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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 ( paralle..
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)..
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 the ordinate..
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-ordinate. ..
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 ..
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..
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 ..
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 smooth cur..
Ordered Pairs and Cartesian Product
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 verti..
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 ..
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