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CBSE Class 11-science Answered

Let a1  ,  a2,  ……., a100 be non zero real number such that

a1 + a2 + …… + a100 = 0    then

a.   ∑100i=1  at  2ai    > 0  and  ∑100i=1  ai 2-ai <0

b.  ∑100i=1  at  2ai    >= 0  and  ∑100i=1  ai 2-ai  >=0

c.  ∑100i=1  at  2ai    <= 0  and  ∑100i=1  ai 2-ai <=0

d.  the sign of  100i=1  at  2ai or 100i=1  at  2ai depends on the choice of ai’s
Asked by Anil | 22 Aug, 2017, 08:29: PM
answered-by-expert Expert Answer
Option d is correct.
If we take 4 numbers such as -1,1,-1,1
their sum is 0 and given summation is 0
But if we take 1,1,-1,-1
then also their sum is 0 but given summation is > 0

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