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8_6

8_6

Prove that the locus of points from which the two tangents to E are perpendicular is the circle .

Solution:

I first created a slider for a and b. Then I constructed a circle using the equation then I constructed the eclipse using the equation . I constructed a point on the circle and the tangent lines from the eclipse through A and the intersection of the tangent lines and c. I then constructed the angle between tangent 1, A, and tangent 2.

8_6