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NDA Math Circle

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For the next two (02) items that follow:
Consider the circles x2+y2+2ax+c=0 and x2+y2+2by+c=0

[NDA II 2014]

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Question : 26

Total: 26

The two circles touch each other if

c=√a2+b2
1
c
=
1
a2
+
1
b2
c=
1
a2
+
1
b2
c=
1
a2+b2

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