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CBSE Class 10 Maths (Basic) 2024 · Paper 430/1/1 · Question 38

Circles 4 marks Medium
The picture given below shows a circular mirror hanging on the wall with a cord. The diagram represents the mirror as a circle with centre . and are tangents to the circle at and respectively such that cm and . Based on the above information, answer the following questions.
O A P Q 60°
Circle (mirror) with tangents AP, AQ from external point A, angle PAQ = 60 degrees
  1. (i)Find the length .[1]
  2. (ii)Find .[1]
  3. (iii)(a)Find the length .[2]
  4. (iii)(b)OR Find the radius of the mirror.[2]

Answer

(i) cm; (ii) ; (iii)(a) cm; OR (iii)(b) The radius of the mirror is cm.

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