A) Greater than or equal to a
B) Equal to \[\alpha \]
C) Greater than \[\alpha \]
D) Smaller than \[\alpha \]
Correct Answer: D
Solution :
Let \[f(x)={{a}_{n}}{{x}^{n}}+{{a}_{n-1}}{{x}^{n-1}}+....+{{a}_{1}}x\]; \[f(0)=0;\] \[f(\alpha )=0\] Þ \[{f}'(x)=0\], has atleast one root between \[(0,\alpha )\] i.e., equation \[n{{a}_{n}}{{x}^{n-1}}+(n-1){{a}_{n-1}}{{x}^{n-2}}+....+{{a}_{1}}=0\] has a positive root smaller than .You need to login to perform this action.
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