If is non real cube root of unity then, the value of (1+ - ^ 2 )^ 2 + (1- + ^ 2 )^ 2 is…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(\omega\) is non real cube root of unity then, the value of \(\left(1+\omega-\omega^{2}\right)^{2}+\left(1-\omega+\omega^{2}\right)^{2}\) is equal to :
- \(2\)
- \(0\)
- \(-4\)
- \(6\)
Answer
(A) 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If 3 p^ 2 =5 p+2 and 3 q^ 2 =5 q+2 where p ≠ q, then the equation whose roots are 3 p-2 q and 3 q-2 p is
- Let x = -1+i 3 2 if a=(1+a) _ k=a ^ 1010 a^ 2 k and b= _ k=m ^ 10 m ^ 3 k then a and b are the roots of the…
- If α and β are the roots of the quadratic equations, x^ 2 +x -2 =0, (0, 2 ) , then a ^ 12 + ^ 12 ( a ^ -12 +…
- If α, β are the roots of the equation x 2 – p (x + 1) –c =0, then (α + 1) (β + 1) =
- If for real a, b, c, d,(a+i b)^ [+i d is real, then it is equal to :
- If 7 and r are the roots of the equation p x^ 2 +q x+r=0 , then
- The number of complex numbers z such that | z – 1| = | z + 1 | = | z – i | equals
- If the equation (a^ 2 +4 a+3 ) x^ 2 + (a^ 2 -a-2 ) x+a(a+1)=0 has more than two roots, then value of a is
More Complex Numbers and Quadratic Equations questions · Browse all practice questions