To solve: bring -6 to the left side by adding 6, so the right side is equal to 0 Vi) A line parallel to the x-axis will have the equation y=b.Ī group of donkey led by a lion can defeat a group of lion led by a donkey.X² + 5x = -6 is the start of a quadratic equation V) A line parallel to y-axis will have the equation x=a. Iv) Any point of the form P(0,a) will lie on the y-axis. Iii) Any point of the form P(a,0) lies on the x-axis. Ii) Always follow the quadrant sign convention or else you shall get a wrong location of the point given in the question. It is the intersecting point of the two axes. I) The reference point is known as the "Origin" which has the identity (0,0). PQ shall give the length of the line segment so formed. Suppose there are two points namely, P(a,b) and Q(x,y) in any of the quadrants. Iv) Any point lying in the fourth quadrant has only the ordinate negative. Iii) Any point lying in the third quadrant has both the abscissa and ordinate negative. Ii) Any point lying in the second quadrant has abscissa negative and ordinate positive. I) Any point lying in the first quadrant has both the ordinate and abscissa positive. Then moving anti-clockwise the other three quadrants are named as second, third and fourth quadrant. The upper right quadrant is taken to be the first quadrant. The two intersecting axis divides the whole plane into four parts, each part called a quadrant. It is the perpendicular distance of the point from the y-axis.įor example, P(5,2) is a point in which the ordinate is 2. The position of the point with respect to the y-axis is called the ordinate. It means that the point is a distance of 5 units from the x-axis. In other words, it is the distance of ther point from the x-axis.įor example, P(5,2) is a point in which the abscissa is 5. The position of a point with respect to the x-axis which is the horizontal line is called the abscissa of that point. The horizontal line is called the x-axis and the vertical line is called thew y-axis. It helps us to locate the position of any points with respect to that line. For a point situated in space (Other than horizontal or vertical plane) X and Y coordinate will be having a non zero value.Ĭoordinate axes can be defined as the set of two mutually perpendicular lines that intersect at a point on an Eucledian plane. For a point in the horizontal plane X coordinate is zero and for a point in the vertical plane Y coordinate is zero. In first quadrant X and Y coordinate are positive,in second quadrant X is negative and Y is positive,In third quadrant X and Y are negative, in fourth quadrant X is positive and Y is negative. In coordinate system, In front of the vertical plane and above the horizontal plane is first quadrant,behind the vertical plane and above the horizontal plane is second quadrant,behind the vertical plane and below the horizontal plane is third quadrant, in front of the vertical plane and below the horizontal plane is fourth quadrant. Coordinate of this line is taken as (0,0). This line is taken as the reference line. Due to the intersection of these two mutually perpendicular planes a line is forming. We can explain coordinate system with the help of two planes which are mutually perpendicular - one is horizontal and the other one is vertical.
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