Home
Class 11
MATHS
If alpha,beta be the imaginary cube root...

If alpha,beta be the imaginary cube root of unity, then the value of `(alpha^4+alpha^2beta^2+beta^4)`is

A

a)0

B

b)1

C

c)-1

D

d)2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 7

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos
  • MODEL QUESTION PAPERS-SET 9

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos

Similar Questions

Explore conceptually related problems

If alpha , beta be the imaginary cube root of unity, then show that alpha^4+beta^4+ alpha^-1beta^-1=0

IF alpha and beta are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

If alpha,beta are the roots of the quadratic equation x^2+px+q=0 , then the values of alpha^3+beta^3 and alpha^4+alpha^2beta^2+beta^4 are respectively

If alpha, beta be the roots of the equation x^(2)+x+1=0 , the value of alpha^(4)beta^(4)-alpha^(-1)beta^(-1) is

If alpha and beta are the roots of x^2-x+1=0 ,then the value of alpha^(2013)+beta^(2013) is equal to

Given alpha,beta, respectively, the fifth and the fourth non-real roots of units, then find the value of (1+alpha)(1+beta)(1+alpha^2)(1+beta^2)(1+alpha^4)(1+beta^4)

Let alpha ,beta denote the cube roots of unity other than 1 and alpha ne beta let S=underset(n=0)overset302sum(-1)^n(alpha/beta)^n then the value of S is

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 8-EXERCISE
  1. If n (x) = 12, n (Y) = 10 and n (Xcap Y) = 8, then the value of of n(X...

    Text Solution

    |

  2. If alpha,beta be the imaginary cube root of unity, then the value of (...

    Text Solution

    |

  3. In the expansion of(2x^2-3)^7(x+1)^3,the sum of numerical co-efficient...

    Text Solution

    |

  4. If P, 2P + 2, 3P + 3 are in G.P. the 4th term Will be

    Text Solution

    |

  5. Equation of directrix of a parabola 2x^2=3y is

    Text Solution

    |

  6. Equation of a straight line, parallel to x-axis and passes through (0,...

    Text Solution

    |

  7. The derivative of the function f(x) =I x I^3 at x = 0 is

    Text Solution

    |

  8. The value’oflim(xrarr5)|x-5|/(x-5)is

    Text Solution

    |

  9. If P(x)=0.65,P(Y)=0.15,then the value of P(barX)+P(barY)is

    Text Solution

    |

  10. The varience of 1st 20 natural number is

    Text Solution

    |

  11. A and B are two sets, such that n(A) = 30. n(B)= 25 and n(AcupB)=40.c...

    Text Solution

    |

  12. Find the domain for which the function f(x)=3x^2-2xand g(x)=9x-6 are ...

    Text Solution

    |

  13. Simplify: (cos(90^@+theta)sec(-theta)tan(180^@-theta))/(sec(360^@+thet...

    Text Solution

    |

  14. In /\ABC.if cos A=(sinB)/(sinC),then show that the triangle is right a...

    Text Solution

    |

  15. Calculate the modulus of(1+2i)/(2-i)

    Text Solution

    |

  16. The sum of the co-efficient of the expansion of (a^4x^2-2a^2x+1)^101is...

    Text Solution

    |

  17. If ^(2n)C3:^nC3=11:1find the value of n.

    Text Solution

    |

  18. Find the vaue of 9^(1/3)9^(1/9)9^(1/27)...oo

    Text Solution

    |

  19. The co-ordinate of three vertices and centroid of a triangle are (x, ...

    Text Solution

    |

  20. The equation of one arm of a equilateral triangle is x + y = 2 and th...

    Text Solution

    |