Under which of the following conditions does the determinant |\table a , b , c ; b , c , a ; c , a , b| vanish ? 1. a+b+c=0 2. a^{3}+b^{3}+c^{3}=3 a b c 3. a^{2}+b^{2}+c^{2}-a b-b c-c a=0 Select the correct answer using the code given below : [NDA-I 2022]

UPSC NDA I 2022 Mathematics Solved Paper

Question : 3 of 120

Marks: +1, -0

Under which of the following conditions does the determinant |

| vanish ?
1. a+b+c=0
2. a3+b3+c3=3abc
3. a2+b2+c2−ab−bc−ca=0
Select the correct answer using the code given below :

[NDA-I 2022]

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