## Geometry of Complex Numbers, Rotation Theorem MCQ Basic level

Compared to other sections, mathematics is considered to be the most scoring section. If prepared thoroughly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1.R(z2)=1 is represented by

•  The parabola x2+y2=1
•  The hyperbola x2-y2=1
•  Parabola or a circle
•  All the above

The hyperbola x2-y2=1

Q2. If | z | = 2, then the points representing the complex numbers – 1 + 5z will lie on a

•  Circle
•  Straight line
•  Parabola
•  None of these

Circle

Q3. If z=x+iy and | z – zi | = 1, then

•  z lies on x – axis
•  z lies on y – axis
•  z lies on circle
•  None of these

z lies on circle

Q4. If three complex numbers are in A.P., then they lie on

•  A circle in the complex plane
•  A straight line in the complex plane
•  A parabola in the complex plane
•  None of these

A straight line in the complex plane

Q5. Length of the line segment joining the points – 1 – i and 2 + 3i is

•  -5
•  15
•  5
•  25

5

Q6. 200. If the complex numbers z1,z2,z3 represent the vertices of an equilateral triangle such that |z1|=|z2|=|z3| , then z1+z2+z3 =

•  0
•  1
•  -1
•  None of these

0

Q7. If P, Q, R, S are represented by the complex numbers 4 + i, 1 + 6i, – 4 + 3i, – 1 – 2i respectively, then PQRS is a

•  Rectangle
•  Square
•  Rhombus
•  Parallelogram

Square

Q8. Multiplying a complex numbers by i rotates the vector representing the complex number through an angle of

•  180o
•  90o
•  60o
•  360o

90o

## Want to know more

Please fill in the details below:

## Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING