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If the two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8 x+2 y+8=0 intersect in two distinct point, then

Options

  1. Ar>2
  2. B2 < r < 8
  3. Cr < 2
  4. Dr =2

Correct answer

B. 2 < r < 8

Step-by-step solution

|r₁-r₂ |=C₁ C₂ for intersection r -3 and r ₁+ r ₂> C ₁ C ₂, r +3>5 r =2 From (1) and (2), 2 < r < 8 .

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