यदि p @ q = p2 + q+ 2pq, p # q = p2 - q2 - 2pq है, तो (7 @ 2) # 4 का मान क्या है ? 

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 24th Aug 2024 Shift 2)
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  1. 493
  2. 5897
  3. 568
  4. 6480

Answer (Detailed Solution Below)

Option 2 : 5897
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Detailed Solution

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दिया गया:

p @ q = p2 + q+ 2pq

p # q = p2 - q2 - 2pq

गणना:

(7 @ 2) # 4

(7 @ 2)

⇒ 72 +22 + 2×7×2

⇒ 49 + 4 + 28

⇒ 81

अब,

81 # 4

⇒ 812 - 42 - 2×81×4

⇒ 6561 - 16 - 648

⇒ 6561 - 664

⇒ 5897

इस प्रकार, (7 @ 2) # 4 = 5897

∴ सही उत्तर विकल्प (2) है।

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