p = 106, q = 105 மற்றும் r = 104 எனில், p 2 + q 2 + r 2 - pq - qr - rp இன் மதிப்பு:

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Answer (Detailed Solution Below)

Option 4 : 3
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SSC Selection Post Phase 13 Matriculation Level (Easy to Moderate) Full Test - 01
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கொடுக்கப்பட்டவை:

p = 106, q = 105 மற்றும் r = 104

பயன்படுத்தப்படும் சூத்திரம்:

p 2 + q 2 + r 2 - pq - qr - rp = 1/2 [(p - q) 2 + (q - r) 2 + (r - p) 2 ]

கணக்கீடு:

p 2 + q 2 + r 2 - pq - qr - rp

⇒ 1/2 [(p - q)2 + (q - r)2 + (r - p)2]

⇒ 1/2 [(106 - 105) 2 + (105 - 104) 2 + (104 - 106) 2 ]

⇒ 1/2 [(1) 2 + (1) 2 + (-2) 2 ]

⇒ 1/2 [1 + 1 + 4]]

⇒ 1/2 × 6

⇒ 3 ⇒ 3

∴ சரியான பதில் விருப்பம் 4 ஆகும்.

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