Complex number (5 + 17i) will lie in the 1st quadrant.
If a complex number (5 + 17i) is graphed on the complex plane, real part is drawn on x-axis and the imaginary part of the number on y-axis.
For a complex number (a + bi),
- If a and b are positive, number will lie in the first quadrant.
- If a is negative and b is positive, number will lie in 2nd quadrant.
- If a and b both are negative, number will lie in 3rd quadrant.
- If a is positive and b is negative, number will lie in 4th quadrant.
Complex number given in the question → (5 + 17i)
Here, a = 5 and b = 17
Since, a and b both are positive, complex number will lie in 1st quadrant.
Therefore, (5 + 17i) will lie in 1st quadrant.
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