3. Suppose we have Conic described by 2nd-degree equation in the plane : 9y2 + 4x2 = 16 a. Find the Conic representation in projective plane P2 b. Calculate its tangent line at (0,4) in the projective plane and verify the result by comparing it to its Euclidean representation! c. Find and compare the answer with the classical approach through Calculus in Cartesian coordinate
3. Suppose we have Conic described by 2nd-degree equation in the plane : 9y2 + 4x2 = 16 a. Find the Conic representation in projective plane P2 b. Calculate its tangent line at (0,4) in the projective plane and verify the result by comparing it to its Euclidean representation! c. Find and compare the answer with the classical approach through Calculus in Cartesian coordinate
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:3. Suppose we have Conic described by 2nd-degree equation in the plane :
9y2 + 4x?
16
a. Find the Conic representation in projective plane P2
b. Calculate its tangent line at (0,4) in the projective plane and verify the result by comparing
it to its Euclidean representation!
с.
Find and compare the answer with the classical approach through Calculus in Cartesian
coordinate
Expert Solution
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Sorry about 3b question, if the tangent line become (2,0)
b. Calculate its tangent line at (2,0) in the projective plane and verify the result by comparing it to its Euclidean representation!
What will be the different?
Solution
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