" (iy) "2x^(2)+x+4=0

If x, y, a, b in R, a ne 0 and (a + ib) (x + iy) = (a^(2) + b^(2))i , then (x, y) equals

If (x - iy) ^(1//3) = a - ib, then show that (x)/(a) + (y)/(b) = 4 ( a ^(2) - b ^(2)).

If (x+iy)^(3) = u + iy , then show that u/x + v/y = 4(x^(2)-y^(2))

If (x+iy)^(3) = u + iy , then show that u/x + v/y = 4(x^(2)-y^(2))

If 1/ (m+i n) - (x-iy)/(x+iy) =0, where x,y,m,n are real and x+iy!=0 and m+i n!=0 , prove that m^2+n^2=1 .

If 1/ (m+i n) - (x-iy)/(x+iy) =0, where x,y,m,n are real and x+iy!=0 and m+i n!=0 , prove that m^2+n^2=1 .

Multiplicative inverse of x+ iy is O (x-iy)/(x^(2)+y^(2)) O (x+iy)/(x^(2)+y^(2)) O (x-iy)/(x^(2)-y^(2)) O (x+iy)/(x^(2)-y^(2))

The multiplicative inverse of non-zero complex z=x+iy is (x-iy)/(x^(2)-y^(2)) (x-iy)/(x^(2)+y^(2)) (x+iy)/(x^(2)+y^(2)) (-x+iy)/(x^(2)+y^(2))