Functions CBSE Important questions - Class 12 maths Relations and Functions


























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What are relations?. Types of Relations Class XII - maths chapter 1

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  What are relations?   Before explaining what the meaning of relations is, we’ll recall the meaning of cartesian product. So if we have two sets A = { a, b, c} B = { x, y} Then randomly we can associate each element of A with each element of B So, Cartesian product is A X B = { (a, x). (a, y), ( b, x ) ( b, y), (c, x) , (c, y)}   Now if we set a rule on the basis of which we associate each element of set A with element(s) of set B then that ordered pair will be called relation. Same thing we do in real life. e.g.1 if a man gets married to a woman then that man will be called the husband of the woman. So , a man will be related to a woman with the relation of “ is a husband” if and only if he has married that woman. Mr. Alex is husband of Mrs. Sophia since he married her e.g.2 “Alphabets” of set A are related to “word(s)” of set B if the word starts with the letter selected from se...
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What are Functions ? - Part 2 / Class 12 maths

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  What are Functions – II ? Hello everyone, So, in the previous post I explained the meaning of Functions. If you missed the post, just click on the following link     Now, we’ll see Functions in more details: A function is a process (or a relation) that associates each element  x  of a  set   X , the  DOMAIN  of the function, to a single element  y  of another set  Y  (possibly the same set), the  CODOMAIN  of the function. Now you know why it is called “FUNCTION” ? Because it does something, it’s a process.   I some times see FUNCTIONS as some kind of machine in which when we put some value of x of set X ( DOMAIN) and in return it gives a single value y of set Y ( CODOMAIN) This was just a general presentation friends now let us see some real functions too. So as in Real life we have different gadgets to fulfill our daily needs, similarly to fulfill our mathematical needs there are many...
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What are Functions ? - Class 12 maths chapter 1 - Relations and Functions

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  WHAT ARE FUNCTIONS?   So in the previous post, we learnt about “ RELATIONS”. If you missed those posts kindly follow the link, as it is pre requisite knowledge to study functions. CLICK THIS LINK WHAT ARE RELATIONS?     Dear friends “ FUNCTIONS” are special type of “RELATIONS” In a Relation we associate elements of set “A” (DOMAIN) with the elements of set   “B”   ( CO DOMAIN) following a fixed rule. R = { (0,0), ( 1, -1) , (1, 1) , ( 4, -2) , ( 4, 2) , ( 9, -3) , ( 9, 3) } See how 1 associated with -1 and 1 in red colour. 4 with -2 and 2 in blue and 9 with -3 and 3 in green. R = { (0,0), (-1,1), (1,1), (-2,4) , ( 2,4), ( -3,9) , ( 3,9), ( -4,16), (4,16) } See how -1 and 1 are associated with 1 in yellow colour -2 and 2 with 4 in green ; -3 and 3 with 9 in red and -4 and 4 with 16 in black Now, we’ll take just one more example and then we can understand what functions are See how each -2 is connected with -1 only, -1 with 0 ...
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