Home
Class 12
MATHS
ifomegaa n domega^2 are the nonreal cube...

if`omegaa n domega^2` are the nonreal cube roots of unity and `[1//(a+omega)]+[1//(b+omega)]+[1//(c+omega)]=2omega^2` and `[1//(a+omega)^2]+[1//(b+omega)^2]+[1//(c+omega)^2]=2omega^` , then find the value of `[1//(a+1)]+[1//(b+1)]+[1//(c+1)]dot`

A

-2

B

-1

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise EXAMPLE|10 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise EXAMPLE(Single integer answer type questions)|1 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If omega is a cube root of unity and (1+omega)^7=A+Bomega then find the values of A and B

If omega = z//[z-(1//3)i] and |omega| = 1 , then find the locus of z.

If omegane1 is the complex cube root of unity and matix H = {:[(omega,0),(0,omega)] , then H^70 is equal to

If omega is cube root of unity, then a root of the equation |(x + 1,omega, omega^2),(omega, x + omega , 1),(omega^2 , 1, x + omega)| = 0 is

If omega ne 1 and omega^3=1 , then : (a omega+b+c omega^2)/(a omega^2+b omega+c) + (a omega^2+b+c omega)/(a+b omega+c omega^2) is equal to :

If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …upto 2n is factors, is

If omega = (-1+sqrt3i)/2 , find the value of |(1, omega, omega^2),(omega, omega^2, 1),(omega^2, 1 , omega)|

If 1,omega,omega^(2),...omega^(n-1) are n, nth roots of unity, find the value of (9-omega)(9-omega^(2))...(9-omega^(n-1)).

If the cube roots of unity are 1,omega,omega^2, then the roots of the equation (x-1)^3+8=0 are

Sum the series : 1(2-omega)(2-omega^(2))+2(3-omega)(3-omega^(2))......(n-1)(n-omega)(n-omega^(2)) where omega and omega^(2) are non-real cube roots of unity.