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Textbook Expert
Textbook ExpertVerified Tutor
30 Nov 2021

Given information

The equation of ellipse is given that is  

Step-by-step explanation

Step 1.

Let us consider that and are the tangent and normal lines to the ellipse at any point on the ellipse in the quadrant.

are the and intercepts of are the and intercepts of .

The information is shown in figure as follows:

As moves along the  ellipse in the first quadrant, we have to guess the value of , then find the exact values by direct calculation.

As moves to the point along the ellipse in the first quadrant .

As moves to the point along the ellipse in the first quadrant  

As moves to the point along the ellipse in the first quadrant  

As  moves to the point along the ellipse in the first quadrant    

To solve the problem actually, differentiate with respect to  

 

 

 

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