Home
Class 12
MATHS
If alpha,beta,gamma,sigma are the roots ...

If `alpha,beta,gamma,sigma` are the roots of the equation `x^4+4x^3-6x^2+7x-9=0,` then the value of `(1+alpha^2)(1+beta^2)(1+gamma^2)(1+sigma^2)` is

A

9

B

11

C

13

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are the roots of the equation 2x^(3) -3x^(2) +6x + 1 = 0 then alpha^(2) + beta^(2) + gamma^(2) is equal to…..

If alpha,beta be the roots of the equation 3x^2+2x+1=0, then find value of ((1-alpha)/(1+alpha))^3+((1-beta)/(1+beta))^3

If alpha,beta,gamma are the roots of x^3-x^2-1=0 then the value of (1+alpha)/(1-alpha)+(1+beta)/(1-beta)+(1+gamma)/(1-gamma) is equal to

If alpha , beta are the roots of the equation : x^(2) + x sqrt(alpha) + beta = 0 , then the values of alpha and beta are :

If alpha, beta, gamma are the roots of the equatiion x^(3)-px^(2)+qx-r=0 find (i) sumα^(2) (ii) sumalpha^(2) beta

If alpha,beta are roots of the equation 6x^(2) + 11x + 3 = 0 then :

If alpha , beta , gamma are the roots of the equation x^(3) + 4x + 2 = 0 ,then alpha^(3) + beta^(3) + gamma^(3) =

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is

If alpha and beta are the zeroes of the polynomial f(x) = 3x^(2)+5x+7 then find the value of (1)/(alpha^(2))+(1)/(beta^(2)) .

If alpha, beta and gamma are the roots of the equation x^(3)-8x+8=0 , then sum alpha^(2) and sum (1)/(alpha beta) are respectively