JEE Advanced 2022 Mathematics question

MathematicsCircleJEE Advanced 2022

Let be a circle of radius . Let be circles of equal radius . Suppose each of the circles touches the circle externally. Also, for , the circle touches externally, and touches externally. Then, which of the following statements is/are TRUE ?

Answer: (C),(D)

Solution

The centres of the small circles lie on a circle of radius and adjacent centres are apart: . (A) : – equality, so "" is FALSE. (B) :

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Question ID VK-034019