JEE Questions for Maths Complex Numbers Quiz 15 - MCQExams.com

Given that | z − 1 | = 1, where z is a point on the Argand plane. Then

0%
0%
2)
0%
0%
none of these

Maths-Complex Numbers-16906.png

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

Maths-Complex Numbers-16908.png

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

Maths-Complex Numbers-16910.png

0%
0%
2)
0%
0%
none of these

Maths-Complex Numbers-16915.png

0%
z lies only on a circle
0%
z lies only on the real axis
0%
z lies either on the real axis or on a circle
0%
none of these

If z satisfies | z − 1| < | z + 3 |, then ω = 2z + 3 − i satisfies

0%
| ω − 5 − i | < | ω + 3 + i |
0%
|ω − 5| < |ω + 3| and Re (ω) > 1
0%
Im (iω) < 1
0%
|arg (ω −| < π/2

Maths-Complex Numbers-16918.png

0%
0%
ω2
0%
2ω2
0%
3ω2

Maths-Complex Numbers-16921.png

0%
0%
2)
0%
0%

Maths-Complex Numbers-16927.png

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

Maths-Complex Numbers-16929.png

0%
0%
2)
0%
0%
none of these

Maths-Complex Numbers-16934.png

0%
0%
2)
0%
0%
none of these

The common roots of the equation z³ + 2z² + 2z + 1 = 0 and z¹⁹⁸⁵ + z¹⁰⁰ + 1 = 0 are

0%
1, ω
0%
1, ω2
0%
ω, ω2
0%
none of these

Let z be a root of x⁵ − 1 = 0, with z ≠ 1 Then the value of z¹⁵+ z¹⁶ + z¹⁷ +....+ z⁵⁰ is equal to :

0%
1
0%
2
0%
ω
0%
none of these

Maths-Complex Numbers-16941.png

0%
0%
2)
0%
0%
none of these

The cube roots of unity

0%
are collinear
0%
lie on a circle of radius √3
0%
form an equilateral triangle
0%
none of these

Maths-Complex Numbers-16947.png

0%
0
0%
1
0%
−1
0%
none of these

Maths-Complex Numbers-16949.png

0%
| z | = 5
0%
| z | < 5
0%
| z | > 5
0%
none of these

If | z − 3 + 2i | ≤ 4, then the sum of least and greatest value of |z| is

0%
0%
2)
0%
0%

Maths-Complex Numbers-16956.png

0%
− 1
0%
i
0%
0
0%
none of these

The solution of the equation 2z = | z | + 2i is

0%
0%
2)
0%
0%
none of these

Maths-Complex Numbers-16962.png

0%
0%
2)
0%
0%

Maths-Complex Numbers-16968.png

0%
0%
2)
0%
0%
none of these

Maths-Complex Numbers-16973.png

0%
0%
2)
0%
0%
none of these

Maths-Complex Numbers-16978.png

0%
− 1
0%
1
0%
0
0%

Maths-Complex Numbers-16981.png

0%
1 or i
0%
i or − i
0%
1 or − 1
0%
i or − 1

Maths-Complex Numbers-16983.png

0%
n1 = n2 + 1
0%
n1 = n2 − 1
0%
n1 = n2
0%
n1 > 0, n2 > 0

Maths-Complex Numbers-16985.png

0%
i
0%
i − 1
0%
− i
0%
0

Maths-Complex Numbers-16987.png

0%
0%
2)
0%
0%

Maths-Complex Numbers-16993.png

0%
3ω
0%
3ω( ω − 1)
0%
3ω2
0%
3ω (1 − ω)

For all complex numbers z₁, z₂ satisfying |z₁| = 12 and |z₂ − 3 − 4i | = 5, the minimum value of | z₁ − z₂ | is

0%
0
0%
2
0%
7
0%
0.7

Maths-Complex Numbers-16996.png

0%
Clockwise rotation around origin through an angle α.
0%
Anticlockwise rotation around origin through an angle α
0%
Reflection in the line through origin with slope tan α
0%
Reflection in the line through origin with slope tan α/2

Maths-Complex Numbers-16998.png

0%
0%
2)
0%
0%
0

Maths-Complex Numbers-17003.png

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

The centre of a regular polygon of n sides is located at the point z = 0 and one of its vertex z₁ is known . If z₂ be the vertex adjacent to z₁, then z₂ is equal to

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

If z₁, z₂ , z₃, z₄ are affixes of four points in the Argand plane and z is the affix of a point such that |z - z₁| = |z - z₂| = |z - z₃|=|z - z₄|, z₁, z₂, z₃, z₄ are

0%
Concyclic
0%
Vertices of a parallelogram
0%
Vertices of a rhombus
0%
In a straight line

Maths-Complex Numbers-17013.png

0%
0%
2)
0%
1
0%
–1

PQ and PR are two infinite rays. QAR is an arc. Point lying in the shaded excluding the boundary satisfies
Maths-Complex Numbers-17017.png

Maths-Complex Numbers-17017.png

0%
0%
2)
0%
0%

Maths-Complex Numbers-17023.png

0%
0%
2)
0%
0%

Maths-Complex Numbers-17029.png

0%
6 + 7i
0%
–7 + 6i
0%
7 + 6i
0%
–6 + 7i

Maths-Complex Numbers-17031.png

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

0:0:1

Answered

Not Answered

Not Visited

Correct : 0

Incorrect : 0

Practice Maths Quiz Questions and Answers