यदि \(\rm tan A = {3 \over 8}\) है, तब \({3 \sin A + 2 \cos A} \over 3 \sin A - 2 \cos A\) का मान है:

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
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  1. \(- {13 \over25}\)
  2. \(- {25 \over7}\)
  3. \({25 \over8}\)
  4. \({13 \over21}\)

Answer (Detailed Solution Below)

Option 2 : \(- {25 \over7}\)
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Detailed Solution

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दिया गया है:

\(\rm tan A = {3 \over 8},\)

प्रयुक्त संकल्पना:

TanA = SinA / CosA

गणना:

\({3 \sin A + 2 \cos A} \over 3 \sin A - 2 \cos A\)

CosA से विभाजित करने पर हमें प्राप्त होता है,

3 TanA + 2 / 3 TanA - 2

अब Tan A का मान रखने पर हमें प्राप्त होता है,

⇒ \( (3 × {3\over8}+ 2)\over (3 × {3\over8}- 2)\)

⇒ \(- {25 \over7}\)

∴ सही विकल्प 2 है

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