![]() ![]() The structure of an ordered pair is (a, b). What is the structure of an ordered pair? There are formed while doing the cross product of sets.Ģ. FAQ’s on Ordered PairsĪn ordered pair has a pair of elements that are placed in a particular order and enclosed in brackets. Two ordered pairs are equal means their corresponding first components and second components are equal. Given two ordered pairs are (3a, 3), (5a – 4, b 1) If (2x 5, \(\frac \) = 16 7įind the values of a, b if both ordered pairs (3a, 3) and (5a – 4, b 1) are equal. So, 1st components are equal, second components are equal. Two ordered pairs are equal means their corresponding elements are also equal. Given two ordered pairs are (a, b) and (7, 8) Ordered Pairs ExamplesĬalculate the values of a and b if two ordered pairs (a, b) and (7, 8) are equal. Both the elements of an ordered pair can be the same but they are not equal. For example, two ordered pairs (x, y) and (m, n) are equal if x = m and y = n. ![]() It means (a, b) ≠ (b, a) as their 1st, 2nd components are not equal. In case their corresponding components are not equal, then the ordered pairs are not equal. Two ordered pairs are said to be equal if and only if the corresponding 1st components and 2nd components are equal. The first integer in the ordered pair s called either x-coordinate or abscissa and the second integer is ordinate or y-coordinate. The ordered pair is used to locate a point in the coordinate system. Here a is called the 1st component and b is called the 2nd component of the ordered pair. If A and B are two sets and a is an element of set A and b is an element of set B, then the ordered pair of elements is (a, b). In (a, b) a is called the first component and b is called the second component. If a, b are two elements of a set, then it is possible to write two different pairs are (a, b) and (b, a). The pair of elements that occur in a particular order, separated by a comma and are enclosed in brackets is called a set of ordered pairs. Check the following sections to know more about an ordered pair definition and solved questions. In the same way, ordered pair in the set theory also has two elements. As we already learned that an ordered pair in the coordinate plane has two coordinates namely x-coordinate and y-coordinate. The other easy way to represent a set in some situations is an ordered pair. ![]() In general, we can represent a set in three forms they are statement or description form, roster form, and set builder. For a set of points having the same ordinate and different abscissa, the line joining these points is a straight line parallel to X-axis.Sets are a collection of well-defined objects. The ordinate gives the horizontal distance of a point from the origin. It refers to the perpendicular distance of the point from the X-axis and is parallel to Y-axis. The term “coordinate” represents the position of the point along the line, arc and so on, whereas the term “ordinate” represents the value of a coordinate on the y-axis. In short, the distance along the y-axis is called the ordinate. In the coordinate system, the term “Ordinate” refers to the y -coordinate in (x, y). An example of an abscissa is the measurement along the y-axis parallel with the x-axis to point p. For example, a point having coordinates (2,3) has 2 as its abscissa. The distance of a point from the y-axis on a graph in the Cartesian coordinate system. ![]()
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