13. The graph of 9x2 – 54x + 4y2 + 16y + 61 = 0 is
|
A.a circle with radius 6 |
B.a hyperbola centered at (2,3) |
C. a hyperbola centered at (3,-2) |
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D.an ellipse centered at (2,3) |
E. an ellipse centered at (3,-2) |
Solution: The answer is E
Use completing the square method, to rewrite the given equation, as follows:
Which can now be recognized as the equation of an ellipse centered at (3,-2).