If the equation a_n x^n+a_{n-1} x^{n-1}+. . . . . . . . . . . .+a_1 x=0 a_1 \neq 0, n \geq 2, has a positive root x=\alpha, then the equation n a_n x^{n-1}+(n-1) a_{n-1} x^{n-2}+. . . . . . . . . . . .+a_1=0 has a positive root, which is [AIEEE 2005]

Correct Answer is : smaller than α

greater than or equal to smaller than \alpha

AIEEE 2005 Math Solved Paper

Section: Mathematics

Question : 32 of 71

Marks: +1, -0

If the equation anxn+an−1xn−1+............+a1x=0 a1≠0,n≥2, has a positive root x=α, then the equation nanxn−1+(n−1)an−1xn−2+............+a1=0 has a positive root, which is

[AIEEE 2005]

greater than α
smaller than α
greater than or equal to smaller than α
equal to smaller than α

Validate

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