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

Complex Numbers and Quadratic Equations Class 11 Maths NCERT Solutions

NCERT Solutions for Class 11 Maths, Chapter 5: Complex Numbers and Quadratic Equations, are highly valuable for completing your homework. These solutions, covering all exercises, have been prepared by experienced teachers at www.manabadi.co.in.

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: