Question

24. Find the centre of the circle passing through points (-2, -3). (- 1, 0).(7,- 6).
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Answer 1

Step-by-step explanation:

let centre be O(a,b)

n points on circle be A(-2,-3),B(-1,0),C(7,-6)

so AO= BO=CO{Radii]

AO=CO

√{(a+2)²+(b+3)²}=√{(a-7)²+(b+6)²}

a²+4+4a+b²+9+6b=a²+49-14a+b²+36+12b

18a-6b=72.........(1)

BO=CO

√{(a+1)²+(b-0)²}=√{(a-7)²+(b+6)²}

a²+1+2a+b²=a²+49-14a+b²+36+12b

16a-12b=84.......(2)

By any method solve this pair of linear equation.and you will get

a=3,b=-3

so coordinate of center are O(3,-3)