Question
The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is
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10/3
-
3/5
-
6/5
-
5/3
Solution
A.
10/3
Let (h, k) be centre. (h – 1)2 + (k – 0)2 = k2
⇒ h = 1
(h – 2)2 + (k – 3)2 = k2
⇒ k = 5 /3
therefore, diameter is 2k = 10/3
