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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..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..Question 8
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) AB = 10 units (given) Accord..
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', i.e., x =..
Function
Function - Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element has a corresponding second element is called a function.Any relation on A x B in which (i) no two second elements have a common first element and (ii) every first element ha..
Properties of definite integrals
The area bounded by the curve x = f(y), y - axis and the abscissas If f(x) is continuous in [a,b] and crosses the x-axis at x = c in (a, b) then the area bounded by the curve, x - axis and x = a and x = b is Area between y = f(x) and y = g(x..
The area bounded by the curve x = f(y), y - axis and the abscissas If f(x) is continuous in [a,b] and crosses the x-axis at x = c in (a, b) then the area bounded by the curve, x - axis and x = a and x = b is Area between y = f(x) and y = g(x..See what our Users say :
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