Question

find the centre of the circle passing through points (3,0),(2,√5),(-2√2,-1)
​

Answer 1

Answer:

Answer is (2,0) Please mark me as brainliast. Hope it helps.

Step-by-step explanation:

Point A: A(1,

3

),B(1,−

3

) and C(1,−

3

) lie on circle.

And <ABC=90

0

So, circle having C(3,−

3

) and A(1,

3

) as diametric ends is given by.

(x−3)(x−1)+(y+

3

)(y−

3

)=0

⇒x−4x+3+y

2

−3=0

⇒x

2

+y

2

−4x=0

So, centre of circle is (2,0).

Please mark me as brainliast. Hope it helps.