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Question

If |a+b| = |a-b| then (a,b) =

A
π6
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B
π4
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C
π3
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D
π2
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Solution

The correct option is D π2
|a+b|=|ab||a+b|2=|ab|2(a+b)2=(ab)2a2+b2+2a.b=a2+b22a.b4a.b=0a.b=0(a,b)=90

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