JEE Questions for Maths Complex Numbers Quiz 5

0%
Hyperbola
0%
Parabola
0%
Ellipse
0%
Straight line

If z = x + iy and |z - 2 + i| = |z - 3 - i|, then locus of z is

0%
2x + 4y - 5 = 0
0%
2x - 4y - 5 = 0
0%
x + 2y = 0
0%
x - 2y + 5 = 0

If |z² – 1| = |z|² + 1, then z lies on

0%
An ellipse
0%
The imaginary axis
0%
A circle
0%
The real axis

The equation |z – 5i| ÷ |z + 5i| = 12, where z = x + iy, represents a/an

0%
Circle
0%
Ellipse
0%
Parabola
0%
None of these

The number of solutions for the equations |z – 1| = |z – 2| = |z – i| is

0%
One solution
0%
3 solutions
0%
2 solutions
0%
No solution

If a = cos θ + i sin θ, then
Maths-Complex Numbers-14882.png

0%
i cot θ/2
0%
i tan θ/2
0%
i cos θ/2
0%
i cosec θ/2

If z₁ , z₂ ,.., z_n are complex numbers such that |Z₁|= |z₂|=......=|z_n|= 1 , then |z₁+ z₂ +......+ z_n| is equal to

0%
|z1+ z2 +z3......+ zn|
0%
|z1|+| z2| +|z3|......+ |zn|
0%
0%
n
0%
√n

The conjugate of a complex number is
Maths-Complex Numbers-14885.png

0%
0%
2)
0%
0%

In which quadrant of the complex plane, the point
Maths-Complex Numbers-14891.png

0%
Fourth
0%
First
0%
Second
0%
Third

0%
A = 4 B = 5 C=3 D = 2
0%
A = 4 B =1 C=2 D = 6
0%
A = 6 B = 5 C=2 D=3
0%
A = 4 B=1 C=2 D =3

If z = x + iy is a variable complex number such that,
Maths-Complex Numbers-14895.png

0%
x2 - y2 - 2x = 1
0%
x2 + y2 - 2x = 1
0%
x2 + y2 - 2x = 1
0%
x2 + y2 + 2x = 1

If ω = e^i2π/3 and a, b, c, x, y, z are non-zero complex numbers such that a + bω + cω² = y, a + bω² + cω = z.Then, the value of
Maths-Complex Numbers-14897.png

0%
2
0%
3
0%
1
0%
4

If (cos θ + i sinθ )(cos 2θ + i sin 2θ)...(cos nθ + i sin nθ) = 1, then the value of is

0%
0%
4mπ
0%
0%

The value of the expression
Maths-Complex Numbers-14903.png

0%
0%
2)
0%
0%
None of these

The value of
Maths-Complex Numbers-14908.png

0%
1
0%
- 1
0%
- i
0%
i

If z ≠ 1 and z²/(z - 1)is real, then the point represented by the complex number z lies

0%
either on the real axis or on a circle passing through the origin
0%
on a circle with centre at the origin
0%
either on the real axis or on a circle not passing through the origin
0%
on the imaginary axis

The shaded region, where P = (-1, 0), Q = (-1 + √2, √R = (-1 + √2, -√2), S = (1,is represented by
Maths-Complex Numbers-14911.png

0%
|z + 1| > 2, arg (z +< π/4
0%
|z + 1| < 2, arg (z +< π/4
0%
|z - 1| > 2, arg (z +> π/4
0%
|z - 1| < 2, arg (z +> π/4

0%
π/2
0%
π/6
0%
2π/3
0%
5π/6

0%
10π/3
0%
20π/3
0%
16π/3
0%
32π/3

0%
1
0%
–1
0%
i
0%
–i

0%
0
0%
1
0%
2
0%
3

The cube roots of unity lie on the circle

0%
| z | = 1
0%
| z − 1 | = 1
0%
| z + 1 | = 1
0%
| z − ω| = 1

If ω( ≠is a cube root of unity and (1 + ω)⁷ = A + Bω, then A and B are respectively

0%
0, 1
0%
1, 1
0%
1, 0
0%
−1, 1

Let z and ω be two non−zero complex numbers such that | z | = | ω | and Arg z + Arg ω = π, then z equals :

0%
ω
0%
− ω
0%
0%

0%
0
0%
1
0%
i
0%
ω

If ω is an imaginary cube root of unity, then (1 + ω − ω²)⁷ equals

0%
128 ω
0%
− 128 ω
0%
128 ω2
0%
− 128 ω2

0%
− 1
0%
1
0%
− i
0%
i

0%
equal to 1
0%
less than 1
0%
greater than 3
0%
equal to 3

0%
of area zero
0%
right angled isosceles
0%
equilateral
0%
obtuse angled isosceles

0%
0%
2)
0%
0%

0%
4
0%
–4
0%
5
0%
–5

0%
–1
0%
0
0%
1
0%
None

0%
0%
2)
0%
0%

0%
(3,1)
0%
(3, –1)
0%
(–3, 1)
0%
(–3, –1)

0%
0%
2)
0%
0%

0%
1
0%
–1
0%
2
0%
–2

0%
[–2, 13]
0%
[0, 13]
0%
[2, 13]
0%
[–13, 2]

0%
1
0%
0
0%
–1
0%
w

0%
0%
2)
0%
0%

0%
2
0%
–1
0%
1
0%
–2

0%
0%
2)
0%
0%

0%
Circle
0%
An ellipse
0%
Parabola
0%
A straight line

0%
18
0%
54
0%
6
0%
12

0%
0%
2
0%
0%

0%
0%
2)
0%
0%

0%
4
0%
8
0%
2
0%
12

0%
0%
2)
0%
0%
None of these

0%
0
0%
1
0%
2
0%

0%
0%
2)
0%
0%

0%
–2i
0%
2
0%
0
0%
–2

JEE Questions for Maths Complex Numbers Quiz 5 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

JEE Questions for Maths Complex Numbers Quiz 5 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

Support mcqexams.com by disabling your adblocker.