RS Aggarwal Class 11 Solutions includes the overall critical problem-solving strategies needed to build a strong foundation in mathematics for all candidates who wish to pursue professional courses after their board. The syllabus included in the RS Aggarwal Class 11 book strictly follows the NCERT syllabus and provides overall guidance to the student on the competitive front.
The solution of RS Aggarwal Class 11 syllabus includes several important subjects which are an integral part of the entire higher level mathematics which are not only important for Class 11 exams but are also fundamental for engineering entrance exams like JEE.
All chapters created by Class 11 math textbooks are included as detailed step-by-step solutions and all unresolved questions are logically solved by Class 11 math textbooks. An in-depth understanding of RS Aggarwal Solutions for Class 11 facilitates the preparation of an intuitive and effective board exam and even assists in the study of various engineering and medical competitive examinations, all its fundamental chapters at the tip of their fingers. Are described at.
RS Aggawal Class 11 Maths Solutions Chapter Wise –
Chapter 2 – Relations Solutions
Chapter 3 – Functions Solutions
Chapter 4 – Principle of Mathematical Induction Solutions
Chapter 5 – Complex Numbers and Quadratic Equations Solutions
Chapter 6 – Linear Inequations (In one variable) Solutions
Chapter 7 – Linear Inequations (In two variables) Solutions
Chapter 8 – Permutations Solutions
Chapter 9 – Combinations Solutions
Chapter 10 – Binomial Theorem Solutions
Chapter 11 – Arithmetic Progression Solutions
Chapter 12 – Geometrical Progression Solutions
Chapter 13 – Some Special Series Solutions
Chapter 14 – Measurement of Angles Solutions
Chapter 15 – Trigonometric, or Circular, Functions Solutions
Chapter 16 – Conditional Identities Involving the Angles of a Triangle Solutions
Chapter 17 – Trigonometric Equations Solutions
Chapter 18 – Solution of Triangles Solutions
Chapter 19 – Graphs of Trigonometric Functions Solutions
Chapter 20 – Straight Lines Solutions
Chapter 22 – Parabola Solutions
Chapter 23 – Ellipse Solutions
Chapter 24 – Hyperbola Solutions
Chapter 25 – Applications of Conic Sections Solutions
Chapter 26 – Three-Dimensional Geometry Solutions
Chapter 28 – Differentiation Solutions
Chapter 29 – Mathematical Reasoning Solutions
Chapter 1: Sets
The RS Aggarwal Solutions Class 11 Chapter 1 gives an in depth concept about the representation of sets and kinds of sets. The relation between the sets is additionally highlighted with an introduction to subsets, power set and universal set. Operations of sets like union, intersection, disjoint sets, difference, the complement of set etc represent the main conceptual a part of the chapter. the answer effectively showcases the implementation of algebraic laws like Idempotent Law, Identity Law etc on sets.
Chapter 2: Relations
The main focus during this chapter is that the establishment of relation or inverse relation between two sets and evaluation of the standards for the connection to be a function. Equality of ordered pairs and cartesian products of two sets are important concepts that are coherently explained in RS Aggarwal Solutions Class 11 Chapter 2.
Chapter 3: Functions
The chapter introduces the various sorts of functions which are real-valued function, polynomial function, rational, modulus, greatest integer, and fractional part functions with proper logical sequence. Operations on functions like subtraction, multiplication etc. are vividly explained within the solution.
Chapter 4: Principle of Mathematical Induction
With the assistance of mathematical induction, different cases are often worked upon and evaluated for observations. The RS Aggarwal Solutions Class 11 Chapter 2 introduces the tactic of compilation from a group of facts. a good range of statements are often determined to research the feasibility of the case. to organize for this chapter it’s important to possess a transparent concept of the inductive hypothesis that assumes the trueness of a press release .
Chapter 5: Complex Numbers and Quadratic Equations
The basis of this chapter lies within the introduction to imaginary numbers, integral powers of IOTA and sophisticated numbers. The RS Aggarwal Solutions for sophistication 11 Chapter 5 efficiently explains the algebraic operations on complex numbers like multiplication, addition, conjugate, modulus etc. Geometrical and polar representation of complex numbers alongside the character of roots of quadratic equations is additionally explained clearly within the solutions.
Chapter 6: Linear Inequations (In One Variable)
The concept of inequality is introduced during this chapter. the answer focuses on solving linear inequalities in one variable, representation of the answer of a linear inequality in one variable on variety line and graphical representation of the answer .
Chapter 7: Linear Inequations (In Two Variables)
Similar to the previous chapter, the representation and solution of inequality with two variables numerically also as through graphs is highlighted during this chapter.
Chapter 8: Permutations
This chapter introduces the elemental principles of counting. the answer gives detailed ideas about factorial, permutation, properties of permutation and application of permutational counting in real-life scenarios.
Chapter 9: Combinations
The RS Aggarwal Solutions Class 11 Chapter 9 guides you thru the appliance of factorial within the principle of combination.
Chapter 10: Binomial theorem
This chapter helps to know the evaluation of the expression consisting of two terms joined by + or – which will be raised to a particular power that determines the amount of observations.
