Home
Class 12
MATHS
If alpha,beta,gamma are the roots of x^(...

If `alpha,beta,gamma` are the roots of `x^(3)+2x^(2)-x-3=0`. If `a` = `alpha^(2)+beta^(2)+gamma^(2),b= alphabeta+betagamma+gammaalpha` the value of `|{:(a,b,b),(b,a,b),(b,b,a):}|` is

A

A. 14

B

B. 49

C

C. 98

D

D. 196

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Determinants Exercise 5:|5 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

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

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,gamma are the roots of x^3-3x^2 +3x + 7 =0 then (alpha-1)/(beta-1)+(beta-1)/(gamma-1)+(gamma-1)/(alpha-1)

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

If alpha and beta are the roots of 4x^2 + 3x + 7 = 0 then the value of alpha beta

If alpha, beta are the roots of x^2-a(x-1)+b=0 , then the value of 1/(alpha^2- a alpha)+1/(beta^2-b beta)+2/(a+b) is :

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

If alpha and beta are the roots of the equation x^2+x+1=0 , then alpha^2+beta^2 is equal to: