Tangents And Normals

To find the values of x and y in the equation , we can equate the real and imaginary parts on both sides of the equation.
Equating the real parts:
3x = 6
Dividing both sides by 3, we get:
x = 2
Equating the imaginary parts:

Multiplying both sides by -i, we get:

Substituting the value of x from the first equation, we have:


Subtracting 8 from both sides, we get:

Dividing both sides by -1, we get:
y = 9
Therefore, the values of x and y in the equation are x = 2 and y = 9 (option B).