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Tanu has a circle of radius 3 cm and a tangent PA = 4 cm. She writes OP = 3 + 4 = 7 cm. What is the correct OP?

Class 10Tangent Lengths and IncirclesGeometry
  • A5 cm, using
  • B12 cm, using
  • C1 cm, using 4 − 3
  • D7 cm, her answer is right

Step-by-Step Solution

OA ⊥ PA, so triangle OAP is right-angled at A: cm. Adding the lengths treats , A, as if they were on one line.
Answer: A) 5 cm, using

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