ఇచ్చిన పటంలో, O వృత్త కేంద్రం మరియు ∠AOB = 130°. ∠APB ను కనుగొనండి.

F1 SSC Arbaz 19-1-24 D1

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. 110°
  2. 115°
  3. 100°
  4. 95°

Answer (Detailed Solution Below)

Option 2 : 115°
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ఉపయోగించిన భావన:

F1 SSC Arbaz 19-1-24 D2

ఇచ్చిన చిత్రం ప్రకారం, ∠AOB = 2∠ACB

మళ్ళీ, ∠ACB + ∠APB = 180°

గణన:

F1 SSC Arbaz 19-1-24 D2

ఇచ్చిన భావన ప్రకారం,

∠AOB = 2∠ACB

∠ACB = 130/2 = 65°

మళ్ళీ, ∠ACB + ∠APB = 180°

⇒ ∠APB = 180° - 65° = 115°

∴ సరైన సమాధానం 115°

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