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COMEDK2024MathematicsCircle

If c₁ x^2+y^2-2 x+4 y+5=0 and c₂ x^2+y^2-x+2=0 are two circles. Then the point (1,0) lies

Options

  1. AInside c₁ only
  2. BInside c₁ and c₂
  3. CInside c₂ only
  4. DOutside c₁ and c₂

Correct answer

D. Outside c₁ and c₂

Step-by-step solution

c₁(1,0)=1^2+0^2-2(1)+ 4 (0)+5 =1-2+5=4 0 (1,0) lies outside of c₁ aligned c₂(1,0) & =1^2+0^2-1+2 & =1-1+2=2 0 aligned (1,0) lies outside of c₂

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