Chapter 11 – Arithmetic Progression
Chapter 11 introduces the calculation of a progressive series in which the difference of two consecutive terms is constant. Properties and therefore the sum of such terms also are highlighted.
Chapter 12 – Geometrical Progression
In this chapter 12 calculation, properties, sum, and means of a progressive series in which the ratio between two consecutive terms is constant.
Chapter 13 – Some Special Series
In this chapter 13 the sum of the square of first n natural numbers, and the sum of cube of first n natural numbers. These solutions present us with the series with special formulae derived from the chapter.
Chapter 14 – Measurement of Angles
This chapter contains an exercise supported angles, systems of measurement of angles i.e. Sexagesimal system, Centesimal system and circular system and therefore the relation between these systems. The relation between degrees, radians and real numbers also are included.
Chapter 15 – Trigonometric, or Circular, Functions
Trigonometric functions of a true number, values of trigonometric functions, trigonometric identities, signs of trigonometric functions are the idea of the chapter. Variations in values of trigonometric functions in several quadrants and allied angles including periodic, even and odd functions are well explained within the solution.
Chapter 16 – Conditional Identities Involving the Angles of a Triangle
As trigonometric identities are true for all admissible values of the angle involved, The chapter and solutions affect such identities.
Chapter 17 – Trigonometric Equations
This chapter makes highlights the important definitions of trigonometric terminologies, general solutions of trigonometric equations, and also general solutions of trigonometric equations in specific forms.
Chapter 18 – Solution of Triangles
With the assistance of rules like sine, cosine, projection and Napier’s analogy, this chapter defines trigonometric ratios within the sort of solutions for general triangles and right-angled triangles.
Chapter 19 – Graphs of Trigonometric Functions
The solution represents the graphs of the sine, cosine, tangent, cosecant, cotangent, and secant function as explained within the chapter.
It is an important chapter from analytic geometry that teaches about slope, intercepts and different sorts of the equation of a line . transformation of general equations in several standard forms including point of intersection, condition of concurrency of three lines, the space of some extent from a line area of a parallelogram are comprehensively explained within the solutions.
The prime highlights are equations of a circle, special cases, general equations of a circle, and the diameter sort of a circle.
Analytical definition of a conic with a special note on the overall equation of a conic (when its focus, directrix and eccentricity is known), the equation of a parabola and its application are given here.
The standard sort of the equation of an ellipse, consideration of second focus, and second directrix are represented. Properties like vertices, major and minor axes, foci, directrices, center, ordinate, double ordinate, latus-rectum, and focal distances of some extent on the ellipse are important concepts.
This chapter teaches the quality equation of hyperbola and its various elements like eccentricity, latus-rectum, focal distances of some extent, and conjugate hyperbola.
Chapter 25 – Applications of Conic Sections
In this chapter, the scholars study the applications of varied conic sections sort of a parabola, hyperbola etc. whose properties have already been determined within the previous chapters.
Chapter 26 – Three-Dimensional Geometry
This chapter highlights the essential ideas of coordinate three-dimensional geometry like coordinates of some extent in space, signs of coordinates of some extent, distance formula, and section formulae.
The solution comprehends evaluation of left and right-hand limits, algebra of limits, indeterminate forms, and evaluation of limits, evaluation of trigonometric limits, and evaluation of exponential and logarithmic limits.
Chapter 28 – Differentiation Solutions
Physical and geometrical interpretation of derivative at some extent and derivative of a function, differentiation from first principles, and fundamental rules for differentiation are introduced during this chapter
Chapter 29 – Mathematical Reasoning
The evaluation of mathematical reasoning is predicated on the negation of a press release, compound statements, basic connectives, quantifiers, implications, and validity of statements
Chapter 30 – Statistics Solutions
Statistics deals with measures of dispersion like range, mean deviation from the mean, discrete grouped or ungrouped data, variance, variance, and analysis of distribution.
Chapter 31 – Probability Solutions
The concepts of random experiments, sample spaces, and event determine the answer of the chapter that represents algebra of events, sorts of events, axiomatic approach to probability, and addition theorems on probability
Taking the exam point of view, it’s difficult to attain handsome marks by simply scourging through the pages of the chapter. Students should go with the theorems, concepts, and formulas and their respective implementation. so as to realize such high efficiency and enhance problem-solving skills, the R S Aggarwal Class 11 Solutions for mathematics is that the best resource possible. Class 11th RS Aggarwal Solutions not only strengthens the students’ foundation within the subject but also provides them with the right tips and tricks to succeed in to the conclusion at a really high speed. All chapters that are present within the book are solved logically step-by-step in RS Aggarwal solutions class 11, so on facilitate an efficient board exam preparation that further aid in preparing for several engineering and medical competitive examinations. With such high-quality solutions at the tip of their fingers, the scholars needn’t invest overtime within the pandemonium of last-minute revision.
There are certain simple ideas that the scholars must abide by for a comprehensive and powerful preparation so as to succeed in the height of success within the examination:-