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RELATIONS TYPE 1 GAME (A)
RELATIONS TYPE 1 GAME (A)
Plotting 2D coordinates and ordered pairs on a graph
Plotting 2D coordinates and ordered pairs on a graph
RELATIONS TYPE 1 GAME (B)
RELATIONS TYPE 1 GAME (B)
condition for their equality
condition for their equality
RELATIONS TYPE 1 GAME (C)
RELATIONS TYPE 1 GAME (C)
relation between first and second component
relation between first and second component
Q. Represent the following ordered pairs on different physical points of a plane. Further show that interchanging the elements of an ordered pair, changes the physical point.
Q. Represent the following ordered pairs on different physical points of a plane. Further show that interchanging the elements of an ordered pair, changes the physical point.
(i) (1, 3)
[Arrows pointing: 1 -> x, 3 -> y]
A is the point on the cartesian plane corresponding to the ordered pair (1,3).
If we interchange the coordinates/elements i.e. (3, 1) then it gives a different point.
.. Ordered pair (1, 3) != Ordered pair (3, 1)
=> Order is important,,
Q. Represent the following ordered pairs on different physical points of a plane. Further show that interchanging the elements of an ordered pair, changes the physical point.
Q. Represent the following ordered pairs on different physical points of a plane. Further show that interchanging the elements of an ordered pair, changes the physical point.
(2, 4) [Arrows pointing: 2 -> x, 4 -> y]
A is the point on the cartesian plane corresponding to the ordered pair (2, 4).
If we interchange the coordinates/elements i.e. B(4, 2) then it gives a different point.
.. Ordered pair (2, 4) != Ordered pair (4, 2) => Order is important,,
Q. Represent the following ordered pairs on different physical points of a plane. Further show that interchanging the elements of an ordered pair, changes the physical point.
Q. Represent the following ordered pairs on different physical points of a plane. Further show that interchanging the elements of an ordered pair, changes the physical point.
(2, 3) [Arrows pointing: 2 -> x, 3 -> y]
A is the point on the cartesian plane corresponding to the ordered pair (2, 3).
If we interchange the coordinates/elements i.e. (3, 2) then it gives a different point.
.. Ordered pair (2, 3) != Ordered pair (3, 2) => Order is important,,
Q. Find the values of 'a' and 'b' if (3a - 2, b + 3) = (2a - 1, 3)
Q. Find the values of 'a' and 'b' if (3a - 2, b + 3) = (2a - 1, 3)
(a, b) = (c, d) (equality of 2 ordered pairs) => a = c and b = d
Similarly, 3a - 2 = 2a - 1 => 3a - 2 - 2a = -1 => 1a - 2 = -1 => a = -1 + 2 => a = 1 . . . . (1)
b + 3 = 3 => b = 3 - 3 => b = 0 . . . . (2)
Ans: a is 1 & b is zero,,
Q. Find x and y if (x + 3, 5) = (6, 2x + y).
Q. Find x and y if (x + 3, 5) = (6, 2x + y).
(a, b) = (c, d) if & only if a = c & b = d (condition for equality of ordered pairs)
Similarly, x + 3 = 6 => x = 6 - 3 => x = 3 . . . (1)
5 = 2x + y => 5 = 2(3) + y (.: from (1) x = 3) => 5 = 6 + y => 5 - 6 = y => -1 = y . . . (2)
Ans: x is "3" and y is "-1",,
Q. If (x + 1, 1) = (3, y - 2), find the values of x and y.
Q. If (x + 1, 1) = (3, y - 2), find the values of x and y.
x + 1 = 3 . . . . (1) 1 = y - 2 . . . . (2)
(.: (a, b) = (c, d) then a = c and b = d)
From (1), x = 3 - 1 => x = 2
From (2), 1 + 2 = y => 3 = y
Ans: x is 2 and y is 3,,
Q. If (a/3 + 1, b - 2/3) = (5/3, 1/3), find the values of 'a' and 'b'.
Q. If (a/3 + 1, b - 2/3) = (5/3, 1/3), find the values of 'a' and 'b'.
If (a, b) = (c, d) then a = c and b = d (Condition for equality of ordered pairs)
.: a/3 + 1 = 5/3 . . . . (1)
=> a/3 = 5/3 - 1
=> a/3 = (5 - 1x3)/3
=> a/3 = (5 - 3)/3
=> a/3 = 2/3
=> a = (2/3) x 3
=> a = 2 ,, (.: 2/1 = 2)
.: b - 2/3 = 1/3 . . . . (2)
=> b = 1/3 + 2/3
=> b = (1 + 2)/3
=> b = 3/3
=> b = 1 ,, (.: 1/1 = 1)
Ans: a is 2 and b is 1,,
Q. If the ordered pairs (x, -1) and (5, y) belong to a set { (a, b) : b = 2a - 3 }, then find the values of x and y.
Q. If the ordered pairs (x, -1) and (5, y) belong to a set { (a, b) : b = 2a - 3 }, then find the values of x and y.
I. (x, -1) : -1 = 2(x) - 3
=> -1 + 3 = 2x
=> 2 = 2x
=> 2/2 = x
=> 1 = x ,, (.: 1/1 = 1)
II. (5, y) : y = 2(5) - 3
=> y = 10 - 3
=> y = 7
Ans: x is 1 and y is 7,,
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