find the equation of the circle with diameter ab if a(-3 2) and b(1 4)
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Step-by-step explanation:
Correct option is
B
(x−1)
2
+(y−2.5)
2
=4.25
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
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