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JEE Main20245 Apr 2024Evening ShiftMathematicsCircleActual

Let the circle C₁: x^2+y^2-2(x+y)+1=0 and C₂ be a circle having centre at (-1,0) and radius 2 . If the line of the common chord of C ₁ and C ₂ intersects the y -axis at the point P , then the square of the distance of P from the centre of C ₁ is :

Options

  1. A2
  2. B1
  3. C4
  4. D6

Correct answer

A. 2

Step-by-step solution

aligned & S₁: x^2+y^2-2 x-2 y+1=0 & S₂: x^2+y^2+2 x-3=0 & Common chord =S₁-S₂=0 & -4 x-2 y+4=0 & 2 x+y=2 P(0,2) & d_ (c, p) ^2=(1-0)^2+(2-1)^2=2 aligned

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