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sanabil
sanabil sanabil
  • 18-06-2016
  • Mathematics
Answered

find the centre of the circle that passes through points A (-7,4) B (-4,5) C (0,3)

Verified Answer :

caylus
caylus caylus
  • 18-06-2016

Hello,

Middle[AB]=(-11/2,9/2)
slope AB=(5-4)/(-4+7)=1/3
slope mediatrice=-3
Mediatrice [AB]: y-9/2=-3(x+11/2)==>3x+y=-12 (1)

Middle[BC]=(-2,4)
slope BC=(3-5)/(0+4)=-1/2
slope mediatrice = 2
Mediatrice [BC]: y-4=2(x+2)===>2x-y=-8 (2)


(1)+(2)==>5x=-20==>x=-4
y=2*(4)+8==>y=0
Center (-4,0)

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