Hello friends, as I believe you have understood the previous topics. Today we are going to discuss about the rectangular coordinate system which you need to study in grade IV of karnataka board. The coordinate system is the most basic concept so you need to focus more because if you understand this concept then you can understand the coordinate geometry quite easily. rectangular coordinate consists of two axes X and Y.
In actual X and Y are intersecting two perpendicular lines. The direction of X is in horizontal direction and Y is in vertical direction. Any point on both the lines either on X axis or on Y axis are real numbers(definition of real numbers). Every coordinate system consists of 4 quadrants. In 1st quadrant all the value of X and Y are positive, in the second quadrant value of x is negative and value of y is positive, in third quadrant value of both x and y are negative .and in the 4th quadrant value of x will be positive and value of y will be negative. If we know all about quadrants then it will be very easy for us to find the value of X and Y because if we know that in which quadrant value of x and y is positive and in which quadrant value is negative because sign convention plays a very important role in finding the exact value of x and y and there are many online math tutor that can give further explanation. The point where x and y axis intersect each other is called origin and its points are (0,0). When you represent any point, it represents in the form of (x,y) where x is called abscissa and y is called ordinate .
Now by the image given below, your all doubts about the coordinate system will be clear so let’s see this example (For further details on Rectangular Coordinate System click here )
In this image you can see that all the four quadrants are shown very perfectly as you can see the point given in 1st quadrant is (6,4) so you can see x is positive as well as y is also positive. Point (6,4) represents that x is 6 unit distance from the origin in horizontal direction and y is 4 unit distance from the origin in vertical direction. The second point is (-6,4). Now point -6 is the 6 unit distance from the origin in negative horizontal direction and 4 is the distance in vertical direction. The third point is (-6,-4) both x and y are negative points -6 is the 6 unit distance from the origin in negative horizontal direction and -4 is the 4 unit distance in negative vertical direction and in the 4th quadrant we have (6,-4). In this value of x is positive and value of y is negative so 6 is the distance in horizontal direction and 4 is the distance in negative vertical direction.
By above example I think you got to know all the basic of quadrants as I believe you just got everything about 1st,2nd,3rd,and 4th quadrant then you can easily find out all the points.
This is all about quadrants and if anyone want information on
In actual X and Y are intersecting two perpendicular lines. The direction of X is in horizontal direction and Y is in vertical direction. Any point on both the lines either on X axis or on Y axis are real numbers(definition of real numbers). Every coordinate system consists of 4 quadrants. In 1st quadrant all the value of X and Y are positive, in the second quadrant value of x is negative and value of y is positive, in third quadrant value of both x and y are negative .and in the 4th quadrant value of x will be positive and value of y will be negative. If we know all about quadrants then it will be very easy for us to find the value of X and Y because if we know that in which quadrant value of x and y is positive and in which quadrant value is negative because sign convention plays a very important role in finding the exact value of x and y and there are many online math tutor that can give further explanation. The point where x and y axis intersect each other is called origin and its points are (0,0). When you represent any point, it represents in the form of (x,y) where x is called abscissa and y is called ordinate .
Now by the image given below, your all doubts about the coordinate system will be clear so let’s see this example (For further details on Rectangular Coordinate System click here )
In this image you can see that all the four quadrants are shown very perfectly as you can see the point given in 1st quadrant is (6,4) so you can see x is positive as well as y is also positive. Point (6,4) represents that x is 6 unit distance from the origin in horizontal direction and y is 4 unit distance from the origin in vertical direction. The second point is (-6,4). Now point -6 is the 6 unit distance from the origin in negative horizontal direction and 4 is the distance in vertical direction. The third point is (-6,-4) both x and y are negative points -6 is the 6 unit distance from the origin in negative horizontal direction and -4 is the 4 unit distance in negative vertical direction and in the 4th quadrant we have (6,-4). In this value of x is positive and value of y is negative so 6 is the distance in horizontal direction and 4 is the distance in negative vertical direction.
By above example I think you got to know all the basic of quadrants as I believe you just got everything about 1st,2nd,3rd,and 4th quadrant then you can easily find out all the points.
This is all about quadrants and if anyone want information on
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