Question
What is the real part of the number \(15 + 2i\)
This question was previously asked in
RRB ALP/Technician 2018 CBT 2 Electronics Mechanic Question Paper (23-Jan-2019) (Shift 1)
The correct answer is
15
Real Part of Complex Numbers
A complex number is typically written in the form \(a + bi\), where \(a\) represents the real part and \(b\) represents the imaginary part. The imaginary unit \(i\) is defined as the square root of -1.
Identifying the Real Part
For the given complex number \(15 + 2i\):
- The term without \(i\) is the real part.
- The term multiplied by \(i\) is the imaginary part.
In \(15 + 2i\), the real part is 15.
The imaginary part is 2.
Therefore, the real part of the number \(15 + 2i\) is 15.
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Important Questions from Complex Numbers
- Consider the following complex numbers
$$ z_1 = r_1(\cos \theta_1 + i \, \sin \theta_1) $$
$$ z_2 = r_2(\cos \theta_2 + i \, \sin \theta_2) $$
where $r_1, r_2$ are real numbers, $0 \leq \theta_1 \leq \frac{\pi}{2}$, $0 \leq \theta_2 \leq \frac{\pi}{2}$, and $i = \sqrt{-1}$
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If Z = 1 + i, where i = √-1, then what is the modulus of \(\rm z+\frac{2}{z}?\)
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