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Question

If |a|=5,|ab|=8 and |a+b|=10, then |b| is equal to :

A
1
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B
57
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C
13
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D
14
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Solution

The correct option is C 57
|a|=5,ab=8,a+b=10ab2=64|a|2+b22ab=64a+b2=100|a|2+b22ab=100b22ab=39b2+2ab=752b2=114b2=57b=57Hence,correctoptionis(B)

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