Home
Class 12
MATHS
If alpha,beta are complex cube roots of ...

If `alpha,beta` are complex cube roots of unity and `x=a+b`, `y=aalpha+bbeta`, `z=abeta+balpha`, then the value of `(x^(3)+y^(3)+z^(3))/(xyz)` is:

A

`ab`

B

`a^(3)+b^(3)`

C

`a^(2)+ab+b^(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|58 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

x+y+z=0 Show that x^(3)+y^(2)+z^(3)=3xyz

If 1, omega, omega^(2) are the three cube roots of unity and alpha, beta, gamma are the cube roots of p, plt0 , then for any x, y, z the expression (x alpha+y beta+z gamma)/(x beta+y gamma+z alpha)=

Factorise the following : 27x^3+y^3+z^3-9xyz

If x,y,z be three positive numbers such that xyz^(2) has the greatest value (1)/(64) , then the value of (1)/(x)+(1)/(y)+(1)/(z) is

If x, y, z are positive integers then value of expression (x+y)(y+z)(z+x) is

If alpha, beta the roots of 8x^(2) - 3x + 27 = 0 , then the value of [ ( (alpha^(2))/(beta))^(1//3) + ((beta^(2))/(alpha))^(1//3) ] is ,

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

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

If alpha, beta, gamma are the roots of x^3+a x^2+b=0 then the value of [[alpha , beta , gamma],[beta , gamma , alpha],[gamma , alpha , beta]] is