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Question

If |b|1 and x = - |a| b, then which one of the following is necessarily true?

A
axb<0
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B
axb0
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C
axb>0
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D
axb0
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Solution

The correct option is B axb0
|b|1b1 or b1
x = - |a| b (given)
Consider a - xb = a - (-|a|b)b
=a+|a|b20 since, b21

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