3. Find the vertices of the hyperbola. *-=1 3D1 25 64 O (0, 8), (0, – 8) - O (5, 0), (-5, 0) O (8, 0), (-8, 0) O (0, 5), (0, – 5) -
3. Find the vertices of the hyperbola. *-=1 3D1 25 64 O (0, 8), (0, – 8) - O (5, 0), (-5, 0) O (8, 0), (-8, 0) O (0, 5), (0, – 5) -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:23. Find the vertices of the hyperbola.
器-=
3D1
64
25
О (0, 8), (0,
—8)
О (5, 0), (-5, 0)
О (8, 0), (-8, 0)
О (0, 5), (0, - 5)
Expert Solution
Step 1
Hyperbola: A hyperbola is the set of all points (x,y) in a plane such that the difference of the distances between the foci and the point (x,y) is some positive constant
The equation of hyperbola is given as
The length between the transverse axis is 2a and the vertex is
The length of conjugate axis is 2b and the co-vertex
The co-ordinate of foci is
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