x = b + c, y = c - a, z = a - b எனில், x2 + y2 + z2 - 2xy - 2xz + 2yz இன் மதிப்பைக் கண்டறியவும்.

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RRB Group D 27 Sept 2022 Shift 3 Official Paper
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  1. 2b
  2. 4c 2
  3. 4b 2
  4. 4a 2

Answer (Detailed Solution Below)

Option 3 : 4b 2
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கொடுக்கப்பட்டது:

x = b + c, y = c - a, z = a - b

பயன்படுத்தப்படும் சூத்திரம்:

x2 + y2 + z2 - 2xy - 2xz + 2yz. = (-x + y + z)2

கணக்கீடு:

மேலே உள்ள சமன்பாட்டில் x, y, z மதிப்புகளை பிரதியிட,

=> (-x + y + z)2 = (-(b+c) + (c-a) + (a-b))2

=> (-b - c + c -a + a - b)2

=> (-2b)2

=> 4b2

எனவே, சரியான பதில் '4b2'.
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