Question

If points A(4,3) and B(x,5) are on the circle with centre O(2,3), What will be the value of x?

Answer 1

Answer:

Since A and B lie on the circle having centre O.

Therefore, OA = OB

(4−2)

2

+(3−3)

2

=

((x−2)

2

+(5−3)

2

2=

(x−2)

2

+4

(x−2)

2

+4=4

(x−2)

2

=0

x−2=0

x=2