JEE Math Practice Question
If the equation $${a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ........... + {a_1}x = 0$$ $${a_1} \ne 0,n \ge 2,$$ has a positive root $$x = \alpha $$, then the equation $$n{a_n}{x^{n - 1}} + \left( {n - 1} \right){a_{n - 1}}{x^{n - 2}} + ........... + {a_1} = 0$$ has a positive root, which is
- A.greater than $$\alpha $$
- B.smaller than $$\alpha $$
- C.greater than or equal to smaller than $$\alpha $$
- D.equal to smaller than $$\alpha $$
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