If `(x-3)/(3+i)+(y-3)/(3-i)=i` where `x,y in R` then

Finid the vlues of x and y if: (i) (x+iy)(1+i)=1-i (ii) ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i , where i=sqrt(-1) .

Find the values of x and y , if (3y -2) + (5 -4x)i=0 , where , x y in R.

Let (-2 -1/3 i)^3=(x+iy)/27 (i= sqrt(-1)) where x and y are real numbers then y-x equals

If (x^(4)+2x i)-(3x^(2)+yi)=(3-5i)+(1+2yi) then the number of ordered pairs (x, y) is/are equal to {AA x,y in R and i^(2)=-1}

(a) Write the conjugates of the following: (i) 3+i (ii) 3-i (iii) -sqrt(5)-sqrt(7)i (iv) -sqrt(5)i (v) (4)/(5) (vi) 49-(i)/(7) (vii) (1-i)/(1+i) (viii) (1+i)^(2) (ix) (2+5i)^(2) (x) (-2-(1)/(3)i)^(3) (b) Find the real number x and y if: (i) (x-iy)(3+5i) is the conjugate of -6-24 i (ii) -3+ix^(2)y and x^(2)+y+4i are congugate of each other.