# Analytical Geometry

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The equation of the circle is given as:

x^2+y^2=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.

See attached figure

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.

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##### Solution Summary

The solution shows how to extract geometrical information using analytical equations, mainly showing how o identify a shape from its equation.

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The equation of the circle is given as:

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 ...

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