If x,y are and `(3+ix^(2)y)` is conjugate of the complex quantity `(x^(2)+y+i4)`, find x and y.

If 3+i x^(2) y and x^(2)+y+4 i are conjugate complex numbers then x^(2)+y=

If x, y real and (x-3i) and (-2+iy) are conjugate of each other, find x and y.

If -3+ix^2y and x^(2)+y+4i are conjugate complex numbers , then x =

If x,y are real and (y^(2)x-5i) and {4+i(x+y^(2))} are conjugate to each other find x and y

If 3ix^(2)y and x^(2)+y+4i are conjugate complex numbers then x^(2)+y^(2)=(i)1(ii)2 (iii) 3 (iv) 4

Suppose x, y in R . If x^(2) + y + 4i is conjugate of -3 + x^(2) yi , then maximum possible value of (|x| + |y|)^(2) is equal to _____________.

Show that the lines 2x+3y + 11 =0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2) + y^(2) + 4x+ 6y +12 = 0

Show thet the lines 2x+3y + 11 =0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2) + y^(2) + 4x+ 6y +12 = 0

If x,y in R and x^2+y+4i and -3+x^2yi are conjugates to each other, then (abs(x)+abs(y))^2 =