Finding locus of vertex


Assignment:

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.

232_Analytical.JPG

Q1. Find the locus of vertex B.
Q2. Describe the geometrical shape that is described by the equation you found in part 1, and find its intersection points with the axis.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Finding locus of vertex
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