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Suppose a,b,c in R and a+b+c!=0. Let Del...

Suppose `a,b,c in R and a+b+c!=0.` Let `Delta=|(b+c,c+a,a+b),(c+a,a+b,b+c),(a+b,b+c,c+a)|.` If `Delta=0,` then

A

`a=b=c`

B

`a^(3)+b^(3)-c^(3)=0`

C

`a=b+c`

D

`a=b=c=0`

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A
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Knowledge Check

  • The value of Delta = |(b -c,c -a,a -b),(c -a,a -b,b -c),(a -b,b -c,c -a)| is

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    `a + b + c`
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