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Most Important Selected Qs for JEE AdvancedMathematicsCircle

Paragraph: Read the following write up carefully and answer the following questions: Let each of the circles aligned & S₁=x^2+y^2+4 y-1=0 & S₂=x^2+y^2+6 x+y+8=0 & S₃=x^2+y^2-4 x-4 y-37=0 aligned touches the other two. Let P₁, P₂, P₃ be the point of contact of S₁ and S₂, S₂ and S₃, S₃ and S₁ respectively. Let T be the point of concurrence of the tangents at P₁, P₂, P₃ to the circles. C₁, C₂ , C ₃ are the centres of S

Options

  1. Ay=x
  2. By=x+1
  3. C2 x-y+3=0
  4. D2 x+y+9=0

Correct answer

A. y=x

Step-by-step solution

Shown in figure aligned & P ₁(-2,-1) & P ₂(-4,-1) & P ₃(-1,-4) aligned

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