MCQ
If $\alpha_1<\alpha_2<\alpha_3<\alpha_4<\alpha_5<\alpha_6$, then the equation $(x-\alpha_1)(x-\alpha_3) (x-\alpha_5) + 3 (x-\alpha_2) (x-\alpha_4) (x-\alpha_6) = 0$ has :-
  • A
    No real root in $(\alpha_5,\alpha_6)$
  • B
    No real root in $(\alpha_1,\alpha_2)$
  • C
    All roots are imaginary
  • No real root in $(-\infty,\alpha_1)$

Answer

Correct option: D.
No real root in $(-\infty,\alpha_1)$
d

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