1
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
If $$\omega \,\left( { \ne 1} \right)$$ is a cube root of unity and $${\left( {1 + \omega } \right)^7} = A + B\,\omega $$ then $$A$$ and $$B$$ are respectively
A
0, 1
B
1, 1
C
1, 0
D
-1, 1
2
IIT-JEE 1995 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$z$$ and $$\omega $$ be two non zero complex numbers such that
$$\left| z \right| = \left| \omega \right|$$ and $${\rm A}rg\,z + {\rm A}rg\,\omega = \pi ,$$ then $$z$$ equals
A
$$\omega $$
B
$$ - \omega $$
C
$$\overline \omega $$
D
$$ - \overline \omega $$
3
IIT-JEE 1992
MCQ (Single Correct Answer)
+2
-0.5
$${\rm{z }} \ne {\rm{0}}$$ is a complex number

Column I


(A) Re z = 0
(B) Arg $$z = {\pi \over 4}$$

Column II


(p) Re$${z^2}$$ = 0
(q) Im$${z^2}$$ = 0
(r) Re$${z^2}$$ = Im$${z^2}$$
A
(A) - q, (B) - p
B
(A) - p, (B) - q
C
(A) - r, (B) - p
D
(A) - p, (B) - r
4
IIT-JEE 1985
MCQ (Single Correct Answer)
+2
-0.5
If $$a,\,b,\,c$$ and $$u,\,v,\,w$$ are complex numbers representing the vertics of two triangles such that $$c = \left( {1 - r} \right)a + rb$$ and $$w = \left( {1 - r} \right)u + rv,$$ where $$w = \left( {1 - r} \right)u + rv,$$ is a complex number, then the two triangles
A
have the same area
B
are similar
C
are congruent
D
none of these
JEE Advanced 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