यदि x एक वास्तविक मात्रा है, तो (25 cos2 x + 9 sec2 x) का न्यूनतम मान क्या है?

This question was previously asked in
SSC CGL 2020 Tier-I Official Paper 16 (Held On : 23 Aug 2021 Shift 1)
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  1. 30
  2. 15
  3. 20
  4. 40

Answer (Detailed Solution Below)

Option 1 : 30
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Detailed Solution

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दिया गया है:

(25 cos2 x + 9 sec2 x)

प्रयुक्त सूत्र:

acos2x + bsec2x का न्यूनतम मान= 2√ab

गणना:

प्रश्न के अनुसार:

acos2x + bsec2x का न्यूनतम मान= 2√ab

⇒ 2√(25 × 9)

⇒ (2 × 5 × 3)

⇒ 30

∴ अभीष्ट मान 30 है

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