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NTA Abhyas JEE Main2020MathematicsCirclePractice

The distance of the y -axis from the center of the circle which lies in the first quadrant (see figure) and tangent to the lines y = 1 2 x , y = 4 and the x -axis is

Options

  1. A4 + 2 5 units
  2. B4 - 8 5 5 units
  3. C2 + 6 5 5 units
  4. D4 - 2 5 units

Correct answer

A. 4 + 2 5 units

Step-by-step solution

Let centre is k , 2 whose distance from x - 2 y = 0 is k - 4 5 = 2 k - 4 = 2 5 k = 4 + 2 5 ( k = 4 - 2 5 is rejected)

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