Vedantu LIVE Online Master Classes is an incredibly personalized tutoring platform for you, while you are staying at your home. From here, move 4 steps towards the “y” axis (upwards). Take 6 steps towards the “x” axis (towards the right) starting from the origin. To locate the point on the Cartesian plane, start from the origin. The second number in the ordered pair shows the distance from the “y" axis which is 4.
The first number in the ordered pair shows the distance from the “x" axis which is 6. Sol: As per the definition of ordered pair, the point P will be written as:
Plot the point “P” with coordinates 6, 4. Note: Both the elements of an ordered pair can be the same i.e., (2, 2), (5, 5).ġ. Solution: We will solve by equality of ordered pairs Question: Find the values of x and y, if (2x - 3, y + 1) = (x + 5, 7) They are equal if a = c and b = d, i.e., (a, b) = (c, d). Two ordered pairs are said to be equal if and only if the corresponding first elements are equal and the corresponding second elements are equal.įor example: Consider two ordered pairs (a, b) and (c, d). If we change the position of the elements in the ordered pair, then the ordered pair also get changed, i.e., it becomes (b, a) but (a, b) ≠ (b, a). In an ordered pair (a, b), a is called the first element, and b is called the second element.Ĭonsider, if A and B are two sets such that a ∈ A and b ∈ B, then by the ordered pair of elements we mean (a, b) where 'a' is called the I st element and 'b' is called the II nd element of the ordered pair. If ‘a’ and ‘b’ are two elements, then the two different pairs are (a, b), (b, a). The pair of elements that occur in a particular order and are enclosed in brackets is known as a set of ordered pairs. Therefore, in a pair, the order of elements is important. The ordered pair (2, 5) is not equal to the ordered pair (5, 2) because (2, 5) ≠ (5, 2). The ordered pair (2, 5) means a pair of two integers, strictly in the order with 2 at the first place called the abscissa and 5 at the second place called the ordinate. The y-coordinate tells us to have many steps to move on the y-axis. The x-coordinate tells us how many steps we have to take to on the x-axis. To graph a point, we have to draw a dot at the coordinates that correspond to the ordered pair. Where, x = abscissa, the distance measure of a point from the x-axis.Īnd, y = ordinate, the distance measure of a point from the y-axis. Pairs in math are denoted by (,) and are generally considered to be ordered. Also in the co- ordinate system, ordered pair is used to locate a point. An ordered pair is used to show the position on a graph, where the "x" (horizontal) value is first, and the "y" (vertical) value is second. Īn ordered pair is a combination of the x coordinate and the y coordinate, having two values written in a fixed order within parentheses.Īn ordered pair refers to a number written in a certain order. So, we can define an ordered pair as the pair of elements that occur in a particular order and are enclosed in brackets. An ordered pair consists of two numbers that are written in a fixed order.
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