The portion of the line \( a x+b y-1=0 \), intercepted between the ...

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The portion of the line \( a x+b y-1=0 \), intercepted between the lines \( a x+y+1=0 \) and \( x+b y=0 \) subtends a right angle at the origin and the condition in \( a \) and \( b \) is \( \lambda a+b+b^{2}=0 \), then find value of \( \lambda \).
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