Home
Class 12
MATHS
Let omega be the imaginary cube root of ...

Let `omega` be the imaginary cube root of unity and `(a+bomega + comega^2)^(2015) =(a+bomega^2 + c omega)` where a,b,c are unequal real numbers . Then the value of `a^2+b^2+c^2-ab-bc-ca` equals.

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-3:COMPREHENSION TYPE PROBLEMS|9 Videos

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-4:MATCHING TYPE PROBLEMS|3 Videos

  • COMPLEX NUMBERS

    VK JAISWAL|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos

  • CIRCLE

    VK JAISWAL|Exercise Exercise - 5 : Subjective Type Problems|13 Videos

  • COMPOUND ANGLES

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|31 Videos

Similar Questions

Explore conceptually related problems

If omega be an imaginary cube root of unity, show that (a+bomega+comega^2)/(aomega+bomega^2+c) = omega^2

If omega is an imaginary cube root of unity, then (1+omega-omega^(2))^(7) equals

If omega is the imaginary cube root of unity, then what is (2-omega+2omega^(2))^(27) equal to ?

If omega (ne 1) is a cube root of unity and (1 + omega^(2))^(11) = a + b omega + c omega^(2) , then (a, b, c) equals

If omega be an imaginary cube root of unity,show that (1+omega-omega^(2))(1-omega+omega^(2))=4

If omega is a cube root of unity, prove that (a+bomega+comega^2)/(c+aomega+bomega^2)=omega^2

If w be imaginary cube root of unity then (1+w-w^(2))^(7) equals:

If omega is an imaginary cube roots of unity such that (2+omega)^2=a+bomega,a,b in R then value of a+b is

omega is an imaginary root of unity.Prove that (a+b omega+c omega^(2))^(3)+(a+b omega^(2)+c omega)^(3)=(2a-b-c)(2b-a-c)(2c-a-b)