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NTA Abhyas JEE Main2020MathematicsCirclePractice

The length of the radius of the circle which touches the x -axis at the point 1 , 0 and passes through the point 2 , 3 is

Options

  1. A10 3 units
  2. B3 5 units
  3. C6 5 units
  4. D5 3 units

Correct answer

D. 5 3 units

Step-by-step solution

Circle touches the x -axis at 1 , 0 So, center of circle is 1 , k and radius is k . Hence, the equation of circle is: x - 1 2 + y - k 2 = k 2 It passes through the point 2 , 3 , ⇒ 1 + 9 - 6 k + k 2 = k 2 ∴ k = 5 3

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