abscissa of the point


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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..
Question 3
Question: (a) Plot a point P on the graph paper whose abscissa is 4 and ordinate is 3. (b) Plot a point Q on the graph paper whose abscissa is -3 and ordinate is -2.5. (c) Plot a point R on the graph paper whose abscissa is zero and o..
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-..
Graph:
The variations in the value of tanx depends up on the changes in the value of y as x changes continuously. The straight line perpendicular to the x-axis at x = is drawn to indicate that as the abscissa of moving point on the curve moves towards as a limit, the pointh..
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 og..
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',..
Question 4
image Question: A point is equidistant from A (-6, 4) and B (2, -8). Find its co-ordinates, if its abscissa and ordinate are equal. [2 Mark] Answer: Let P be the point which is equidistant from A and B. Since the abscissa and ordinates are equal, le..
Note:
i) If the points A and B lie on the x-axis, then the ordinates of A and B are zeros. i.e., A (x 1 , 0), B (x 2 ,0) ii) If the points A and B lie on the y-axis, then the abscissae of A and B are zeros. i.e., A (0,y 1 ) and B (0,y 2 ) iii) Distance of any point..
Question 8
image Question: Find the Co-ordinates of the points whose abscissa is 10 and which are at a distance of 10 units from (2, -3). [3 Mark] Answer: Let the point A whose abscissa is 10 have the co-ordinates as A (10, y). Another point B (2, -3) ..
Ordered Pairs and Cartesian Product
In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes. The vertical line is called the Y-a..
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