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If \(\alpha, \beta\), where \(\alpha<\beta\),are the roots of the equation \(\lambda {x}^{2}−\left(\lambda +3\right)x…

Q1

If \(\alpha, \beta\), where \(\alpha<\beta\),are the roots of the equation \(\lambda {x}^{2}−\left(\lambda +3\right)x+3=0\) such that \(\frac{1}{\alpha }−\frac{1}{\beta }=\frac{1}{3}\), then the sum of all possible values of λ is

a

8

b

4

c

2

d

6

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