If `x=a+bi` is a complex number such that `x^2=3+4i and x^3=2+11i`, where `i=sqrt-1`, then `(a+b)` equal to

Let z be a complex number such that |z| + z = 3 + i (Where i=sqrt(-1)) Then ,|z| is equal to

Let z = x + iy be a non - zero complex number such that z^(2) = I |z|^(2) , where I = sqrt(-1) then z lies on the :

If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1), then Im (z) equals to

If (x+iy)^(1//3)=a+ib,"where"i=sqrt(-1),then ((x)/(a)+(y)/(b)) is equal to

If the multicative inverse of a comlex number is (sqrt3+4i)\\19, where i=sqrt-1, find the complex number.

If z is a complex number such that |z|=4 and arg(z)=(5 pi)/(6), then z is equal to -2sqrt(3)+2i b.2sqrt(3)+i c.2sqrt(3)-2i d.-sqrt(3)+i

If z complex number satisfying |z-3|<=5 then range of |z+3i| is (where i= sqrt(-1) )

If z=(sqrt(3)-i)/2 , where i=sqrt(-1) , then (i^(101)+z^(101))^(103) equals to

If alpha and beta are the complex roots of the equation (1+i)x^(2)+(1-i)x-2i=o where i=sqrt(-1) , the value of |alpha-beta|^(2) is