यदि \(\rm \frac{21\ cosA+3\ sinA}{3\ cosA+4\ sinA}\) = 2 है, तो cot A का मान ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 2)
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  1. \(\frac{9}{11}\)
  2. \(\frac{11}{9}\)
  3. \(\frac{1}{3}\)
  4. \(\frac{11}{10}\)

Answer (Detailed Solution Below)

Option 3 : \(\frac{1}{3}\)
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Detailed Solution

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प्रयुक्त अवधारणा:

Cosθ/ Sinθ = Cotθ

गणना:

\(\rm \frac{21\ cosA+3\ sinA}{3\ cosA+4\ sinA}\) = 2

Sin A से भाग देने पर हमें प्राप्त होता है,

⇒ (21 cot A + 3) / (3 cot A + 4) = 2

⇒ 15 cot A = 5

cot A = 1/3

∴ सही विकल्प 3 है।

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