ORDERED PAIR- Class 9 Secondary education board, Nepal

1. 6/27/2020 JANAK SIGNGH SAUD 1

2. You have 20 coins of Rs. 2. How much coins can
you give to two friends “A” and “B” ? Discuss and
fill out the table below.
A 1 2 3 4 5 6 7 … …
B … … … … … … … 11 12
8
12
A
B
1
19
3
17
4
16
5
15
6
14
7
13
9
11
2
18
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3. Fill in the blanks so that the equation 2x + y =
18 is valid
X
y
0
18
1
16
2
14
-2
22
5
8
3
12
From the figure given along side, write the coordinates of points A,
B, C and D. join the point in order, which figure is formed? Explain
• A(3, 4)
• B(7, 3)
• C(5, 1)
• D(2, 2)
ABCD is a quadrilateral
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4. Ordered Pair
Rakesh and Rima are seen standing in a
row. What in the difference between
these two situations? Discuss
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5. In set A there are two members 4 and 5.
If we write rin listing method then A = {
4, 5} or A = {5, 4}.
Do (4, 5) and (5, 4) represent the same
point? Represent in graph.
4 and 5 are placed in certain order in
the (4, 5) And (5, 4)
In (4, 5), the first element or member or
antecedent is 4 and second element/
consequence is 5
In (5, 4), the first element/antecedent is 5
and second element/ consequence is 4
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6. (x, y) and (y, x) are not the same.
(4, 5) and (5, 4) are not same.
• {4, 5} is a set having elements 4 and 5 but (4, 5) is an ordered pair.
Think of putting the left shoe on your right leg.
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https://images.app.goo.gl/SbbReZ6vYeBDamwi7
https://images.app.goo.gl/EspuzxuB9t9hhFBi7
https://images.app.goo.gl/oD1nPY5nGowdQzuL6

7. In ordered pair (4, 5)
X-component Y-component
antecedent consequence
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8. Equal ordered pairs
• Two ordered pairs are equal if their corresponding elements are
equal.
if and only if a = c and b = d(a, b) = (c, d),
EXAMPLE: 𝟔,
𝟏𝟖
𝟐
=
𝟏𝟐
𝟐
, 𝟗
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9. Which of the following ordered pairs are
equal ?
a) (2, 3) and (4, 2)
b) (1, 2) and (2, 1)
c) (6, 4) and (6, 5 – 1)
d) (5 + 2, 8) and(7, 6 + 2)
e) (8, 5) and (7 + 1, 5)
f) (8, 8) and (9, 9)
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10. If (3x, 2y + 2) = (12, 3y – 1), then find the
values of x and y.
Soln .
Here (3x , 2y + 2) = (12, 3y – 1)
Equating the corresponding element, we have
3x = 12
X = 4
2y + 2 = 3y – 1
Or, 2y – 3y = - 1 -2
Or, ,- y = - 3
Or, y = 3
Hence , x = 4 and y = 4
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11. Example 2) Find the value of x and y if (2x – 1, y + 2) = ( - 1, 2)
3) If (2x + 4, y +5) = (3x + 3, 6), then find the value of x and y.
4) IF (3x – 6), y + 2) = (x – 2, 4), then find x and y.
5) If (x + y, y + 3) = (6, 2y), then find x and y. [Ans. X = 3 and y = 3]
y + 3 = 2y
3 = 2y – y
3 = y
Also x + y = 6
x + 3 = 6
x = 6 – 3 = 3
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12. 6 (x + y , 0) = (8, x – y), then find x and y.
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