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1
JEE Main 2022 (Online) 29th June Evening Shift
MCQ (Single Correct Answer)  +4  -1
English
Hindi

Let arg(z) represent the principal argument of the complex number z. Then, |z| = 3 and arg(z $$-$$ 1) $$-$$ arg(z + 1) = $${\pi \over 4}$$ intersect

A
exactly at one point.
B
exactly at two points.
C
nowhere.
D
at infinitely many points.
2
JEE Main 2022 (Online) 29th June Morning Shift
MCQ (Single Correct Answer)  +4  -1
English
Hindi

Let $$\alpha$$ and $$\beta$$ be the roots of the equation x2 + (2i $$-$$ 1) = 0. Then, the value of |$$\alpha$$8 + $$\beta$$8| is equal to:

A
50
B
250
C
1250
D
1500
3
JEE Main 2022 (Online) 27th June Evening Shift
MCQ (Single Correct Answer)  +4  -1
English
Hindi

The number of points of intersection of

$$|z - (4 + 3i)| = 2$$ and $$|z| + |z - 4| = 6$$, z $$\in$$ C, is

A
0
B
1
C
2
D
3
4
JEE Main 2022 (Online) 27th June Morning Shift
MCQ (Single Correct Answer)  +4  -1
English
Hindi

The area of the polygon, whose vertices are the non-real roots of the equation $$\overline z = i{z^2}$$ is :

A
$${{3\sqrt 3 } \over 4}$$
B
$${{3\sqrt 3 } \over 2}$$
C
$${3 \over 2}$$
D
$${3 \over 4}$$
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