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A parallelogram is drawn so that all four of its sides touch a circle. The parallelogram must be a:

Class 10Tangent Lengths and IncirclesGeometry
  • ARhombus
  • BTrapezium
  • CKite with unequal pairs
  • DRectangle with unequal sides

Step-by-Step Solution

+ CD = AD + for a circumscribed quadrilateral. In a parallelogram = CD and AD = , so , i.e. all sides are equal: a rhombus.
Answer: A) Rhombus

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