सदिशों के बीच कोण के किस मान के लिए राशि अधिकतम है?

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NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 30°
  2. 45°
  3. 60°

Answer (Detailed Solution Below)

Option 2 : 30°
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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व्याख्या:

माना P =

=

=

⇒ p अधिकतम होगा यदि (sin θ + √3cos θ) अधिकतम है।

अब, इसके अधिकतम मान के लिए,

⇒ Cosθ -√3 sinθ =0

⇒ θ =30°

∴ विकल्प (b) सही है

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