![]() Similarly, plot points B and C taking abscissa 2 and –2 and ordinates – 2 and 2 respectively. Solution: Plot the point A by taking its abscissa O and ordinate = 2. (iii) Co-ordinates of point P = (abscissa, ordinate)Įxample 3: Write down the (i) abscissa (ii) ordinate (iii) Co-ordinates of P, Q, R and S as given in the figure.Įxample 4: Draw a triangle ABC where vertices A, B and C are (0, 2), (2, – 2), and (–2, 2) respectively. (ii) Ordinate of the point P = MP = ON = b Solution: (i) Abscissa of the point P = – NP = –OM = – a (i) Abscissa (ii) ordinate (iii) Co-ordinates of point P given in the following figure. (iii) Co-ordinates of the point P = (Abscissa, ordinate) = (3, 4) Solution: (i) Abscissa = PN = OM = 3 units In the fourth quadrant, for a point, the abscissa is positive and the ordinate is negative.Ĭartesian Coordinate System Example Problems With SolutionsĮxample 1: From the adjoining figure find.In the third quadrant, for a point, both abscissa and ordinate are negative.In the second quadrant, for a point, abscissa is negative and ordinate is positive.In the first quadrant, both co-ordiantes i.e., abscissa and ordinate of a point are positive.These axes are called the co-ordinate axes.Ī quadrant is 1/4 part of a plane divided by co-ordinate axes. The plane is called the cartesian plane or the coordinate plane or the xy-plane. So, the plane consists of axes and quadrants. The axes divide the plane into four parts. The distance of the point P from x-axis is called its ordinate. The distance of the point P from y-axis is called its abscissa. Therefore, the coordinates of origin are (0, 0). It has zero distance from both the axes so that its abscissa and ordinate are both zero. It is point O of intersection of the axes of co-ordinates. In the figure OX and OY are called as x-axis and y-axis respectively and both together are known as axes of co-ordinates. OM (or NP) and ON (or MP) are called the x-coordinate (or abscissa) and y-coordinate (or ordinate) of the point P respectively. Let O be the fixed point called the origin and XOX’ and YOY’, the two perpendicular lines through O, called Cartesian or Rectangular co-ordinates axes.ĭraw PM and PN perpendiculars on OX and OY respectively. ![]() So the point is in quadrant I.In Cartesian co-ordinates the position of a point P is determined by knowing the distances from two perpendicular lines passing through the fixed point. the ordinate is 5 and the abscissa is 3.the abscissa is -5 and the ordinate is 3.the abscissa is -5 and the ordinate is -3.the ordinate is 5 and the abscissa is -3.Without plotting the points indicate the quadrant in which they are located, if Clearly, point (3, 5) is in 1st quadrant.Clearly, point (5, 3) is in 2nd quadrant.the point (5, - 3) is in the 3rd quadrant.Clearly, point (3, 5) is in the 2nd quadrant.Read More: Section Formula in Coordinate Geometry the ordinate is 5 and the abscissa is 3 (3 Marks).the abscissa and - 5 and the ordinate is 3.the abscissa is 5 and the ordinate is - 3.the ordinate is 5 and the abscissa is - 3.Without plotting the points indicate the quadrant in which they are located, if: whose ordinate is -4 and lies on the y-axis. whose abscissa is 5 and lies on the x-axis. (abscissa of P) – (abscissa of Q) will be 1. If the coordinates of two points are P (-2, 3) and Q (-3, 5), then find (abscissa of P) – (abscissa of Q). Without plotting the points indicate the quadrant in which they will lie, if (i.) Ordinate is -3 and abscissa is -2 (ii.) Abscissa is 5 and ordinate is -6. The Abscissa is -3 and the ordinate is -4. Write abscissa and ordinate of point (-3,-4). The abscissa and ordinate of the point with coordinates (8,12) is Write the ordinate value of all points on the x-axis.
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