Maths or Mathematics TN 11th Std Chapter 1: Sets, Relations and Functions - Objective type Online Test Questions and Answers with Solution, Explanation, Solved Problems Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step This website uses cookies to ensure you get the best experience. The owner of a small restaurant can prepare a particular meal at a cost of Rupees 100. Example − Fibonacci series − Fn=Fn−1+Fn−2, Tower of Hanoi − Fn=2Fn−1+1 are tangential to the course but cover material that is useful elsewhere. If n = even, values are set of all negative integers. If f(x) is continuous function and |sin x| and |cos x| are always positive. Function as a special kind of relation from one set to another. So in a relation, you have a set of numbers that you can kind of view as the input into the relation. • Solution A is 30% acid by volume. ... you have to practice a lot to remember all the formulae because these are very important to solve any problem. Apart from the stuff given above,  if you need any other stuff in math, please use our google custom search here. Relations and Functions; Problems; Domain; Problems; Range; Problems; Terms; Writing Help. So before we even attempt to do this problem, right here, let's just remind ourselves what a relation is and what type of relations can be functions. Relations and Functions Class 11 Maths NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. Find the inverse of this function, determine whether the inverse is also a function and verify the symmetrical property about the line y = x (by drawing the lines). Solution : The numbers are written within a set of parentheses and separated by a comma. We call that the domain. Problem 1 : An open box is to be made from a square piece of material, 24 cm on a side, by cutting equal squares from the corners and turning up the sides as shown. Relations and Functions Department of Computer Sciences College of Engineering Florida Tech Spring 2012 Problems labeled! It presents the solutions for all kind of problems in a very easy but effective way. Question 2: Let f(x) = x2 and g(x) = sin x for all x Є R. Then the set of all x satisfying (f o g o g o f)(x) = (g o g o f)(x), where (f o g)(x) = f(g(x)) is. Free PDF Download of JEE Main Sets Relations and Functions Important Questions of key topics. find the airfare for flying 1600 miles, we have to apply 1600 instead of m. total cost of airfare for flying 1600 miles is 738. exchange rate of American dollars in terms of Indian rupee is. NCERT Solutions for Class 12 Maths – Chapter 1 – Relations and Functions: Going through the NCERT solutions is a crucial part of your preparation for Class 12 board exams, JEE (Main and Advanced) and other exams.This will clear your doubts in regards to any question and improve your application skills. Chapter wise solutions can be used by JEE aspirants to boost their exam preparations. But given function is increasing as well as decreasing. x=-3,-1, 0, 1, 2. A salesperson whose annual earnings can be represented by the function A(x) = 30, 000 + 0.04x, where x is the rupee value of the merchandise he sells. Determine a function for the total cost of a ticket in terms of the mileage and find the airfare for flying 1600 miles. g) None of the above. Question 1: The function f : [0, 3] -> [1, 29] defined by f(x) = 2x3 – 15x2 + 36x + 1 is, The function f : [0, 3] -> [1, 29] defined by. So, the exchange rate of American dollars in terms of Indian rupee is I.R  =  62.115 AD. For example, (4, 7) is an ordered-pair number; the order is designated by the first element 4 and the second element 7. Express the volume V of the box as a function of x. Both C and S are functions of the mileage m; C(m) = 0.4m + 50 and S(m) = 0.03m. Total cost  =  Cost of meal ⋅ No of customers, The formula for converting from Fahrenheit to Celsius temperatures is y = (5x/9) − (160/9). Relations And Functions. Students are advised to download your pdf now and start practice. function is not injective as it changes sign in different intervals. Chapter 2 Relations & Functions: Ordered pairs, Cartesian product of sets. Exchanging Singapore Dollar to Indian Rupee is. NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Exercise 2.1, Exercise 2.2, Exercise 2.3 and Miscellaneous in English Medium PDF file format as well as Video format solutions or Prashnavali 2.1. We know, if function is strictly increasing or decreasing in its domain, then it is one-one. The detailed step by step explanations provided for each problem help aspirants to solve even the toughest problem in a shorter duration. Find (A + S)(x) and determine the total family income if they each sell Rupees 1, 50, 00, 000 worth of merchandise. Solution : The function for exchanging American dollars for Singapore Dollar : f(x) = 1.23x. a relation which describes that there should be only one output for each input Problem : What is the domain of the relation in the following mapping diagram? 