If `= (a^(2) + 1)^(2)/(2a-i)=x+iy," then when is the value of " x^(2)+y^(2)`?

" "(1+i)^(2)/(2-i)= x+ iy, "then find the value of x+y" .

" "(1+i)^(2)/(2-i)= x+ iy, "then find the value of x+y" .

If ((a^2+1)/(2a-i))^2=x+i y , find the value of x^2+y^2dot

When x=4 and y=2 find the value of : x^(2)+2

When x=4 and y=2 find the value of : x^(2)-2xy+y^(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 x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2 .

If y=int1/(1+x^2)^(3/2)dx and y=0 when x=0 , then value of y when x=1 is