Co-ordinates
The position of a point with respect to the rectangular axes by means of a pair of numbers is called co-ordinates. The distance OM of point P along x-axis is called x-co-ordinate or abscissa. The distance ON of point P along y-axis is called ordinate or y-co-..
The position of a point with respect to the rectangular axes by means of a pair of numbers is called co-ordinates. The distance OM of point P along x-axis is called x-co-ordinate or abscissa. The distance ON of point P along y-axis is called ordinate or y-co-..Rectangular co - ordinates
The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - a..
The position of the point P in a plane in the rectangular co-ordinate system is determined as follows: Draw PA and PB perpendicular to XX' and YY'. The segment OA = a measures the distance along the x-axis (the x-coordinate and the perpendicular distance AP = OB = b ( parallel to y - a..Question 4
Question: (a) A point P is on the X-axis and 3 units from the origin. State its abscissa and ordinate. (b) A point Q is on the Y-axis. State its abscissa and ordinate if Q is 4 units from the origin. (c) The abscissa of a point M is (2a) and th..
To Plot an Ogive
(i) We plot the points with coordinates having abscissae as actual lower limits and ordinates as the cumulative frequencies, (70.5, 2), (60.5, 7), (50.5, 13), (40.5, 23), (30.5, 37), (20.5, 49), (10.5, 57), (0.5, 60) are the coordinates of the points. (ii) Join the points by a ..
Question 9
Question: Calculate the distance between A (7, 3) and B on the x-axis whose abscissa is 11. [2 Mark] Answer: The co-ordinates of B are (11, 0). (on the x-axis, y = 0, abscissa = x-coordinate = 11)..
Question: Calculate the distance between A (7, 3) and B on the x-axis whose abscissa is 11. [2 Mark] Answer: The co-ordinates of B are (11, 0). (on the x-axis, y = 0, abscissa = x-coordinate = 11)..Summary
1. Two types of graphical representation of data are the histogram and the ogive. 2. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle. 3. An ogive or a cumulative frequency curve is a 's' shaped curve. Points on the ogive have h..
Translation of Axes
,k) be the coordinates of O' referred to the old axes, i.e., OL = h and LO' = k. Also, OM = x and MP = y . Let O'M' = x' and M'P = y' be respectively, the abscissa and ordinates of point P referred to the new axes O'X' and O'Y'. From the figure, we have OM = OL + LM = OL + O'M',..
To Plot an Ogive:
(i) We plot the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, (10, 2), (20, 10), (30, 22), (40, 40), (50, 68), (60, 90), (70, 96) and (80, 100) are the coordinates of the points. (ii) Join the points plotted by a smooth c..
(i) We plot the points with coordinates having abscissae as actual limits and ordinates as the cumulative frequencies, (10, 2), (20, 10), (30, 22), (40, 40), (50, 68), (60, 90), (70, 96) and (80, 100) are the coordinates of the points. (ii) Join the points plotted by a smooth c..Rectangular coordinate system
The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn horizontally) is called the x-axi..
The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn horizontally) is called the x-axi..Rectangular coordinate system Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn h..
Rectangular coordinate system - The position of a point in a plane is determined by two coordinates. The method is as follows: Two mutually perpendicular lines (straight lines) XX' and YY' are drawn as shown in the figure. These straight lines are termed as coordinate axes, the one (usually drawn h..See what our Users say :
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