Miscellaneous exercise chapter 8 class 11

NCERT Solutions for Class 11 Maths Chapter 2 - Relations and Functions Miscellaneous Exercise Chapter 2, Relations and Functions of Class 11 Maths, is categorised under the CBSE Syllabus for 2023-24. The miscellaneous exercise contains extra questions covering the entire topic in the chapter. The last Exercise of • Cartesian Product of Sets • Relations • Functions • Some functions and their graphs • Algebra of real functions Every student aims to score high marks in their exam. Learn with the help of Download PDF carouselExampleControls112 Previous Next Access other exercise solutions of Class 11 Maths Chapter 2 – Relations and Functions The exercise-wise problems of Access Solutions for Class 11 Maths Chapter 2 Miscellaneous Exercise 1. The relation f is defined by The relation  g is defined by Show that f is a function and  g is not a function. Solution: The given relation f is defined as It is seen that for 0 ≤ x < 3, f( x) = x 2 and for 3 < x ≤ 10, f( x) = 3 x Also, at x = 3 f( x) = 3 2 = 9 or f( x) = 3 × 3 = 9 i.e., at x = 3, f( x) = 9 [Single image] Hence, for 0 ≤ x ≤ 10, the images of f( x) are unique. Therefore, the given relation is a function. Now, In the given relation  g is defined as It is seen that, for x = 2 g( x) = 2 2 = 4 and g( x) = 3 × 2 = 6 Thus, element 2 of the domain of the relation g corresponds to two different images, i.e., 4 and 6. Therefore, this relation is not a function. 2. If f( x) = x 2, fin...

Download Chapter-wise NCERT Solutions for Class 11 Maths The topics covered in the CBSE Class 11 Maths Syllabus are discussed in depth by Class 11 NCERT Maths Solution. To help students obtain a deeper conceptual understanding, it contains thorough explanations of all significant theorems and equations. NCERT Solutions for Class 11 Maths will help students prepare for undergraduate engineering admission exams in 2021-2022, such as Subject experts have produced NCERT Solutions for Class 11 Maths to assist students in understanding concepts more clearly. NCERT Solutions for Class 11 Maths Chapter-wise: • • • • • • • • • • • • • • • • It may be difficult for pupils to understand what is taught in class. To deal with this issue, students should look up information online to clear their doubts. Regular practice of concepts in which they are weak will enhance their confidence in terms of the exam. Students should study the chapter from the NCERT textbook and answer the exercise problems to gain a sound conceptual understanding. Students’ problem-solving and analytical thinking skills will be improved if they use the NCERT Solutions available at Infinity Learn to react to the challenges. Download Free NCERT Solutions for Class 11 Maths to begin your board exam preparations. NCERT Solutions Class 11 Maths NCERT Solutions Class 11 Maths is important not only for board exams but also for competitive testing. Faculty have developed solutions to help students learn more topics regardl...

Tiwari Academy / NCERT Solutions / NCERT Solutions for Class 12 / NCERT Solutions for Class 12 Maths / NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals / NCERT Solutions Class 12 Maths Chapter 8 Miscellaneous Exercise NCERT Solutions Class 12 Maths Chapter 8 Miscellaneous Exercise Integral calculus has its origins in the early stages of the development of mathematics and is related to the exhaustion method developed by ancient Greece’s mathematicians. This method originated in solving problems on the calculation of plane figures, surface areas and volume of solid bodies, etc. In this sense, the depreciation method can be considered as an initial method of The most significant development of the exhaustion method in the early period was achieved in the works of Eudoxus (440 BCE) and Archimedes (300 BCE). In conclusion, the basic concepts and theory of integral calculus and it’s mainly with differential calculus relationships were developed at the end of the 17th-century, I. Newton, and G. In Leibnitz’s work. We just solve all the given curves and get the intersection points corresponding to each curve. First of all just plot the points. Now, consider all the curves one by one. First of all plot the line if any then the next curves. During the plotting, must consider the common intersecting points of each curve.

NCERT Solutions for Miscellaneous Exercise Chapter 1 Class 11deals with various aspects of a Set and its detailed description under multiple cases. In miscellaneous exercise Class 11 chapter 1, students will learn about types of sets, explanations about subsets and their concepts, Venn Diagrams, etc. Class 11 Maths Chapter 1 miscellaneous solutions are essential, and students must be thorough with all the concepts to score well. The NCERT Miscellaneous Exercise Chapter 1 Class 11 covers the important topics explained in the chapter to help students during the board exams. Class 11 students must keep practising the in-text questions and find areas where they need to improve for their betterment. Here at Embibe, everything is just a click away, so scroll down to download the solutions for miscellaneous exercises Chapter 1 Class 11. NCERT Solutions for Miscellaneous Exercise Chapter 1 Class 11: Overview CBSE NCERT Solutions for At Embibe, students can find the NCERT solutions for Miscellaneous Exercise Chapter 1 Class 11 for free. The academic experts have solved all the Class 11 Maths Chapter 1 Miscellaneous Solutions to help students with their studies. The solutions have been explained in simple words that any student from Class 11 can easily understand. The subject experts have also provided in-depth solutions for students to understand the complex concepts. NCERT Solutions for Miscellaneous Exercise Chapter 1 Class 11: Free PDF A well-defined collection of objects is a s...