NCERT Maths Solutions Class 11th Chapter 5 Complex Numbers and Quadratic Equations

Complex Numbers and Quadratic Equations Class 11 Maths NCERT Solutions are extremely helpful while doing your homework. NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations All Exercises were prepared by Experienced LearnCBSE.in Teachers.

Free download NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.1, Ex 5.2, Ex 5.3 and Miscellaneous Exercise PDF in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20.

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1

Ex 5.1 Class 11 Maths Question 1:

Ex 5.1 Class 11 Maths Question 2:

Ex 5.1 Class 11 Maths Question 3:

Ex 5.1 Class 11 Maths Question 4:

Express the given complex number in the form a + ib: 3(7 + i7) + i(7 + i7)

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.2

Ex 5.2 Class 11 Maths Question 1:

Ex 5.2 Class 11 Maths Question 2:

Ex 5.2 Class 11 Maths Question 3:

Converrt the given complex number in polar form:1 - i

Ex 5.2 Class 11 Maths Question 4:

Converrt the given complex number in polar form: - 1 + i

NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.3

Ex 5.3 Class 11 Maths Question 1:

Solve the equation x² + 3 = 0

Ans:

The given quadratic equation is x² + 3 = 0

On comparing the given equation with ax² + bx + c = 0, we obtain

a = 1, b = 0, and c = 3

Therefore, the discriminant of the given equation is

D = b² - 4ac = 0² - 4 x 1 x 3 = - 12

Therefore, the required solutions are

Ex 5.3 Class 11 Maths Question 2:

Solve the equation 2x² + x + 1 = 0

Ans:

The given quadratic equation is 2x² + x + 1 = 0

On comparing the given equation with ax² + bx + c = 0, we obtain

a = 2, b = 1, and c = 1

Therefore, the discriminant of the given equation is

D = b² - 4ac = 1² - 4 x 2 x 1 = 1 - 8 = - 7

Therefore, the required solutions are

Ex 5.3 Class 11 Maths Question 3:

Solve the equation x² + 3x + 9 = 0

Ans:

The given quadratic equation is x² + 3x + 9 = 0

On comparing the given equation with ax² + bx + c = 0, we obtain

a = 1, b = 3, and c = 9

Therefore, the discriminant of the given equation is

D = b² - 4ac = 3² - 4 x 1 x 9 = 9 - 36 = - 27

Therefore, the required solutions are

Ex 5.3 Class 11 Maths Question 4:

Solve the equation -x² + x + 2 = 0

Ans:

The given quadratic equation is -x² + x + 2 = 0

On comparing the given equation with ax² + bx + c = 0, we obtain

a = -1, b = 1, and c = -2

Therefore, the discriminant of the given equation is

D = b² - 4ac = 1² - 4 x (-1) x (-2) = 1 - 8 = - 7

Therefore, the required solutions are

NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Solutions

Miscellaneous Exercise Class 11 Maths Question 1:

Evaluate

Miscellaneous Exercise Class 11 Maths Question 2:

For any two complex numbers z₁andz₂ prove that

Miscellaneous Exercise Class 11 Maths Question 3:

Miscellaneous Exercise Class 11 Maths Question 4: