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COMEDK2023MathematicsCircle

The points of intersection of circles (x+1)^2+y^2=4 and (x-1)^2+y^2=9 are (a, b) , then (a, b) equals to

Options

  1. A(1.25, 3 4 7 )
  2. B(-1.25, 3 4 7 )
  3. C(-1,2)
  4. D(1,3)

Correct answer

B. (-1.25, 3 4 7 )

Step-by-step solution

On subtracting Eq. (ii) from Eq. (i), we get array rlrl & (x+1)^2-(x-1)^2=4-9 & (x^2+2 x+1 )- (x^2-2 x+1 )=-5 & 4 x=-5 & x=-1.25 array On putting, x=-1.25 into Eq. (i), we get aligned & (-0.25)^2+y^2=4 & y^2=3.9375 y= 3.9375 & y= 3 4 7 & a=-1.25 and b= 3 4 7 & (a, b)= (-1.25, 3 4 7 ) & aligned

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