# NCERT Solutions For Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 5 |

Exercise | Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3 |

Number of Questions Solved |

## NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Ex 5.3

**NCERT TEXTBOOK EXERCISES**

**Ex 5.3 Class 11 MathsÂ Question 1.**

x^{2}Â + 3 = 0**Solution.**

We have, x^{2}Â + 3 = 0 â‡’ x^{2}Â = -3

â‡’Â $x=\pm \sqrt { -3 }$Â â‡’ x =Â $\pm \sqrt { 3 } i$

**Ex 5.3 Class 11 Maths Question 2.**

2x^{2} + x + 1 = 0**Solution.**

We have, 2x^{2} + x + 1 = 0

Comparing the given equation with the general form ax^{2} + bx + c = 0, we get

**Ex 5.3 Class 11 Maths Question 3.**

x^{2} + 3x + 9 = 0**Solution.**

We have, x^{2} + 3x + 9 = 0

Comparing the given equation with the general form ax^{2} + bx + c = 0,we get a = 1, b = 3, c = 9

**Ex 5.3 Class 11 Maths Question 4.**

-x^{2} + x â€“ 2 = 0**Solution.**

We have, -x^{2} + x â€“ 2 = 0

Comparing the given equation with the general form ax^{2} + bx + c = 0,we get

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

**Ex 5.3 Class 11 Maths Question 5.**

x^{2} + 3x + 5 = 0**Solution.**

We have, x^{2} + 3x + 5 = 0

Comparing the given equation with the general form ax^{2} + bx + c = 0, we get a = 1, b = 3, c = 5.

**Ex 5.3 Class 11 Maths Question 6.**

x^{2} â€“ x + 2 = 0**Solution.**

We have, x^{2} â€“ x + 2 = 0

Comparing the given equation with the general form ax^{2} + bx + c = 0, we get a = 1, b = -1, c = 2.

**Ex 5.3 Class 11 MathsÂ Question 7.**

$\sqrt { 2 } { x }^{ 2 }+x+\sqrt { 2 } =0$**Solution.**

We have,Â $\sqrt { 2 } { x }^{ 2 }+x+\sqrt { 2 } =0$

Comparing the given equation with the general form ax^{2}Â + bx + c = 0, we get

**Ex 5.3 Class 11 MathsÂ Question 8.**

$\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+3\sqrt { 3 } =0$**Solution.**

We have,Â $\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+3\sqrt { 3 } =0$

Comparing the given equation with the general form ax^{2}Â + bx + c = 0, we get

**Ex 5.3 Class 11 MathsÂ Question 9.$\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+3\sqrt { 3 } =0$**

**Solution.**

We have,Â $\sqrt { 3 } { x }^{ 2 }+\sqrt { 2 } x+3\sqrt { 3 } =0$

Comparing the given equation with the general form ax^{2}Â + bx + c = 0, we get

**Ex 5.3 Class 11 MathsÂ Question 10.${ x }^{ 2 }+x+\frac { 1 }{ \sqrt { 2 } } =0$**

**Solution.**

We have,Â ${ x }^{ 2 }+x+\frac { 1 }{ \sqrt { 2 } } =0$

Comparing the given equation with the general form ax^{2}Â + bx + c = 0, we get

## NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3 PDF

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