Binomial Theorem

Question
CBSEENMA11015515

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

  • 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

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