4 cosθ + 3 का न्यूनतम मान क्या है?

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UP TGT Mathematics 2021 Official Paper
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  1. -3
  2. -1
  3. 0
  4. 1

Answer (Detailed Solution Below)

Option 2 : -1
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UP TGT Hindi FT 1
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संकल्पना:

cos θ का न्यूनतम मान -1 होता है जब = 180° होता है। अतः, cos θ के मानों का परिसर – 1 ≤ cos θ ≤ 1 है।

गणना:

चूँकि cosθ का न्यूनतम मान -1 है।

तो, 4 cosθ + 3 का न्यूनतम मान = 4(-1) + 3

⇒ -4 + 3

⇒ -1

अत: 4 cosθ + 3 का न्यूनतम मान -1 है।

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