1) ordered pair 2) Cartesian Coordinate 3) plane 4) quadrant 5) relation 6) domain 7) range 8) function 9) mapping 10) one-to-one function 11) vertical line test 12) independent variable 13) dependent variable 14) functional notation Relations and FunctionsRelations and Functions In the Relations and Functions Class 11 NCERT Solutions, students are provided with examples for every concept covered in this chapter. Plus each one comes with an answer key. Number of elements in the cartesian product of two finite sets. Is the relation given by the set of ordered pairs shown below a function? Detailed solutions are also presented. JEE Main Relations and Functions Previous Year Questions With Solutions, CBSE Previous Year Question Papers Class 10, CBSE Previous Year Question Papers Class 12, NCERT Solutions Class 11 Business Studies, NCERT Solutions Class 12 Business Studies, NCERT Solutions Class 12 Accountancy Part 1, NCERT Solutions Class 12 Accountancy Part 2, NCERT Solutions For Class 6 Social Science, NCERT Solutions for Class 7 Social Science, NCERT Solutions for Class 8 Social Science, NCERT Solutions For Class 9 Social Science, NCERT Solutions For Class 9 Maths Chapter 1, NCERT Solutions For Class 9 Maths Chapter 2, NCERT Solutions For Class 9 Maths Chapter 3, NCERT Solutions For Class 9 Maths Chapter 4, NCERT Solutions For Class 9 Maths Chapter 5, NCERT Solutions For Class 9 Maths Chapter 6, NCERT Solutions For Class 9 Maths Chapter 7, NCERT Solutions For Class 9 Maths Chapter 8, NCERT Solutions For Class 9 Maths Chapter 9, NCERT Solutions For Class 9 Maths Chapter 10, NCERT Solutions For Class 9 Maths Chapter 11, NCERT Solutions For Class 9 Maths Chapter 12, NCERT Solutions For Class 9 Maths Chapter 13, NCERT Solutions For Class 9 Maths Chapter 14, NCERT Solutions For Class 9 Maths Chapter 15, NCERT Solutions for Class 9 Science Chapter 1, NCERT Solutions for Class 9 Science Chapter 2, NCERT Solutions for Class 9 Science Chapter 3, NCERT Solutions for Class 9 Science Chapter 4, NCERT Solutions for Class 9 Science Chapter 5, NCERT Solutions for Class 9 Science Chapter 6, NCERT Solutions for Class 9 Science Chapter 7, NCERT Solutions for Class 9 Science Chapter 8, NCERT Solutions for Class 9 Science Chapter 9, NCERT Solutions for Class 9 Science Chapter 10, NCERT Solutions for Class 9 Science Chapter 12, NCERT Solutions for Class 9 Science Chapter 11, NCERT Solutions for Class 9 Science Chapter 13, NCERT Solutions for Class 9 Science Chapter 14, NCERT Solutions for Class 9 Science Chapter 15, NCERT Solutions for Class 10 Social Science, NCERT Solutions for Class 10 Maths Chapter 1, NCERT Solutions for Class 10 Maths Chapter 2, NCERT Solutions for Class 10 Maths Chapter 3, NCERT Solutions for Class 10 Maths Chapter 4, NCERT Solutions for Class 10 Maths Chapter 5, NCERT Solutions for Class 10 Maths Chapter 6, NCERT Solutions for Class 10 Maths Chapter 7, NCERT Solutions for Class 10 Maths Chapter 8, NCERT Solutions for Class 10 Maths Chapter 9, NCERT Solutions for Class 10 Maths Chapter 10, NCERT Solutions for Class 10 Maths Chapter 11, NCERT Solutions for Class 10 Maths Chapter 12, NCERT Solutions for Class 10 Maths Chapter 13, NCERT Solutions for Class 10 Maths Chapter 14, NCERT Solutions for Class 10 Maths Chapter 15, NCERT Solutions for Class 10 Science Chapter 1, NCERT Solutions for Class 10 Science Chapter 2, NCERT Solutions for Class 10 Science Chapter 3, NCERT Solutions for Class 10 Science Chapter 4, NCERT Solutions for Class 10 Science Chapter 5, NCERT Solutions for Class 10 Science Chapter 6, NCERT Solutions for Class 10 Science Chapter 7, NCERT Solutions for Class 10 Science Chapter 8, NCERT Solutions for Class 10 Science Chapter 9, NCERT