terms are both positive.
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