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TS EAMCET · Maths · Circle

The center of the circle passing through the point 1,0 and cutting the circles x2+y2-2x+4y+1=0 and x2+y2+6x-2y+1=0 orthogonally is

  1. A -23,23
  2. B 12,12
  3. C 0,1
  4. D 0,0
Verified Solution

Answer & Solution

Correct Answer

(D) 0,0

Step-by-step Solution

Detailed explanation

The given circles are x2+y2-2x+4y+1=0 and x2+y2+6x-2y+1=0 Let the equation of the required circle be x2+y2+2gx+2fy+c=0 having centre -g,-f. Since, the circle passes through 1,0. So, we have 2g+c=-1....1 The circle x2+y2-2x+4y+1=0 has centre at 1,-2. The circle x2+y2+6x-2y+1=0…