Problems:
Analytical Geometry
The equation of the circle is given as:
x2+y2=25
A parallelogram is constructed as follows:
Vertex O is at the origin, vertex A is on the circle, vertex C is on the y-axis and the diagonal AC is parallel to the x-axis.
Question:
1. Find the locus of vertex B.
2. Describe the geometrical shape that is described by the equation you found in part 1, and find its intersection points with the axis.