Position analysis of Elliptical Trammel

Which point of the rotating link in elliptical trammel traces a circular path?
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The length of rotating link in elliptical trammel is equal to ?
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End point of rotating link of elliptical trammel travels in a straight line
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A point on the line obtained by extending the rotating link of elliptical trammel also traces an ellipse
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Ellipse traced by an elliptical trammel has major axis 180mm and minor axis 100mm, what is the diameter of the circle that can be drawn without changing the link lengths of the mechanism
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