find the equation of the circle through the intersection of the circles x2+y2-8x-2y+7=0 and x2+y2-4x+10y+8=0 and passing through the point - Maths - Conic Sections

Question

find the equation of the circle through the intersection of the
circles x2+y2-8x-2y+7=0 and x2+y2-4x+10y+8=0 and passing through
the point (-1,-2)

Brijendra Pal · Accepted Answer

Hi,
The required circle would be x2+y2-8x-2y+7+λx2+y2-4x+10y+8= 0 Now since it passes through -1,-2put x = -1 and y = -2 and find λ and put back the value of λ to find the requied circle
  
Regards

find the equation of the circle through the intersection of the circles x2+y2-8x-2y+7=0 and x2+y2-4x+10y+8=0 and passing through the point (-1,-2)