Question

1V 7. Find the equation of the circle having AB as diameter wher i) (1, 2), (4, 5)
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Answer 1

Answer:

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