Complex Numbers Test

Result

Complex Numbers Test - 73

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Weekly Quiz Competition

Question 1
4 / -1

If the amplitude of z – 2 – 3i is π/4, then the locus of z = x + iy is

A
x + y – 1 = 0

B
x – y – 1 = 0

C
x + y + 1 = 0

D
x – y + 1 = 0

Solution
Question 2
4 / -1

A
z will be at imaginary axis

B
z will be at real axis

C
z will be at unity circle

D
None of the above

Solution
Question 3
4 / -1

A
A straight line

B
A circle

C
A parabola

D
An ellipse

Solution
Question 4
4 / -1

A
A straight line

B
A parabola

C
An ellipse

D
A circle

Solution
Question 5
4 / -1

If |8 + z| + |z - 8| = 16, where z is a complex number, then the point z will lie on

A
A circle

B
An ellipse

C
A straight line

D
None of the above

Solution
Question 6
4 / -1

Which of the following equations can represent a triangle

A
|z – 1| = |z – 2|

B
|z – 1| = |z – 2| = |z – i|

C
|z – 1| – |z – 2| = 2a

D
|z – 1|² + |z – 2|² = 4

Solution
Question 7
4 / -1

The points representing the complex number z, for which |z – a|² + |z + a|² = b² lie on

A
A straight line

B
A circle

C
A parabola

D
A hyperbola

Solution
Question 8
4 / -1

A and B are two points on the Argand plane such that the segment AB is bisected at the point (0, 0). If the point A, which is in the third quadrant has principle amplitude 0, then the principle amplitude of the point B is

A
– θ

B
π – θ

C
θ – π

D
π + θ

Solution
Question 9
4 / -1

A
Circle

B
Pair of lines

C
Parabola

D
Hyperbola

Solution
Question 10
4 / -1

A
A finite set

B
An infinite set

C
An empty set

D
None of these

Solution