`"Let "z=(sqrt(3)/2)-(i/2)" Then the smallest positive integer n such that "(z^(95)+i^(67))^(94)=z^(n)" is (A)12 (B)10 (C)9 (D) 2"`

Let z=(sqrt3/2)-(i/2) then the smallest positive integer n such that (z^(95)+i^(67))^(94)=z^n is

Let z=(sqrt3/2)-(i/2) then the smallest positive integer n such that (z^(95)+i^(67))^(94)=z^n is

If z = 1/2 (sqrt(3) - i) and the least positive integral value of n such that (z^(101) +i^(109))^(106) = z^(n) is k, then the value of 2/5 k is equal to

The smallest positive integer n for which ((1-i)/(1+i))^(n^(2)) = 1 where i=sqrt(-1) , is

The least positive integer n such that ((2i)^n)/((1-i)^(n-2)),i=sqrt(-1) , is a positive integer,is ______

If z=2-i sqrt(3) then z^(4)-4z^(2)+8z+35 is (A) 6(B)0(C)1 (D) 2

Match the following : {:("Column - I" , "Column - II"),("(A) The smallest positive integer for which" (1 +i)^(n)=(1-i)^(n)" is " , "(p) 1"),("(B) If " root3(a+ib) =x +iy and b/y -a/x = k (x^(2) +y^(2)) " then k is equal to " , "(p) -3 " ),("(C) If " x=(1+i)/sqrt2 ", then the value of "1 +x^(2)+x^(4)+x^(6)+x^(8)+x^(10)+....+ x^(2004)+x^(2006) +x^(2008), "(r) 2"),("(D) If the minimum value of " |z+1+i|+|z-1-i|+|2-z|+|3-z| " is k then (k-8) equals " ,"(s)4 "):}

If a is a positive integer,z=a+2i and z|z|-az+1=0 then

What is the value of z^(2)+(bar(z))^(2)+2|z|^(2), if z=3+2i?(A)36(B)81+12i(C)39(D)40+12i