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NTA Abhyas JEE Main2020MathematicsCirclePractice

Let the point at which the circle passing through 0,0 and 1,0 touches the circle x 2 + y 2 = 9 is P h , k , then k is equal to

Options

  1. A5
  2. B2 2
  3. C6
  4. D7

Correct answer

B. 2 2

Step-by-step solution

From the figure, for the small circle, the radius is 3 2 units and the centre is 1 2 , λ Therefore, 1 2 2 + λ 2 = 3 2 ⇒ λ = ± 2 Since, O P is the diameter of the circle, ⇒ P = 1 , ± 2 2 ⇒ k = 2 2

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