Equation of a line parallel to y-axis:
Let LM be a straight line parallel to y-axis at a distance k from the y-axis. Then, the abscissa (the x-coordinate), x=k. Hence, the equation of the line parallel to y-axis is x = k. ..
Let LM be a straight line parallel to y-axis at a distance k from the y-axis. Then, the abscissa (the x-coordinate), x=k. Hence, the equation of the line parallel to y-axis is x = k. ..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..
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-..
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-..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..Applications of Definite Integrals
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 bou..
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 bou..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 A (x..
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 A (x..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..
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..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 - h..
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 - h..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..
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 curve. (iii..
(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 curve. (iii..See what our Users say :
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