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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

If PR is tangent to the circle at P and O is the centre of the circle, then ∠POQ is - Mathematics

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प्रश्न

If PR is tangent to the circle at P and O is the centre of the circle, then ∠POQ is

विकल्प

  • 120°

  • 100°

  • 110°

  • 90°

MCQ

उत्तर

120°

Explanation;

Hint:

Since PR is tangent of the circle.

∠QPR = 90°

∠OPQ = 90° – 60° = 30°

∠OQB = 30°

In ∆OPQ

∠P + ∠Q + ∠O = 180°

30 + 30° + ∠O = 180°  ...(OP and OQ are equal radius)

∠O = 180° – 60° = 120°

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Circles and Tangents
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Geometry - Exercise 4.5 [पृष्ठ २००]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 4 Geometry
Exercise 4.5 | Q 15 | पृष्ठ २००
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