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NTA Abhyas JEE Main2020MathematicsCirclePractice

A circle of radius 2 units is touching both the axes and a circle with centre at ( 6 ,   5 ) . The distance between their centers is

Options

  1. A8 units
  2. B5 units
  3. C7 units
  4. DNone of these

Correct answer

B. 5 units

Step-by-step solution

Radius of smaller circle is r = 2 units (given) Since, it is touching both the axes, so its centre is ( 2 ,   2 ) The distance between their centers = r + R =   5 - 2 2 + 6 - 2 2 =   3 2 + 4 2 =   25 = 5   u n i t s

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