Profile Photo

class 12 maths : online – offline solutions for cbse class 12 maths

cbse Class 12 maths | cbse class 12 maths

Online and Offline solutions for cbse class 12 maths

class 12 maths cbse – We are providing solutions for maths and other subjects.

We are following modern technology to tech and guide our students.
We provide demo videos to students, so that they can judge the content before purchasing.

Few Concepts in details for cbse class 12 maths

(Note: To understand the concept clearly, watch our respective 3D animated videos while reading this article as the illustrations are based on that.)

Function

Objective :

In this session we will understand the concept of a function. We have plotted points on a graph paper. The points are given by their co-ordinates. (4, 5), (-5, 4), (-3.5, -4) etc.

We know that the first number gives us the x-coordinate that is, the distance from origin along x—axis and the second number gives us the y- coordinate that is, the distance from origin along y — axis. It is for this reason that if we change the order of numbers, we get a different point. (4, 5) and (5, 4) are two different points. Such an arrangement of pair of numbers where order is to be retained is called an ordered pair.

The cross product of two sets, AxB = {(a, b) I a e A and b e B} To explore all possibilities let us have two sets. Set A with five robots and set B with seven bikes.

Now we pair a robot with the bike matching its color.

Case I :Green robot with Green bike. Blue robot with Blue bike etc. In this case we find that each robot has only one bike to itself.

Case 2 : Let the bike with orange color be replaced with a bike of light green color.

Now we find that the robot with Orange color does not have a bike to itself.

Case 3 :Take the bikes of light green and purple color and replaced them with orange colored bikes. Matching the sets again.

Now we find that the Orange colored robot has two bikes to itself. Thus we observe that in the first case each robot from set A has a bike to itself, and there are 2 spare bikes. In the second case there is a robot without a matching bike and finally in the third case we have a robot that has more than one matching bike. These conditions lead us to the definition of a function.

A function is a subset of the cross product of two non-empty sets A and B such that every element of set A has a unique image in set B.

The function is represented by small letters, for example, Function f:A—>B. Set A is called Domain and set B Co domain. This further implies that no element of A can have more than one image in B. And also there should not be any element of A which does not have an image in B.Mathematically it implies that no two ordered pairs will have the same first element.

Continue with download CBSE class 12 maths pdf…….

Download 12 maths pdf free

For more information contact us:8800-999-280

Free Demo Lectures

Fill the details below to get access to Free Demo Lectures.

Find More Searches

  • All maths, physics, chemistry, biolofy, commerce,cbse solutions
  • Complete cbse sample papers
  • Latest cbse class 10 syllabus
  • Download cbse class 9 syllabus
  • Perfect cbse guide
  • cbse maths

No comments, be the first one to comment !

    Leave a Reply

    © 2015-17 Takshila Learning. All Rights Reserved.
    Request Callback
    For course & fee related queries, Leave your details and our counsellor will get back to you or Call us at 8800-999-280
    • This field is for validation purposes and should be left unchanged.

    Login