CircleHard

Question

The length of the diameter of the circle whichtouches the x-axis at the point (1, 0) and passesthrough the point (2, 3) is :

Options

A.5/3
B.10/3
C.3/5
D.6/5

Solution

         
Let center of the circle be C(1, β)
β2 = (2 - 1)2 + (3 - β)2 
⇒ β2 = - 6 β + 10 + β2
⇒
∴
diameter

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