Home
Class 11
MATHS
If alpha,beta,gamma are such that alpha+...

If `alpha,beta,gamma` are such that `alpha+beta+gamma=2,""alpha^2+beta^2+gamma^2=6,""alpha^3+beta^3+gamma^3=8,t h e n""alpha^4+beta^4+gamma^4` is a. 18 b. 10 c. 15 d. 36

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta, gamma are the cube roots of 8 , then |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)|=

If sin alpha+ sin beta+ sin gamma=3, then sin^3alpha+sin^3beta+sin^3 gamma=

If 2x^(3) + 3x^(2) + 5x +6=0 has roots alpha, beta, gamma then find alpha + beta + gamma, alphabeta + betagamma + gammaalpha and alpha beta gamma

If alpha+beta+gamma=2pi , then show that tan.alpha/2 + tan.beta/2 + tan.gamma/2 = tan.alpha/2 tan.beta/2 tan.gamma/2 .

Determine the values of alpha ,beta , gamma when [{:( 0, 2beta, gamma),( alpha ,beta, -gamma),( alpha ,-beta, gamma):}] is orthogonal.

If alpha+beta, gamma epsilon R^(+) such that alpha gamma =1/(beta) then maximum value of alpha^(beta+gamma), .beta^(beta+gamma).gamma^(alpha+beta) is_____

If alpha,beta,gamma in R, alpha+beta+gamma=4 " and " alpha^(2)+beta^(2)+gamma^(2)=6 , the number of integers lie in the exhaustive range of alpha is ……… .

if alpha, beta, gamma are the roots of the equation x^(3) + 3x + 2=0 " then " (alpha^(3) +beta^(3)+gamma^(3))/(alpha^(2) +beta^(2)+gamma^(2))

If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0 , then the value of |(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta)| , is

If alpha,beta,gamma are roots of the equation x^(3)+px+q=0 then the value of |{:(alpha,beta,gamma),(beta,gamma,alpha),(gamma,alpha,beta):}| is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If (log)(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in ...

    Text Solution

    |

  2. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

    Text Solution

    |

  3. If alpha,beta,gamma are such that alpha+beta+gamma=2,""alpha^2+beta^2+...

    Text Solution

    |

  4. If z=3/(2+costheta+"isin"theta) then locus of z is straight line a c...

    Text Solution

    |

  5. If z=x +i y such that |z+1|=|z-1| and arg((z-1)/(z+1))=pi/4 , then fin...

    Text Solution

    |

  6. If x y=2(x+y),xlt=y and x ,y in N , then the number of solutions of t...

    Text Solution

    |

  7. If I m((z-1)/(e^(thetai))+(e^(thetai))/(z-1))=0 , then find the locus ...

    Text Solution

    |

  8. If pa n dq are distinct prime numbers, then the number of distinct im...

    Text Solution

    |

  9. The number of real solutions of the equation (9//10)^x=-3+x-x^2 is a. ...

    Text Solution

    |

  10. What is locus of z if |z-1-sin^(-1)(1/sqrt3)|+|z+cos^(-1)(1/sqrt3)-p...

    Text Solution

    |

  11. If |z-2-i|=|z|sin(pi/4-a r g z)| , where i=sqrt(-1) ,then locus of z,...

    Text Solution

    |

  12. The number of integral values of a for which the quadratic equation (x...

    Text Solution

    |

  13. omega is an imaginary root of unity. Prove that (i) ( a + bomeg...

    Text Solution

    |

  14. If z is a complex number having least absolute value and |z-2+2i|=1,th...

    Text Solution

    |

  15. If the equation cot^4x-2cos e c^2x+a^2=0 has at least one solution, t...

    Text Solution

    |

  16. Which of the following is equal to root(3)(-1) a. (sqrt(3)+sqrt(-1))/...

    Text Solution

    |

  17. omega is an imaginary root of unity. Prove that (a+bomega+comega^2)^3+...

    Text Solution

    |

  18. The number of real solutions of |x|+2sqrt(5-4x-x^2)=16 is/are a. 6 ...

    Text Solution

    |

  19. If |z-1| + |z + 3| le 8, then prove that z lies on the circle.

    Text Solution

    |

  20. If z1a n dz2 are the complex roots of the equation (x-3)^3+1=0,t h e n...

    Text Solution

    |