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Question

If (¯¯¯aׯ¯b)2+(¯¯¯a¯¯b)2=144 and |a|=4, then |b| is equal to

A
16
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B
8
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C
3
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D
12
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Solution

The correct option is D 3
Since, (¯¯¯aׯ¯b)2+(¯¯¯a.¯¯b)2=144
If angle between ¯¯¯a and ¯¯b is θ.
then |a|2|b|2sin2θ+|a|2|b|2cos2θ=144
|¯¯¯a|2|¯¯b|2=144
|¯¯¯a||¯¯b|=12
4|¯¯b|=12
|¯¯b|=3

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