Question

find the equation of the circle whose diameter AB, where A(4,2) and B(-2,4)​

Answer 1

Step-by-step explanation:

AB is diameter ⟹ centre is midpoint of AB which is (

2

−1+3

,

2

2+3

)=(1,2.5)

AB=

(−1−3)

2

+(2−3)

2

=

17

⟹ radius =

2

AB

=

2

17

Equation of circle is (x−1)

2

+(y−2.5)

2

=

4

17

=4.25