13. The graph of 9x^{2} – 54x + 4y^{2} + 16y + 61 = 0 is
A.a circle with radius 6 |
B.a hyperbola centered at (2,3) |
C. a hyperbola centered at (3,-2) |
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).