`( 1 + i ) ^2` is equal to

If z = (sqrt(3+i))/2 (where i = sqrt(-1) ) then (z^101 + i^103)^105 is equal to

If i=sqrt(-1) , then (i^(n)+i^(-n), n in Z) is equal to

If i=sqrt(-1) , then (i^(n)+i^(-n), n in Z) is equal to

if z = (sqrt 3 ) /(2) + (i)/(2) ( i=sqrt ( -1) ) , then ( 1 + iz + z^5 + iz^8)^9 is equal to:

If sum_(i=1)^200 sin^-1 x_i=100pi, then sum _(i=1)^200 x_i^2 is equal to

If I _(n)=int _(0)^(pi) (sin (2nx))/(sin 2x)dx, then the value of I _( n +(1)/(2)) is equal to (n in I) :

Let f (x ) = | 3 - | 2- | x- 1 |||, AA x in R be not differentiable at x _ 1 , x _ 2 , x _ 3, ….x_ n , then sum _ (i= 1 ) ^( n ) x _ i^2 equal to :

If i = root -1 ,then 1+i ^2+i ^3−i ^6+i ^8 is equal to -

(1+i)^(4)+(1-i)^( 4) is equal to