ordinate and abscissa


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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-..
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 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..
Question 10
image Question: A point A is at a distance from the point (4, 3). Find the co-ordinates of point A, if its ordinate is twice of its abscissa. [3 Mark] Answer: Ordinate is y-co-ordinate and Abscissa is x co-ordinate. Let..
Question 9
image 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..
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..
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..
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-axis and th..
Applications of Definite Integrals
Let y = f (x) be a curve. The area bounded by y = f (x), x-axis and the ordinates at x = a and x = b is given byLet y = f (x) be a curve. The area bounded by y = f (x), x-axis and the ordinates at x = a and x = b is given by (ii) The area bounded by the curve x = f (y) y = axis ..
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