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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
20 Dec 2021

Given information

A tangent line is drawn to the hyperbola  at a point  

Step-by-step explanation

Step 1.
Let us consider given data and evaluate
 
 
 
Denote the coordinates of the point   by   In part (a) we calculated the intersections of the tangent line with the axis.

Area    regardless of The area of the triangle is half the product of the two the point   .

 

The area of the triangle is half the product of the two sides, since the axis form a right angle between them.

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