Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ 2 D b ac 2 4 2 4 3 3 3 2 36 34 Therefore, the required solutions are b D 2 34 2 34 i 1 i 2a 2 3 2 3 Question 9: Solve the equation Solution 9: x x 0 2 2 1 The given quadratic equation is This equation can also be written as x x 0 2 2 1 On comparing the given equation with 2 2x 2x1 0 2 ax bx c 0 Discriminant 2 D b ac Therefore, the required solutions are 2 , we obtain 4 2 4 2 1 2 4 2 b D 2 2 4 2 2 2 1 2 2 2a 2 2 2 2 2 2 2 2 1 i 1 i 2 2 1 2 2 1 i 2 a 2, b 2, and c 1 Question 10: Solve the equation Solution 10: 2 x x 1 0 2 2 x The given quadratic equation is x 1 0 2

Class XI Chapter 5 – Complex Numbers and Quadratic Equations Maths ______________________________________________________________________________ This equation can also be written as On comparing the given equation with We obtain a 2, b 1, and c 2 Discriminant 2 2 2 2x x 2 0 2 ax bx c 0 , D b 4ac 1 4 2 2 18 7 Therefore, the required solutions are b D 1 7 1 7 i 1 i 2a 2 2 2 2 Miscellaneous Exercise Question 1: Evaluate: i Solution 1: i i 18 1 i 442 25 i i 18 1 3 1 4 4 2 i i 461 i 4 3 1 6 25 i 3 2 1 4 i i 1 i 3 1 i 2 1 i 1 i i i 1 2 i 1 i 3 3 1 3 1 i 3 3 3 1 31 1 3 3 i i i

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Class XI Chapter 2 - Relations and

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Class XI Chapter 3 - Trigonometric

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Class XI Chapter 9 - Sequences and

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Class XI Chapter 12 - Introduction

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Class XI Chapter 12 - Introduction

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Class XI Chapter 12 - Introduction

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Class XI Chapter 13 - Limits and De

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Class XI Chapter 14 - Mathematical

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Class XI Chapter 14 - Mathematical

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Class XI Chapter 14 - Mathematical

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Class XI Chapter 15 - Statistics Ma

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Class XI Chapter 15 - Statistics Ma

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Class XI Chapter 15 - Statistics Ma

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**Magazine:** CLASS_11_MATHS_SOLUTIONS_NCERT

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