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Question
If the points A(4, 3) and B(x, 5) lie on a circle with the centre O (2, 3), find the value of x.
If the points A(4, 3) and B(x, 5) lie on a circle with the centre O (2, 3), find the value of x.
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Solution
Given centre of circle is O(2, 3)
Points on the circle are A(4, 3) and B(x, 5)
OA =OB (Radius)
Recall the distance between two points formula
Squaring on both the sides, we get
Þ x – 2 = 0
∴ x = 2
Points on the circle are A(4, 3) and B(x, 5)
OA =OB (Radius)
Recall the distance between two points formula
Squaring on both the sides, we get
Þ x – 2 = 0
∴ x = 2
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