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The two circles x^2+y^2=a x and x^2+y^2=c^2(c>0) touch each other if

Options

  1. A|a|=c
  2. Ba=2 c
  3. C|a|=2 c
  4. D2|a|=c

Correct answer

A. |a|=c

Step-by-step solution

c ₁= ( a 2 , 0 ) ; c ₂=(0,0) r ₁= a 2 ; r ₂= c c ₁ c ₂= r ₁- r ₂ a 2 = c - a 2 c = a

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