Answer:
b. circle;
Step-by-step 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.
