Δ PQR இல், S என்பது QR இன் நடுப்புள்ளி மற்றும் PS = SR ஆகும். ∠Q = 48° - என்றால், ∠SPR இன் அளவு (டிகிரிகளில்) என்னவாக இருக்கும்?

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PGCIL DT Electrical 5 May 2023 Official Paper
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  1. 44
  2. 34
  3. 52
  4. 42

Answer (Detailed Solution Below)

Option 4 : 42
Free
CT 1: Classification I
10 Qs. 10 Marks 10 Mins

Detailed Solution

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கொடுக்கப்பட்டது:

S என்பது நடுப் புள்ளி.

மற்றும் PS = SR

∠Q = 48°

கணக்கீடு :

 SR = PS மற்றும் QS = SR என்பதால்

 PS = SR = QS ஆகும்.

ΔPQS இல்,

∠Q = 48° , ∠P = 48°

⇒ ∠Q + ∠P + ∠S = 180°

⇒ ∠S = 180° - 96° = 84°

இப்போது, ∠QSP + ∠PSR = 180°

⇒ 84° + ∠PSR = 180°

⇒ ∠PSR = 180° - 84° = 96°

ΔPSR இல்,

⇒ ∠P + ∠S + ∠R = 180°

⇒ 96° + x + x = 180°

⇒ 2x = 180° - 96° = 84°

⇒ x = 42°

∠SPR = 42°.

∴ சரியான பதில் 42°.

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