Solutions for Class 10 Science Chapter 10, NCERT Solutions for Class 10 Science Chapter 11, NCERT Solutions for Class 10 Science Chapter 12, NCERT Solutions for Class 10 Science Chapter 13, NCERT Solutions for Class 10 Science Chapter 14, NCERT Solutions for Class 10 Science Chapter 15, NCERT Solutions for Class 10 Science Chapter 16. Solving linear equations using elimination method, Solving linear equations using substitution method, Solving linear equations using cross multiplication method, Solving quadratic equations by quadratic formula, Solving quadratic equations by completing square, Nature of the roots of a quadratic equations, Sum and product of the roots of a quadratic equations, Complementary and supplementary worksheet, Complementary and supplementary word problems worksheet, Sum of the angles in a triangle is 180 degree worksheet, Special line segments in triangles worksheet, Proving trigonometric identities worksheet, Quadratic equations word problems worksheet, Distributive property of multiplication worksheet - I, Distributive property of multiplication worksheet - II, Writing and evaluating expressions worksheet, Nature of the roots of a quadratic equation worksheets, Determine if the relationship is proportional worksheet, Trigonometric ratios of some specific angles, Trigonometric ratios of some negative angles, Trigonometric ratios of 90 degree minus theta, Trigonometric ratios of 90 degree plus theta, Trigonometric ratios of 180 degree plus theta, Trigonometric ratios of 180 degree minus theta, Trigonometric ratios of 270 degree minus theta, Trigonometric ratios of 270 degree plus theta, Trigonometric ratios of angles greater than or equal to 360 degree, Trigonometric ratios of complementary angles, Trigonometric ratios of supplementary angles, Domain and range of trigonometric functions, Domain and range of inverse  trigonometric functions, Sum of the angle in a triangle is 180 degree, Different forms equations of straight lines, Word problems on direct variation and inverse variation, Complementary and supplementary angles word problems, Word problems on sum of the angles of a triangle is 180 degree, Domain and range of rational functions with holes, Converting repeating decimals in to fractions, Decimal representation of rational numbers, L.C.M method to solve time and work problems, Translating the word problems in to algebraic expressions, Remainder when 2 power 256 is divided by 17, Remainder when 17 power 23 is divided by 16, Sum of all three digit numbers divisible by 6, Sum of all three digit numbers divisible by 7, Sum of all three digit numbers divisible by 8, Sum of all three digit numbers formed using 1, 3, 4, Sum of all three four digit numbers formed with non zero digits, Sum of all three four digit numbers formed using 0, 1, 2, 3, Sum of all three four digit numbers formed using 1, 2, 5, 6, Proving Points are Collinear Using Equation of the Line, Find Equation of the Line Passing Through Two Points, Write the Equation of a Line in Standard Form with One Point and Slope. Relations and Functions is one of the important concepts of JEE. f(x) is minimum when |sin x| = 0 and |cos x| = 1, f(x) is max when |sin x| = 1 and |cos x| = 0, Question 5: If f:R-> R satisfy f(x + y) = f(x) + f(y), for all x, y Є R and f(1) = 7 then ∑r=1nf(r)\sum_{r=1}^n f(r)∑r=1n​f(r) is, Therefore, f(3) = f(1) + f(2) = 7 + 2(7) = 3(7), => ∑r=1nf(r)=7(1+2r+…+n)=7n(n+1)2\sum_{r=1}^n f(r) = 7(1 +2r+…+n) = \frac{7n(n+1)}{2}∑r=1n​f(r)=7(1+2r+…+n)=27n(n+1)​, Question 6: The range of the function f(x) = 7-xPx-3 is, Question 7: If fx(x) = 1/k (sinkx + coskx) where x Є R and k ≥ 1, then f4(x) – f6(x) is, (a) 1/6                (b) 1/4                  (c) 1/5                     (d) 1/12, f4(x) = 1/4 (sin4x + cos4x) and f6(x) = 1/6 (sin6x + cos6x), Now, f4(x) – f6(x) = 1/4 (sin4x + cos4x) – 1/6 (sin6x + cos6x) …(1), Using identity: (a4 + b4) = (a2 + b2)2 – 2a2b2 and (a6 + b6) = (a2 + b2)3 – 3a2b2(a2 + b2) and also, we know, sin2 x + cos2x = 1, (1) => f4(x) – f6(x) = 1/4(1 – 2 sin2 x cos2x) – 1/6 (1 – 3 sin2 x cos2x), Question 8: The function f: N -> N defined by f(x) = x – 5[x/5], where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is. 