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    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.

    © BrainMass Inc. brainmass.com October 9, 2019, 4:03 pm ad1c9bdddf
    https://brainmass.com/math/analytic-geometry/analytical-geometry-locus-vertex-21189

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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 ...

    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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