Let alpha and beta be the roots of eq...

Let `alpha` and `beta` be the roots of equation `x^2-6x-2""=""0` . If `a_n=alpha^n-beta^n ,""for""ngeq1` , then the value of `(a_(10)-2a_8)/(2a_9)` is equal to: (1) 6 (2)`-6` (3) 3 (4) `-3`

A

6

B

`-6`

C

3

D

`-3`

Text Solution

Verified by Experts

The correct Answer is:

C

Promotional Banner

Promotional Banner

Topper's Solved these Questions

QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
QUADRATIC EQUATIONS
MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos
PROGRESSIONS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
SETS, RELATIONS AND FUNCTIONS
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

Let alpha and beta be the roots of the equation x^(2)-6x-2=0 If a_(n)=alpha^(n)-beta^(n) for n>=0 then find the value of (a_(10)-2a_(8))/(2a_(9))

Let alpha and beta be the roots of the equation 5x^2+6x-2=0 . If S_n=alpha^n+beta^n, n=1,2,3.... then

Let alpha and beta be the roots of x^(2)-6x-2=0 with alpha>beta if a_(n)=alpha^(n)-beta^(n) for n>=1 then the value of (a_(10)-2a_(8))/(2a_(9))

If alpha and beta are the roots of the equation x^(2)-ax+b=0 and A_(n)=alpha^(n)+beta^(n)

If alpha and beta be root of x^2-6x-2=0 with alpha gt beta if a_n=alpha^n-beta^n for n ge 1 then the value of (a_(10)-2a_8)/(3a_9)

Let alpha and beta be the roots of the equation 5x^2 + 6x-2 =0 if S_(n ) = alpha ^(n) + beta^(n) , n= 1,2,3 ..,, then :

Let alpha and beta be the roots of x^(2)-5x+3=0 with alpha gt beta . If a_(n) = a^(n)-beta^(n) for n ge1 , then the value of (3a_(6)+a_(8))/(a_(7)) is :

Let alpha and beta are the roots of x^(2)+10x-7=0. If a_(n)=alpha^(n)+beta^(n) for n<=1 then the value of (a_(12)-7a_(10))/(2a_(11)) is

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers

If alpha and beta are roots of the equation x^2-4sqrt2kx + 2e^(4 Ink)-...
Text Solution
|
The number of solutions of sqrt(3x^(2)+x+5)=x-3 is
Text Solution
|
Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...
Text Solution
|
If 2+3i is one of the roots of the equation 2x^3-9x^2 + kx-13 = 0, k e...
Text Solution
|
If the two roots (a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0 are real and dist...
Text Solution
|
The sum of all real values of X satisfying the equation (x^2-5x+5)^(x^...
Text Solution
|
If the equations x^2+bx-1=0 and x^2+x+b=0 have a common root different...
Text Solution
|
If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1 (x >=1/2...
Text Solution
|
Let x, y, z be positive real numbers such that x + y + z = 12 and x^3y...
Text Solution
|
If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...
Text Solution
|
Let p(x) be a quadratic polynomial suchthat p(0) = 1. If p(x) leaves...
Text Solution
|
The sum of all the real values of x satisfying the equation 2^((x-1)(x...
Text Solution
|
If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...
Text Solution
|
v22
Text Solution
|
Let p,q and r be real number (p ne q, r ne 0) such that the roots of ...
Text Solution
|
If f(x) is a quadratic expression such that f(1) + f(2) = 0, and -1 is...
Text Solution
|
Let alpha and beta be two roots of the equation x^(2) + 2x + 2 = 0. Th...
Text Solution
|
If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are rea...
Text Solution
|
The number of all possible positive integral values of alpha for whic...
Text Solution
|
Consider the quadratic equation (c - 5)x^(2) - 2cx + (c - 4) = 0, c ne...
Text Solution
|