## Chapter 5 Complex Numbers and Quadratic Equations Solutions – NCERT Class 11 Mathematics

Exercise 5.1 Express each of the complex numbers given in the Exercises 1 to 10 in the form a + ib As (5i)(- 3i/5) just simplifies to 3 which is just a Real…

## Miscellaneous Exercise Complex Numbers and Quadratic Equations – NCERT Class 11 Mathematics Chapter 5

1. Evaluate [i18 + (1/i)25]3 Let’s simplify this equation 2. For any two complex numbers z1 and z2, prove that Re(z1 z2) = Re(z1) Re(z2) – Im(z1) Im(z2) Let’s suppose thatz1 = a…

## Exercise 5.3 Solutions Complex Numbers and Quadratic Equations – NCERT Class 11 Mathematics Chapter 5

Solve each of the following equations: 1. x2 + 3 = 0 x2 + 3 = 0 x2 = – 3 x = ± √-3 This can be rewritten as followingx = ±…

## Exercise 5.2 Solutions Complex Numbers and Quadratic Equations – NCERT Class 11 Mathematics Chapter 5

Find the modulus and the arguments of each of the complex numbers in Exercises 1 to 2. 1. z = – 1 – i √3 Any Complex Number of form z = a…

## Exercise 5.1 Question Number 14 – Class 11 Maths NCERT Solution

14. Express the following expression in the form of a + ib : (3 + i√5)(3 – i√5)/[(√3 + √2i) – (√3 – i√2)] Thus (3 + i√5)(3 – i√5)/[(√3 + √2i) –…

## Exercise 5.1 Question Number 13 – Class 11 Maths NCERT Solution

13. – i Multiplicative Inverse of any Complex Number of form a + ib is equals to 1/a + ib⇒ Multiplicative inverse of – i is equals to 1/- i Thus Multiplicative Inverse…

## Exercise 5.1 Question Number 12 – Class 11 Maths NCERT Solution

12. √5 + 3i Multiplicative Inverse of any Complex Number of form a + ib is equals to 1/a + ib⇒ Multiplicative inverse of √5 + 3i is equals to 1/(√5 + 3i)…

## Exercise 5.1 Question Number 11 – Class 11 Maths NCERT Solution

11. 4 – 3i Multiplicative Inverse of any Complex Number of form a + ib is equals to 1/a + ib⇒ Multiplicative inverse of 4 – 3i is equals to 1/4 – 3i…