ellipse at (2, 1)_

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 51E
Question
1. The curve described by x² + 2xy + 4y²
=
12 is an ellipse.
(a) Verify that the point (2, 1) lies on the ellipse.
(b) Find an equation for the line tangent to the ellipse at (2,1).
Transcribed Image Text:1. The curve described by x² + 2xy + 4y² = 12 is an ellipse. (a) Verify that the point (2, 1) lies on the ellipse. (b) Find an equation for the line tangent to the ellipse at (2,1).
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

a.

point ( 2 , 1 )

x = 2 , y = 1

Calculus homework question answer, step 1, image 2

Therefore point is on ellipse

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