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I WILL MARK AS BRAINEST
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eq is
x^2-x=lamda(2x-1)
x^2-x=lamda(2x)-lamda
x^2-x(2lamda+1)+lamda=0
sum of roots=2lamda+1=0
lamda=-1/2
7) 4x^2-2x+(lamda-4)=0
if roots are reciprocals then their product =1
product of roots =lamda-4=1
lamda=5