Complex Numbers Test

Result

Complex Numbers Test - 69

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Weekly Quiz Competition

Question 1
4 / -1

If three complex number are in A.P., then they lie on

A
A circle in the complex plane

B
A straight line in the complex plane

C
A parabola in the complex plane

D
None of the above

Solution
Question 2
4 / -1

If a and b are real numbers between 0 and 1 such that the points z₁ = a + i, z₂ = 1 + bi and z₃ = 0 form an equilateral triangle ,then

A

B

C

D
None of these

Solution
Question 3
4 / -1

A
48

B
32

C
40

D
80

Solution
Question 4
4 / -1

A
A line not passing through the origin

B

C
The x-axis

D
The y-axis

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

The vertices B and D of a parallelogram are 1 - 2i and 4 + 2i. If the diagonals are at right angles and AC = 2BD, the complex number representing A is

A

B

C
3i - 4

D
3i + 4

Solution
Question 7
4 / -1

ABCD is a rhombus . Its diagonals AC and BD intersect at the point M and satisfy BD = 2AC. If points D and M respectively. then A represents the complex number

A

B

C

D
None of these

Solution
Question 8
4 / -1

The complex nu,mbers z₁, z₂, z₃ are the vertices of a triangle. Then, the complex numbers z which make the triangle into a parallelogram is

A
z₁ + z₂ – z₃

B
z₁ – z₂ + z₃

C
z₂ + z₃ – z₁

D
All of these

Solution
Question 9
4 / -1

A rectangle is constructed in the complex plane with its sides parallel to the axes and its centre is situated as the origin. If one of the vertices of the rectangle is a +ib√3, then the area of the rectangle is

A

B

C

D

Solution
Question 10
4 / -1

If the points P₁ and P₂ represents two complex numbers z₁ and z₂, then the point P₃ represents the number

A
z₁ + z₂

B
z₁ – z₂

C
z₁ × z₂

D
z₁ ÷ z₂

Solution