The sum and product of two complex numbers are real if and only if they are conjugate of each other.

The complex numbers sin x - icos 2x and cos x - isin 2x are conjugate to each other for

The complex number sin x+i cos2x and cos-i sin2x are conjugate to each other when

The complex numbers sin x + i cos 2x and cos x - i sin 2x are conjugate to each other, for

Find real values of x and y for which the complex numbers -5 + ix^(2)y and x^(2) + y + 35 i are conjugate of each other .

Find real values of x and y for which the complex numbers 7 + ix^(2)y and x^(2) + y + 18i are conjugate of each other.

Find real values of x and y for which the complex numbers -5 + ix^(2)y and x^(2) + y + 35 i are conjugate of each other .

Find real values of x and y for which the complex numbers 7 + ix^(2)y and x^(2) + y + 18i are conjugate of each other.

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.