If `z=i log(2-sqrt3),` then a. `cosz=-1` b. `(-1)/2` c. `1` d. `1/2`

If z=(1)/((1-i)(2+3i)), then |z| is a.1 b.(1)/(sqrt(26)) c.(5)/(sqrt(26))d .non of these

If z_(1)=1+i,z_(2)=sqrt(3)+i then arg((z_(1))/(z_(2)))^(50) is

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

If z=(1)/((2+3i)^(2)), then |z| is a.(1)/(13) b.(1)/(5) c.(1)/(12)d .non of these

If z=(1+2i)/(1-(1-i)^(2)), then arg (z) equals a.0 b.(pi)/(2) c.pi d .non of these

1/((log)_(sqrt(b c))a b c)+1/((log)_(sqrt(c a))a b c)+1/((log)_(sqrt(a b))a b c) has the value of equal to: a.1//2 b. 1 c.2 d. 4

If z+sqrt(2)|z+1|+i=0 , then z= (A) 2+i (B) 2-i (C) -2-i (D) -2+i

If iz^(3)+z^(2)-z+i=0, where i=sqrt(-1) then |z| is equal to 1 (b) (1)/(2)(c)(1)/(4) (d) None of these

If A = 1/ sqrt(3) [[1,1+i],[1-i,1]] then A(bar(A)^T) equals : a. O b. I c. -I d. 2I

If z^2=-i then is it true that z=+1/sqrt2 (1-i)