If `sqrt(x+i y)=+-(a+i b),` then find`sqrt( x-i ydot)`

If (x+iy)(3-4i) = 5+12i , then sqrt(x^2+y^2) =

If sqrt(a+i b)=x+i y ,\ then possible value of sqrt(a-i b) is a. x^2+y^2 b. sqrt(x^2+y^2) c. x+i y d. x-i y e. sqrt(x^2-y^2)

If sqrt(a+i b)=x+i y , then a possible value of sqrt(a-i b) is

If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2 .

If x=2i, y=-4, z=3i, and i=sqrt(-1) , then sqrt(x^(3)yz)=

For all x > 0 , which of the following expressions is equivalent to i/(sqrt(x) - i) , where i = sqrt(-1) ?

Find the values of x and y if : (x+iy)(1+i)=1-i where i=sqrt(-1)

If x+i y=(-1+i sqrt(3))^(2010) , then x=

If x+i y=sqrt((a+i b)/(c+i d)) then (x^(2)+y^(2))^(2)=

The complex numbrs x and y such that x,x+2y,2x+y are n A.P. and (y+1)^2, xy+5, (x+1)^2 are in G.P. are (A) x=3, y=1 (B) x=-1+2sqrt(2)i, y=1/3 (-1+2sqrt(2)i) (C) x=sqrt(2)+i, y=3sqrt(5)-sqrt(2)i (D) x=-1(1+2sqrt(2)i), y= - 1/3 (1+2sqrt(2)i)