Quadratic

The equation $ x^2-6x+8+\lambda(x^2-4x+3)=0 ,  \lambda\in R  $ has ,
a)real and unequal roots for all $ \lambda $
b)real roots for $ \lambda < 0  $ only
c)real roots for $ \lambda >0  $ only
d)real and unequal roots for $ \lambda=0  $ only

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