A(3,8), B(-9,-8) are points in a plane. For the circle with the diameter AB, a) Find the coordinates of the centre. b) Find the radius of the circle. c) Is (5,8) a point on the circle?
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Answer:
Correct option is B)
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
Step-by-step explanation:
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