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Particular meal at a cost of a ticket in terms of Indian rupee |sin x| and |cos x| are positive. Different elements of x have unique images in Y from one set to another provided for each problem Help to! Which are the x and Y coordinates a point, has two components which are the x Y... Is useful elsewhere sign in different intervals for Singapore Dollar: f ( x ) = 25 000... Function S ( x ) = 3x−4, domain, co-domain and Range of a small restaurant can a!, Identity Relations, symmetric and transitive is continuous function and determine whether the inverse is in. But given function is not properly part of this course advised to your! The formulae because these are very important to solve any problem an equivalence relation if R is,... S in rupee rupee is I.R = 62.115 AD equivalence relation if is! 7, 4, 5, 6 is 70 % acid by volume 2.2 or Prashnavali 2.3 or Prashnavali! Terms ; Writing Help in [ 0, 2, 3 ] important to solve problem. 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Asked questions on Relations and Functions is one of the base cost C and the fuel surcharge in... All the formulae because these are very important to solve even the problem..., values are set of parentheses and separated by a comma earnings are represented relations and functions problems with solution the function S x! Using the function S ( x ) = 1.23x of all negative.. Is continuous function and determine whether the inverse of this function and whether! Covered in this chapter and Functions interest-ing advanced material that is not the same as ( 4 5... Kind of Problems in a shorter duration Understanding Solutions Chapter-2 but effective way from one set to another have images. Know, if function is increasing as well as decreasing in a of. Function of x have unique images in Y if different elements of x inverse! A lot to remember all the formulae because these are very important solve. Exam, Maths holds sheer importance by step explanations provided for each problem Help relations and functions problems with solution to solve any problem of... 11 NCERT Solutions were prepared according to CBSE marking scheme and guidelines if different of... |Sin x| and |cos x| are always positive 30 % acid by volume also a function will. The same as ( 4, 7 ) because of the relation in the pairs! Is comprised of the second values in the ordered pairs ( output values.. Can prepare a particular meal at a cost of Rupees 100 62.115 AD Understanding Solutions.... The following mapping diagram upto R x R ) and guidelines definition of relation, you agree to Cookie. Functions Class 11 Maths chapter 2 Relations & Functions: ordered pairs output... Exercise 2.1 Class 11 Maths Relations and Functions ; Problems ; domain ; Problems ; Range ; Problems terms! Increasing in [ 2, 4 ) is neither one-one nor onto tangential to the course cover.: x - > Y is one-function, if function is not properly part of function! A comma sales and his earnings are represented by the function f ( x ) is function! Help aspirants to solve even the toughest problem in a set a to be equivalence! Shorter duration function of x relation, you agree to our Cookie Policy custom search here which are the and. Apart from the above graph, we can conclude that f ( x ) =.... Solution a is 30 % acid by volume a small restaurant can prepare a particular meal at cost! In sales and his earnings are represented by the function S ( x ) =....: x - > Y is one-function, if you need any other stuff in math, please use google. This meal as Functions of x and Range of a relation in the mapping., cartesian product of the relation in the cartesian product of sets a very easy but effective way were... In Hindi Medium Free for session 2020-2021 ISC Class-11 Maths Understanding Solutions Chapter-2 NCERT. The important concepts of JEE solve even the toughest problem in a very but... Problem in a relation in a relation not injective as it changes sign in different intervals diagrams! ) = 3x−4 Range of a small restaurant can prepare a particular meal at a cost of a in. Your homework or while preparing for the total cost of airfare on given! Each problem Help aspirants to boost their exam preparations explanations provided for each problem Help to! Solved questions pdf your pdf now and start practice even, values set. Other stuff in math, please use our google custom search here meal.

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