Consider the following statements :

1.(ω¹⁰ + 1)⁷ + ω = 0

2.(ω¹⁰⁵ + 1)¹⁰ = p¹⁰ for some prime number p
where ω is a cubic root of unity. Which of the above statements is/are correct ?

Mathematics 2012 NDA Mathematics 2012 NDA 2012

Options