NCERT Solutions for class 11 Maths | Chapter 5 - Complex Numbers and Quadratic Equations

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Questions
1 Which of the following is false
A Multiplication of a non-zero complex number by – i rotates the point about origin through a right angle in the anti-clockwise direction
B Multiplication of a non-zero complex number by i rotates it through a right angle in the anti- clockwise direction
C If a complex number coincides with its conjugate, then the number must lie on real axis
D None of the above

Answer:Multiplication of a non-zero complex number by – i rotates the point about origin through a right angle in the anti-clockwise direction
2 Complex Numbers and Quadratic Equations
A 1/3
B 2/3
C 5/3
D -5/3

Answer:5/3
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3 The value of Complex Numbers and Quadratic Equations
A 1
B -1
C 2
D 0

Answer:0
4 Complex number restricted by the below equation will lie on

|z-1| = |z+1|

A Parabola
B Circle
C Ellipse
D Straight line

Answer:Straight line
5 The modules of Complex Numbers and Quadratic Equations
A 25
B 5
C 125
D √5

Answer:125
6 The complex number Complex Numbers and Quadratic Equations in polar form will be

Complex Numbers and Quadratic Equations

A A
B B
C C
D D

Answer:C
7 The amplitude of Complex Numbers and Quadratic Equations
A 2π/5
B π/5
C π/15
D π/10

Answer:π/10
8 Number of solutions of the equation z2+|z|2=0 is
A 0
B 1
C 2
D infinitely many

Answer:infinitely many
9 The principal argument of Complex Numbers and Quadratic Equations is
A π/3
B 2π/3
C π/4
D -π/3

Answer:2π/3
10 Match the column Complex Numbers and Quadratic Equations
A p -> iv, q -> iii, r -> ii, c -> i
B p -> iii, q -> iv, r -> i, c -> ii
C p -> i, q -> iv, r -> ii, c -> iii
D p -> iii, q -> iv, r -> ii, c ->

Answer:p -> iii, q -> iv, r -> ii, c ->
11 The roots of quadratic equation 3x2+7ix+6=0 is
A 3i, 2i/3
B 3i, -2i/3
C -3i, -2i/3
D -3i, 2i/3

Answer:-3i, 2i/3
12 The equation Complex Numbers and Quadratic Equations represents a
A straight line
B circle
C parabola
D hyperbola

Answer:straight line
13 If z is a complex number, then
A |z2|>|z|2
B |z2|=|z|2
C |z2|<|z|2
D |z2|≥|z|2

Answer:|z2|=|z|2
14 The least positive value of n if Complex Numbers and Quadratic Equations
A 2
B 3
C 4
D 8

Answer:4
15 The modulus of -4 is
A 2
B -2
C 4
D -4

Answer:4
16 For all complex numbers z1 , z2 satisfying | z1 | = 12 and | z2 - 3 - 4i | = 5, the minimum value of | z1 - z2 | is
A 0
B 2
C 7
D 17

Answer:2
17 Which one is correct
A 1 + i < 2 + i
B 1 + i > 2 + i
C 1 + i = 2 + i
D one of these

Answer:one of these
18 If |z| < √2 - 1 then |z2 + 2x * cos a| is
A less than 1
B √2 - 1
C √2 + 1
D √2

Answer:less than 1
19 If a = 3 + 2i and b = 2 - 3i, then the value of a * b is
A 12 - 5i
B 12 + 5i
C 5i + 12
D 5i - 12

Answer:12 - 5i
20 If i = √(-1) then 4 + 5(-1/2 + i√3/2)334 + 3(-1/2 + i√3/2)365 is equals to
A 1 - i√3
B -1 + i√3
C i√3
D -i√3

Answer:i√3

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