Prove that at (x, y, z) the point of intersection of three confocals +² y² and + b- + -x-² a² + H he osculating plane of the curve = 1 + 1,² z² + 6² +μ c² +μ = 1, Σ a² + 2 a² + 2) + of intersection of the first two is given by ¸x x¡₁ (a² + µ) a² = 1 + b² +2 c²² +2 = 1
Prove that at (x, y, z) the point of intersection of three confocals +² y² and + b- + -x-² a² + H he osculating plane of the curve = 1 + 1,² z² + 6² +μ c² +μ = 1, Σ a² + 2 a² + 2) + of intersection of the first two is given by ¸x x¡₁ (a² + µ) a² = 1 + b² +2 c²² +2 = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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![and
Prove that at (x, y, z) the point of intersection of three confocals
+
ܐܐ ܐ
+ = 1
6² (²
-+-²
1²
z²
+
+
a² +μ b²+μ c.²
+P
Σ
= 1,
x²
7,²
+
+
a² + b² +^ c²² +2
2
the osculating plane of the curve of intersection of the first two is given by
2
· μ)
xx₁₂(a² +
a² (a² + ^)
= 1
= 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff35c539-ebee-47c9-96af-bc3d1830de8b%2Fac5233ca-4ca8-4bb2-b27d-66dd45ea3149%2Fg8xh49_processed.jpeg&w=3840&q=75)
Transcribed Image Text:and
Prove that at (x, y, z) the point of intersection of three confocals
+
ܐܐ ܐ
+ = 1
6² (²
-+-²
1²
z²
+
+
a² +μ b²+μ c.²
+P
Σ
= 1,
x²
7,²
+
+
a² + b² +^ c²² +2
2
the osculating plane of the curve of intersection of the first two is given by
2
· μ)
xx₁₂(a² +
a² (a² + ^)
= 1
= 1
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