If `(1-ialpha)/(1+ialpha)=A+iB` then `A^2+B^2` is equal to

If a +ib = ((x+i)^(2))/(2x-1) then a^(2)+b^(2) is equal to

If 13 e^(i tan^(-1)(5//12))= a+ib , then |a| + |b| is equal to ____________.

If (1+i)(1+2i)(1+3i)…...(1+ni) = a+ib , then 2.5.10…....(1+n^2) is equal to

If e^(ialpha)=cosalpha+isinalpha , then for the DeltaABC , the value of e^((iA)/2)e^((iB)/2)e^((iC)/2)=

If (1+isqrt3)^9 = a+ib , then value of b is equal to

Suppose, a, b, c ge 0, c ne 1, a^(2) + b^(2) + c^(2) = c . If |(a+ib)/(2-c)| = (1)/(2) , then c is equal to ____________.

If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1 , then A^(-1) is equal to

If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1 , then A^(-1) is equal to

If A=[(a+ib,c+id),(-c+id,a-ib)] and a^(2)+b^(2)+c^(2)+d^(2)=1 , then A^(-1) is equal to

if (a+ib^((1)/(3))=x+iy then (a)/(x)+(b)/(y) is equal to