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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता 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

पर्याय

  • 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
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पाठ 4: Geometry - Exercise 4.5 [पृष्ठ २००]

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