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Use the Principal Axes Theorem to Perform a Rotation of Axes

Question 32

Multiple Choice

Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation   . Identify the resulting rotated conic and give its equation in the new coordinate system. A)  Ellipse;   B)  Hyperbola;   C)  Ellipse;   D)  Hyperbola;   E)  Ellipse;  . Identify the resulting rotated conic and give its equation in the new coordinate system.


A) Ellipse; Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation   . Identify the resulting rotated conic and give its equation in the new coordinate system. A)  Ellipse;   B)  Hyperbola;   C)  Ellipse;   D)  Hyperbola;   E)  Ellipse;
B) Hyperbola; Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation   . Identify the resulting rotated conic and give its equation in the new coordinate system. A)  Ellipse;   B)  Hyperbola;   C)  Ellipse;   D)  Hyperbola;   E)  Ellipse;
C) Ellipse; Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation   . Identify the resulting rotated conic and give its equation in the new coordinate system. A)  Ellipse;   B)  Hyperbola;   C)  Ellipse;   D)  Hyperbola;   E)  Ellipse;
D) Hyperbola; Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation   . Identify the resulting rotated conic and give its equation in the new coordinate system. A)  Ellipse;   B)  Hyperbola;   C)  Ellipse;   D)  Hyperbola;   E)  Ellipse;
E) Ellipse; Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation   . Identify the resulting rotated conic and give its equation in the new coordinate system. A)  Ellipse;   B)  Hyperbola;   C)  Ellipse;   D)  Hyperbola;   E)  Ellipse;

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