z₃ - z₄ is located in Quadrant 1, the correct option is A.
The numbers that can be expressed in the form of a + ib are called Complex numbers, i is called the iota, whose value is equal to the square root of -1.
These are imaginary numbers.
The complex numbers are
z₁ = 5
z₂ = -6i
z₃ = 3i +z₁
z₃ = 3i + 5
z₄ = z₂ - 2
z₄ = -6i -2
The mathematical operations in all the complex numbers are performed similarly in real numbers,
The like terms are grouped together.
The subtraction of the complex numbers has to be determined.
z₃ - z₄ = ( 3i + 5) - ( -6i -2)
z₃ - z₄ = 3i +6i +5 +2
z₃ - z₄ = 9i +7
The constant and the imaginary term depict the x and y coordinate respectively.
As both the terms are positive, it lies in Quadrant 1.
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