WB JEE 2009 | Complex Numbers Question 9 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The modulus of $${{1 - i} \over {3 + i}} + {{4i} \over 5}$$ is

$$\sqrt 5 $$ unit

$${{\sqrt {11} } \over 5}$$ unit

$${{\sqrt 5 } \over 5}$$ unit

$${{\sqrt {12} } \over 5}$$ unit

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

For any complex number z, the minimum value of $$|z| + |z - 1|$$ is

$$-$$1

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If $$z = {4 \over {1 - i}}$$, then $$\overline z $$ is (where $$\overline z $$ is complex conjugate of z)

2(1 + i)

(1 + i)

$${2 \over {1 - i}}$$

$${4 \over {1 + i}}$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If $$ - \pi < \arg (z) < - {\pi \over 2}$$, then $$\arg \overline z - \arg ( - \overline z )$$ is

$$\pi$$

$$-$$ $$\pi$$

$${\pi \over 2}$$

$$ - {\pi \over 2}$$

WB JEE Subjects