Question

Centre of circle passing through A(0,1),
B(2,3), C(-2, 5) is
​

Answer 1

Answer:

centre of the triangle is (0, 3)

Answer 2

Answer:

Let the circle be x2+y2+Dx+Ey+F=0     .....(1) 

A(0,1) passes through equation(1)

⇒0+1+0+E+F=0 

⇒E+F=−1                       .....(1)

B(2,3) passes through equation(1)

⇒4+9+2D+3E+F=0

⇒2D+3E+F=−13           ....(3)

C(−2,5) passes through equation(1)

⇒4+25−2D+5E+F=0

⇒−2D+5E+F=−29         ....(4)

(3)⇒2D+3E+F=−13

⇒2D+2E+E+F=−13

⇒2D+2E−1=−13 from (2)

⇒2D+2E=−13+1=−12

⇒D+E=−6       ........(5)

(4)⇒−2D+4E+E+F=−29

⇒−2D+