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NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 are part of NCERT Solutions for Class 11 Maths. Here we have given NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3.

  • Complex Numbers and Quadratic Equations Class 11 Ex 5.1
  • Complex Numbers and Quadratic Equations Class 11 Ex 5.2
Board CBSE
Textbook NCERT
Class Class 11
Subject Maths
Chapter Chapter 5
Chapter Name Complex Numbers and Quadratic Equations
Exercise Ex 5.3
Number of Questions Solved 10
Category NCERT Solutions

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3

Solve each of the following equations:
Ex 5.3 Class 11 Maths Question 1.
x2 + 3 = 0
Solution.
We have, x2 + 3 = 0 ⇒ x2 = -3
⇒ \(x=\pm \sqrt { -3 } \) ⇒ x = \(\pm \sqrt { 3 } i\)

Ex 5.3 Class 11 Maths Question 2.
2x2 + x + 1 = 0
Solution.
We have, 2x2 + x + 1 = 0
Comparing the given equation with the general form ax2 + bx + c = 0, we get
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 1

Ex 5.3 Class 11 Maths Question 3.
x2 + 3x + 9 = 0
Solution.
We have, x2 + 3x + 9 = 0
Comparing the given equation with the general form ax2 + bx + c = 0,we get a = 1, b = 3, c = 9
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 2

Ex 5.3 Class 11 Maths Question 4.
-x2 + x – 2 = 0
Solution.
We have, -x2 + x – 2 = 0
Comparing the given equation with the general form ax2 + bx + c = 0,we get
a = 1, b = 1, c = -2
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 3

Ex 5.3 Class 11 Maths Question 5.
x2 + 3x + 5 = 0
Solution.
We have, x2 + 3x + 5 = 0
Comparing the given equation with the general form ax2 + bx + c = 0, we get a = 1, b = 3, c = 5.
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 4

Ex 5.3 Class 11 Maths Question 6.
x2 – x + 2 = 0
Solution.
We have, x2 – x + 2 = 0
Comparing the given equation with the general form ax2 + bx + c = 0, we get a = 1, b = -1, c = 2.
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 5

Ex 5.3 Class 11 Maths Question 7.
\(\sqrt { 2 } { x }^{ 2 }+x+\sqrt { 2 } =0\)
Solution.
We have, \(\sqrt { 2 } { x }^{ 2 }+x+\sqrt { 2 } =0\)
Comparing the given equation with the general form ax2 + bx + c = 0, we get
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 6

Ex 5.3 Class 11 Maths Question 8.
\(\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+3\sqrt { 3 } =0\)
Solution.
We have, \(\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+3\sqrt { 3 } =0\)
Comparing the given equation with the general form ax2 + bx + c = 0, we get
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 7

Ex 5.3 Class 11 Maths Question 9.
\({ x }^{ 2 }+x+\frac { 1 }{ \sqrt { 2 } } =0\)
Solution.
We have, \({ x }^{ 2 }+x+\frac { 1 }{ \sqrt { 2 } } =0\)
Comparing the given equation with the general form ax2 + bx + c = 0, we get
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 8

Ex 5.3 Class 11 Maths Question 10.
\({ x }^{ 2 }+\frac { x }{ \sqrt { 2 } } +1=0\)
Solution.
We have, \({ x }^{ 2 }+\frac { x }{ \sqrt { 2 } } +1=0\)
Comparing the given equation with the general form ax2 + bx + c = 0, we get
NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 9

We hope the NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3 help you. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3, drop a comment below and we will get back to you at the earliest.

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