If radii (one to each circle) drawn from one of the point of is the angle between the two intersection of two circles x² + y² = aª and (x − c)² + y² = b², then prove that the length of the common chord of the two 2absin 0 62 circles is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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15
Illustration 4.80 If 0 is the angle between the two
radii (one to each circle) drawn from one of the point of
intersection of two circles x² + y² = ² and (x − c)² + y² = b²,
then prove that the length of the common chord of the two
2absin 0
circles is
√²+6²-2abcose
Transcribed Image Text:15 Illustration 4.80 If 0 is the angle between the two radii (one to each circle) drawn from one of the point of intersection of two circles x² + y² = ² and (x − c)² + y² = b², then prove that the length of the common chord of the two 2absin 0 circles is √²+6²-2abcose
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