Find the real numbers `x and y ,` if `(x-i y)i` is the conjugate of `5-3 i`

Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-24i.

Find the real numbers x and y if (x-iy) (3+5i) is the conjugate of -6 - 24 i .

Find the real values of x and y for which the following equation is satisfied: ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i

Find real value of x and y for which the complex numbers -3+i x^2y and x^2+y+4i are conjugate of each other.

Find the area bounded by x=2y-y^2 and the y-a x i s .

Find the values of x and y (real) for which the following equation is satisfied ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i

The real values of x and y for which the complex numbers 9y^(2)-4- 10 x i and 8y^(2) +20i^(7) are conjugate to each other are-

If x and y are real numbers and (x-5)^(2)+(x-y)^(2)=0 , then find the value of x and y.

State with reason whether the statements given below is negation of each other : (i) The relation xy=yx is true for every real number x and y . (ii) There exists real numbers x and y for which the relation xy = y x is not true .