Correct Answer - Option 1 : -3
Concept:
Let z = x + iy be a complex number, Where x is called the real part of the complex number or Re (z) and y is called the Imaginary part of the complex number or Im (z)
- Condition for purely real: Imaginary part equal to zero.
- Condition for purely imaginary: Real part equal to zero.
Calculation:
The given expression 2i3 - 3ai2 - (1 + a)i can be simplified as:
= 2(-i) - 3a(-1) - (1 + a)i
= -2i + 3a - i - ai
= 3a - (a + 3)i
For the expression to be real, the imaginary part must be zero.
i.e. a + 3 = 0
⇒ a = -3.
