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प्रश्न
Statement (1): In a circle with centre O, chord AB: chord BC = 1 : 3. If angle AOC is 160° ⇒ angle BOC = 120°.
Statement (2): AB : BC = 1 : 3 ⇒ ∠AOC = 3 × ∠AOB
पर्याय
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
MCQ
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उत्तर
Both the statements are false.
Explanation:
Statement 1 is false because central angles are proportional to arc lengths, not chord lengths. Furthermore, even if arc lengths were given, ∠AOC equals the sum of ∠AOB and ∠BOC (making it 4 times ∠AOB), which invalidates Statement 2.
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