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Question

If a+b+c=0, then a.a+b.b+2a.bc.c=

A
2(b.c+c.a)
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B
0
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C
32
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D
2(b.c+c.a)
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Solution

The correct option is C 0
We have, a+b+c=0 .........(1)
aa+bb+2abcc
=a(a+b)+b(b+a)cc
=a(c)+b(c)cc, use (1)
=(a+b+c)c=(0)c=0, use (1)

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