Home
Class 11
MATHS
If the equation a(n)x^(n) + a(n-1) x^(n-...

If the equation `a_(n)x^(n) + a_(n-1) x^(n-1)+"......" + a_(1) x= 0 (a_(1) cancel(=)0,nge 2)` has a positive root x = `alpha` then the equation `na_(n) x^(n-1)+(n-1)a_(n-1)x^(n-2)+"......"+a_(1) =0` has a positive root, which is

A

equal to `alpha`

B

`ge alpha`

C

`lt alpha`

D

`gt alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|1 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-I))|41 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (PRACTICE SHEET )(ADVANCED)) (INTEGER TYPE QUESTIONS)|3 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

a_(n) = 2^(n), a_(5) = ………

a_(n) = (n-1) (n-2) then a_(2) = ……….

Let f(x)=a_(5)x^(5)+a_(4)x^(4)+a_(3)x^(3)+a_(2)x^(2)+a_(1)x , where a_(i) s are real and f(x) =0 has a positive root alpha_(0) . Then

a_(n) = n/(n+2) , a_(3) = ……….

If a_(n) = (n)/(n+1) , then a_(2017) = ………..

a_(0)x^(n) + a_(1)x^(n-1) + a_(2)x^(n-2) + ……..a_(n)x^(n) is polynomial of degree ……………

If (a_(0))/(n+1) + ( a_(1))/( n ) + ( a_(2))/( n -1)+"......"+ (a_(n-1))/(2) + a_(n) =0 then a_(0)x^(n) + a_(1) x^(n-1) + "..........." + a_(n-1)x + a_(n) =0 has

In a series a_(n) = (n(n+1))/(3), a_(2) = ………….

If sum_(r = 0)^(2n) a_(r ) (x-2)^(r ) = sum_(r = 0)^(2n) b_(r ) (x-3)^(r ) and a_(k ) =1 for all k ge n then show that b_(n ) =""^((2n+1)) C_((n+1)) .