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Find the angle at which the circles x² + y² + x + y = 0 and x² + y² + x − y = 0 ir If the circles x² + y² + 2a'x + 2b'y + c' = 0 and 2x² + 2y² + 2ax + 2ay + c = 0 inte c' orthogonally thon prove that aa' I hh'

Find the angle at which the circles x² + y² + x + y = 0 and x² + y² + x − y = 0 ir If the circles x² + y² + 2a'x + 2b'y + c' = 0 and 2x² + 2y² + 2ax + 2ay + c = 0 inte c' orthogonally thon prove that aa' I hh'

Advanced Engineering Mathematics
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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Find the angle at which the circles x\power{2}+y\power{2}+x+y=0 and x\power{2}+y\power{2}+x-y=0 intersect.

If the circles x\power{2}+y\power{2}+2a'x+2b'y+c'=0 and 2x\power{2}+2y\power{2}+2ax+2ay+c=0 intersect 
orthogonally,then prove that aa'+bb'=c+\frac{c'|2}.

Find the angle at which the circles x² + y² + x + y = 0 and x² + y² + x − y = 0 intersect. If the circles x² + y² + 2a'x + 2b'y + c' orthogonally, then prove that aa'+bb' = c + 0 and 2x² + 2y² + 2ax + 2ay + c = 0 intersect c' 2
Transcribed Image Text:Find the angle at which the circles x² + y² + x + y = 0 and x² + y² + x − y = 0 intersect. If the circles x² + y² + 2a'x + 2b'y + c' orthogonally, then prove that aa'+bb' = c + 0 and 2x² + 2y² + 2ax + 2ay + c = 0 intersect c' 2
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