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Let x^2 - 2(a - 1)x + a - 1 = 0 (a in R) be a quadratic equation, then find the values of "a" for which (i) Exactly one root lies in (0,1) (ii) Both roots lies in (0, 1). (iii)Atleast one root lies in (0,1). (iv) One root is greater than 1 and other root is smaller than 0. |
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