SECTION 3 (Maximum Marks: 18)
• This section contains SIX (06) questions. The answer to each question is a NUMERICAL VALUE.
• For each question, enter the correct numerical value of the answer using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer. If the numerical value has more than two decimal places, truncate/round-off the value to TWO decimal places.
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks : +3 If ONLY the correct numerical value is entered;
Zero Marks : 0 In all other cases.
Let 
be a cube root of unity. Then the minimum of the set { 
: a, b, c distinct non-zero integers} equals_____
Text Solution
Verified by Experts3
(3)
= (a + b 
+ c 
2 )(a + b 
+ c 
2 )
= a 2 + b 2 + c 2 - ab - bc - ca
= 
[(a-b) 2 +(b-c) 2 +(c-a) 2 ]
Let a > b > c 
|a - b| 
1, |b – c| 
1, |a - c| 
2
(1 + 1 + 4) 
3
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