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^3+7x-9=0,` then he value of `(1+alpha^2)(1+beta^2)(1+gamma^2)(1+sigma^2)` is `9` b. `11` c. `13` d. 5

A

9

B

11

C

13

D

15

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|29 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma,sigma are the roots of the equation x^(4)+4x^(3)-6x^(2)+7x-9=0, then he value of (1+alpha^(2))(1+beta^(2))(1+gamma^(2))(1+sigma^(2)) is 9b 11c.13d.5

If alpha, beta, gamma, delta 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+delta^(2)) is

If alpha,beta,gamma be the roots of the equation x(1+x^(2))+x^(2)(6+x)+2=0 then the value of (1)/(alpha)+(1)/(beta)+(1)/(gamma)=

If alpha,beta,gamma are the roots of equation 3^(3)-2x^(2)+3x-5=0, then the value of (alpha-1)^(-1)+(beta-1)^(-1)+(gamma-1)^(-1) is equal to

If alpha, beta and gamma are three ral roots of the equatin x ^(3) -6x ^(2)+5x-1 =0, then the value of alpha ^(4) + beta ^(4) + gamma ^(4) is:

If alpha,beta,gamma,delta are the roots of the equation 3x^(4)-8x^(3)+2x^(2)-9=0 then sum alpha beta=

If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is

If alpha, beta and gamma are the roots of the cubic equation (x-1)(x^(2) + x + 3)=0 , then the value of alpha^(3) + beta^(3) + gamma^(3) is:

If alpha,beta,gamma are the roots of the equation 9x^(3)-7x+6=0, then find the equation whose roots are 3 alpha+2,3 beta+2,3 gamma+2