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(a)

       (b)

       (c)
In Exercises 9–14 translate and rotate the coordinate axes, if necessary, to put the conic in standard position. Name the conic
and give its equation in the final coordinate system.
9.

10.

11.

12.

13.

14.
          The graph of a quadratic equation in x and y can, in certain cases, be a point, a line, or a pair of lines. These are called

15. degenerate conics. It is also possible that the equation is not satisfied by any real values of x and y. In such cases the
          equation has no graph; it is said to represent an imaginary conic. Each of the following represents a degenerate or
          imaginary conic. Where possible, sketch the graph.

              (a)

              (b)

              (c)

              (d)
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