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Question

If the points A(4, 3) and B(x, 5) lie on a circle with centre O(2, 3), find the value of x.

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Solution

Given, the points A(4, 3) and B(x, 5) lie on a circle with centre O(2, 3).
Then OA = OB
Also (OA)2 = (OB)2
4-22+3-32 = x-22+5-3222+02 = x-22+224= x-22+4x-22 = 0x-2 = 0x=2
Therefore, x = 2.

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