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

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

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

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.

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.

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

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

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

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

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