Answer:
b. circle;

Explanation:
The given conic has equation;

We complete the square to obtain;

This is a circle with center;

This implies that;

When the circle is rotated through an angle of
,
The new center is obtained using;
and

We plug in the given angle with x and y values to get;
and

This gives us;

The equation of the rotated circle is;

Expand;

Multiply through by 4; to get

Write in general form;

Divide through by 2.
