NCERT Solutions for Complex Numbers and Quadratic Equations Exercise 5.3 Class 11 Maths

September 13, 202239 Insightful Publications

**NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities:** The NCERT solutions for Class 11 Maths are great study material for students. The NCERT Class 11 Maths Solutions by Embibe are based on the latest syllabus by CBSE. These solutions by Embibe help students understand the concepts easily. Moreover, Embibe also helps students learn the correct method to solve exam questions.

Embibe provides NCERT Solutions online to help students with their studies. Apart from the NCERT Solutions, Embibe also provides 400+ practice questions. These practice questions increase students’ knowledge and are available for free. Embibe also offers free mock tests, learning videos, and more on its platform. Visit Embibe while studying to learn more.

Embibe’s solutions for Class 11 Maths Chapter 6 thoroughly explain the key concepts related to Linear Inequalities. In this chapter, students will solve the linear inequalities problems consisting of one and two variables. Therefore, students can clear their doubts by referring to these NCERT Solutions for Class 11 Maths.

Students can start practicing these concepts by watching the Embibe Exemplar videos. After watching the videos, students must go through the books available on Embibe. Besides, all the study material on Embibe are available for free. So, students must check them out. Now, let us look at the important topics covered under this chapter:

Units | Topics |
---|---|

6.1 | Introduction |

6.2 | Inequalities |

6.3 | Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation |

6.4 | Graphical Solution of Linear Inequalities in Two variables |

6.5 | Solution of System of Linear Inequalities in Two Variables |

While studying, the important points to remember from Class 11 Maths Chapter 6 are as follows:

- Subtraction Rule of Linear Inequalities:
- If x > y, then x − z > y − z
- If x< y, then x − z < y − z

- Multiplication Rule of Linear Inequalities:
- If x> y and z > 0, then xz > yz
- If x<y and z > 0, then xz < yz

- Division Rule of Linear Inequalities:
- If x > y and z > 0, then x/z > y/z
- If x < y and z > 0, then x/z < y/z

- The common region of the coordinate plane must be reached while solving a system of linear equations in two variables graphically.
- Addition Rule of Linear Inequalities: If x > y ,then x + z > y+z and if x < y, then x + z < y + z.

The NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:

**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: **Embibe provides 400+ practice questions for Class 11 Maths Chapter 6. Therefore, students must practice these questions from Embibe for free.

**Ans: **Class 11 Maths Chapter 6 is about Linear Inequalities and its concepts. Therefore, students must refer to Embibe to understand these concepts.

**Ans: **Yes, students can take the mock tests for Class 11 Maths for free on Embibe. Therefore, students in Class 11 can sign up for Embibe and take the mock test.

**Ans.** All the NCERT Solutions provided by Embibe are available for free.

**Ans**: There are 65 questions in four exercises in the NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities.

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