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Textbook Expert
Textbook ExpertVerified Tutor
30 Nov 2021

Given information

The equation of ellipse 

 

Where

To find: The equation of the set of all points from the curve of slopes reciprocal.

Step-by-step explanation

Step 1.

A tangent line to the ellipse

The line intersect exactly one point on the ellipse the discriminant of the equation is zero 

The standard form of ellipse equation 

A tangent line to the ellipse

The line intersect exactly one point on the ellipse

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