JEE Math Practice Question
Let $$\alpha \,,\beta $$ be real and z be a complex number. If $${z^2} + \alpha z + \beta = 0$$ has two distinct roots on the line Re z = 1, then it is necessary that :
- A.$$\beta \, \in ( - 1,0)$$
- B.$$\left| {\beta \,} \right| = 1$$
- C.$$\beta \, \in (1,\infty )$$
- D.$$\beta \, \in (0,1)$$
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