a.Find the equation of the circle having center at (2,3) and which touches x+y=1.   b.If x\power{2}+y\power{2}-2x+2ay+a+3=0 represents the real circle with nonzero radius,then find the values of a. c. Find the image of the circle  x\power{2}+y\power{2}-2x+4y-4=0 in the line 2x-3y+5=0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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 a.Find the equation of the circle having center at (2,3) and which touches x+y=1.
 
b.If x\power{2}+y\power{2}-2x+2ay+a+3=0 represents the real circle with nonzero radius,then find the
values of a.

c. Find the image of the circle  x\power{2}+y\power{2}-2x+4y-4=0 in the line 2x-3y+5=0.

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