Question

If the points A(4,3) and B(x,5) lie on a circle whose center is O(2,3). Find ‘x’

Answer 1

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Asked on December 20, 2019 by

Pious Mall

If the points A(4, 3) & B(x, 5) are on the circles with centre O(2, 3), find the value of x.

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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