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May 3, 201939 Insightful Publications

**Exercise 5.3 Class 11 Maths NCERT Solutions:** In this article, students can find NCERT Solutions for Class 11 Maths Chapter 5 Ex 5.3. At Embibe, our subject matter experts (SMEs) have provided the solution to Complex Numbers and Quadratic Equations in a comprehensive yet easy-to-understand manner.

Our NCERT Solutions will help students gain an in-depth understanding of concepts. Ex 5.3 of the chapter talks about Quadratic Equations, Polynomials, Roots of Quadratic Function etc. Furthermore, they can get over 1000 practice questions from Embibe curated from more than 20 books. So, scroll down and get the Class 11 Maths Ex 5.3 solution.

Chapter 5 of Class 11 Maths deals with Complex Numbers and Quadratic Equations. Ex 5.3 of the chapter is one of the most important exercises as it deals with Quadratic Equations – how to solve them and the roots. This article provides in-text solutions for Ex 5.3 of Class 11 Maths.

Therefore, students can refer to Embibe’s explainers and 3D videos to immerse themselves in a fun and interactive mode of learning. They can even take tests that are personalised according to their level. The table below lists the important topics included in the chapter Complex Numbers and Quadratic Equations.

Exercise No. | Topics |
---|---|

5.1 | Introduction |

5.2 | Complex Numbers |

5.3 | Algebra of Complex Numbers |

5.3.1 | Addition of Two Complex Numbers |

5.3.2 | Difference between Two Complex Numbers |

5.3.3 | Multiplication of Two Complex Numbers |

5.3.4 | Division of Two Complex Numbers |

5.3.5 | Power of i (odd and even) |

5.3.6 | The Square of a negative real number |

5.3.7 | Identities |

5.4 | The Modulus and the Conjugate of a Complex Number |

5.5 | Argand Plane and Polar Representation |

5.5.1 | Polar Representation of a Complex Number |

5.6 | Quadratic Equations |

To help students get a quick summary for Ex 5.3 of Class 11 Maths, we have provided a few points to remember below.

- A quadratic equation cannot have more than two roots.
- If a,b, and c belongs to R and D is a positive and perfect square, then the roots are real and distinct.
- If D= 0, then the roots are real and equal.
- If D > 0 but it is not a perfect square, then roots are irrational and unequal.
- If D< 0, then roots are imaginary

If students are looking for NCERT Solutions for Class 11 Maths, then they can get it from the links below.

**1st Chapter: Sets****2nd Chapter: Relations and Functions****3rd Chapter: Trigonometric Functions****4th Chapter: Principle of Mathematical Induction****5th Chapter: Complex Numbers and Quadratic Equations****6th Chapter: Linear Inequalities****7th Chapter: Permutations and Combinations****8th Chapter: Binomial Theorem****9th Chapter: Sequences and Series****10th Chapter: Straight Lines****11th Chapter: Conic Sections****12th Chapter: Introduction to Three Dimensional Geometry****13th Chapter: Limits and Derivatives****14th Chapter: Mathematical Reasoning****15th Chapter: Statistics****16th Chapter: Probability**

**Ans:** Students can get free NCERT Solutions for Class 11 Maths Chapter 5 Ex 5.3 at Embibe.

**Ans:** In Ex 5.3 of NCERT Class 11 Maths, there are a total of 10 questions.

**Ans:** Questions in Class 11 Maths Exercise 5.3 are asked from the quadratic equations topic.

**Ans:** There are over 1000 practice questions for Class 11 Maths Chapter 5 on Embibe.

**Ans:** Embibe provides 6 books that students can refer to for Class 11 Maths.