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The bisectors of angles A and B of a scalene triangle ABC meet at O. What is the point O called? OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ? - Mathematics

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प्रश्न

The bisectors of angles A and B of a scalene triangle ABC meet at O.

  1. What is the point O called?
  2. OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ?
  3. What is the relation between angle ACO and angle BCO?
योग

उत्तर

 

  1. O is called the incentre of the incircle of ΔABC.
  2. OR and OQ are the radii of the incircle and OR = OQ.
  3. OC is the bisector of angle C.
    ∴ ∠ACO = ∠BCO  
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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 19: Constructions (Circles) - Exercise 19 [पृष्ठ २९३]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 19 Constructions (Circles)
Exercise 19 | Q 11 | पृष्ठ २९३

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