9 sin 7x + 20 = 0 का समीकरण ज्ञात कीजिए, जिससे x ∈ [- 2π, 7π/4] है? 

  1. 2π/3
  2. 5π/3
  3. π/3
  4. कोई हल नहीं

Answer (Detailed Solution Below)

Option 4 : कोई हल नहीं
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Detailed Solution

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संकल्पना:

- 1 ≤ sin x ≤ 1

गणना:

दिया गया है: 9 sin 7x + 20 = 0

⇒ sin 7x = - 20/9 < - 1

चूँकि हम जानते हैं कि, किसी तर्क के लिए θ, - 1 ≤ sin θ ≤ 1

अतः इस समीकरण के लिए कोई हल नहीं है। 

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