Complex Numbers Test

Result

Complex Numbers Test - 71

Score
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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
Question 2
4 / -1

If z₁, z₂, z₃ are affixes of the vertices A,B and C respectively of a triangle ABC having centroid at G such that z = 0 is the mid point of AG, then

A
z₁ + z₂ + z₃ = 0

B
z₁ + 4z₂ + z₃ = 0

C
z₁ + z₂ + 4z₃ = 0

D
4z₁ + z₂ + z₃ = 0

Solution
Question 3
4 / -1

A
z₁, z₂ are collinear

B
z₁, z₂ and the origin form a right angled triangle

C
z₁, z₂ and the origin from an equilateral triangle

D
None of these

Solution
Question 4
4 / -1

If the area of the triangle formed by the points z, z + iz and iz on the complex plane is 18, then the value of |z| is

A
6

B
9

C
3√2

D
2√3

Solution
Question 5
4 / -1

Which one of the following statement is true

A

B

C

D
Question 6
4 / -1

The area of triangle whose vertices are represented by the complex numbers 0, z, ze^iα, (0 < α < π) equals

A

B

C

D

Solution
Question 7
4 / -1

If z₁ = 1 + 2i, z₂ = 2 + 3i, z₃ = 3 + 4i, then z₁, z₂, z₃ represents the vertices of a / an

A
Equilateral triangle

B
Isosceles triangle

C
Right angled triangle

D
None of these

Solution
Question 8
4 / -1

A
Real axis

B
The line y = 5

C
A circle passing through the origin

D
None of these

Solution
Question 9
4 / -1

A

B

C
Straight line

D
Parabola

Solution
Question 10
4 / -1

A
x - axis

B
y - axis

C
The straight line x = a

D
None of these

Solution