1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there $$2\sqrt 2 $$ units in the south-westwardsdirection. Then its new position in the Argand plane is at the point represented by :
A
2 + 2i
B
1 + i
C
$$-$$1 $$-$$ i
D
$$-$$2 $$-$$2i
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A value of $$\theta \,$$ for which $${{2 + 3i\sin \theta \,} \over {1 - 2i\,\,\sin \,\theta \,}}$$ is purely imaginary, is :
A
$${\sin ^{ - 1}}\left( {{{\sqrt 3 } \over 4}} \right)$$
B
$${\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)\,$$
C
$${\pi \over 3}$$
D
$${\pi \over 6}$$
3
JEE Main 2015 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A complex number z is said to be unimodular if $$\,\left| z \right| = 1$$. Suppose $${z_1}$$ and $${z_2}$$ are complex numbers such that $${{{z_1} - 2{z_2}} \over {2 - {z_1}\overline {{z_2}} }}$$ is unimodular and $${z_2}$$ is not unimodular. Then the point $${z_1}$$ lies on a :
A
circle of radius 2.
B
circle of radius $${\sqrt 2 }$$.
C
straight line parallel to x-axis
D
straight line parallel to y-axis.
4
JEE Main 2014 (Offline)
MCQ (Single Correct Answer)
+4
-1
If z is a complex number such that $$\,\left| z \right| \ge 2\,$$, then the minimum value of $$\,\,\left| {z + {1 \over 2}} \right|$$ :
A
is strictly greater that $${{5 \over 2}}$$
B
is strictly greater that $${{3 \over 2}}$$ but less than $${{5 \over 2}}$$
C
is equal to $${{5 \over 2}}$$
D
lie in the interval (1, 2)
JEE Main Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12