NCERT

Permuatioan is introduced in class 11 maths chapter 6 in the NCERT textbooks. Permutations refers to method of arranging a set of objects in an specific order. One very important thing to note is that Order matters while calculating the permutations for a set of objects.
For example, arranging 3 colours A, B, and C in a flag gives 6 different permutations (ABC, ACB, BAC, BCA, CAB, CBA).

Students can check our NCERT Solutions for better idea of permutations and combinatiopn for a set of objects.

NCERT Solutions are prepared, keeping in mind all kind of students. We have used lucid language to make these solutions student-friendly. The step-by-step solutions helps students understand abstract math concepts step-wise. Students will learn problem solving technique by breaking down problems into smaller, logical steps, so that even average students can build confidence and gradually improve their performance.

NCERT Textbooks includes the question which requires solution to be represented in coordinate plane. Our NCERT Solutions include clear, visual explanations of how to graph linear inequalities on the Cartesian plane. Students can learn how to shade the correct half-plane based on the inequality sign and how to determine whether the boundary line should be solid or dotted. Students can take help of our well designed NCERT Solutions provided on our pages to get ahead in the race of competition.

NCERT Solutions for Linear Inequalities provide step-by-step explanations to all exercise questions in Chapter 5 of Class 11 Maths. Here are few point how it benefits students;

• NCERT Solutions help students learn how to solve inequalities systematically using algebraic methods.

• NCERT Solutions explain how to graph inequalities on both a number line and the coordinate plane.

• Students gain a clear understanding of how to interpret solution sets, whether in one variable or two.

• Our NCERT Solutions are designed to make complex ideas easier to understand, helping students develop logical reasoning and build strong mathematical clarity.

The chapter Linear Inequalities is an important part of the Class 11 CBSE Maths syllabus. Linear Inequalities carry a weightage of approximately 6–8 marks in the CBSE annual exam. Students must know that this is a high-scoring chapter because the questions are usually straightforward and concept-based.

Linear Inequalities helps students solve inequalities algebraically and represent them graphically, which is essential for understanding real-world problems with constraints. It also builds the foundation for Linear Programming in Class 12, a major application topic for class 12 boards.

Linear Inequality is indexed as chapter 5 in the CBSE class 11 mathematics. A linear inequality is an expression that shows the relationship between two algebraic expressions using inequality symbols like <, >? , or? , instead of an equal sign. For example,

$2x + 3 < 7 \quad \text {or} \quad 3x - 4 \geq 5$

The highest power of the variable in linear inequalities, is 1, and they graph as straight lines on the coordinate plane (with shaded regions showing the inequality). Linear inequalities are used in many ways such as to find many range of possible values, solve optimization problems, and computer science.

Trigonometric ratios are mathematical relationships between the angles and sides of a right-angled triangle. The primary trigonometric ratios are sine, cosine, and tangent, The Trigonometric formulas

• sin (? ) = Perpendicular/ Hypotenuse

• cos (? ) = Base / Hypotenuse

• tan (? ) = Perpendicular  / Base

There are several real life applications of trigonometric functions such as  in Architecture & Engineering,  Astronomy & Navigation,  Aviation and Construction.

Students have confusions understanding the difference between the real and imaginary number and how they form complex number. Well here is the simple explaination, Real numbers include all the rational and irrational numbers such as 0, 1,2.78, 9.9999. etc. while imaginary numbers involve i, the square root of –1. A combination of both real and imaginary number forms a complex number. for example; 3 + 4.