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AP EAMCET20227 Jul 2022Evening ShiftMathematicsCircleActual

The ratio of the areas of the greatest and the smallest circles touching (x 1)^2+(y 1)^2=1 is

Options

  1. A3 +1 3 -1
  2. B3+ 2 3- 2
  3. C3+2 2 3-2 2
  4. D4

Correct answer

C. 3+2 2 3-2 2

Step-by-step solution

(c) Let radius of smaller circle be r and radius of bigger.circle be R aligned r & = 2 -1 R & = 2 +1 Ratio of areas & = ( 2 +1)^2 ( 2 -1)^2 = 3+2 2 3-2 2 aligned

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