SATHEE: Complex Numbers 2 Question 25

Complex Numbers 2 Question 25

26.

$min_{z \in s} | 1 - 3 i - z |$ is equal to

(a) $\frac{2 - \sqrt{3}}{2}$

(b) $\frac{2 + \sqrt{3}}{2}$

(d) $\frac{3 + \sqrt{3}}{2}$

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Answer:

Correct Answer: 26. (c)

Solution:

$min_{Z \in} | 1 - 3 i - z | =$ perpendicular distance of point $(1, - 3)$

from the line $\sqrt{3} x + y = 0 \Rightarrow \frac{| \sqrt{3} - 3 |}{\sqrt{3 + 1}} = \frac{3 - \sqrt{3}}{2}$

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Complex Numbers 2 Question 25

26.

Answer:

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