EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Pair of Linear Equations in Two Variables
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Find the set of points satisfying the equation
x
=
(
−
8
)
(i)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
6
)
,
4
)
(ii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(iii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
10
)
,
(
−
2
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(iv)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
9
)
,
2
)
,
(
(
−
8
)
,
2
)
(v)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
Question
2
2.
Solve the following pair of equations :
(
3
x
−
y
)
x
y
=
20
(
2
x
−
9
y
)
x
y
=
55
(i)
(
(
-1
5
)
,
1
5
)
(ii)
(
(
-1
5
)
,
(
-1
5
)
)
(iii)
(
(
-3
5
)
,
1
5
)
(iv)
(
(
-1
5
)
,
1
3
)
(v)
(
(
-1
3
)
,
1
5
)
Question
3
3.
Solve
(
x
+
3
)
=
0
(
x
+
4
)
=
0
(i)
No solution
(ii)
(
3
,
3
)
(iii)
Infinite solutions
(iv)
(
(
−
7
)
,
(
−
6
)
)
(v)
(
(
−
5
)
,
(
−
4
)
)
Question
4
4.
Find the equation of the displayed line
(i)
y
=
8
(ii)
x
=
8
(iii)
x
=
7
(iv)
x
=
9
(v)
4
x
=
8
Question
5
5.
Any line parallel to x-axis is
(i)
a curved line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a vertical line
Question
6
6.
Which of the displayed lines represent the equation
y
=
(
−
5
4
x
)
(i)
line with point
V
(ii)
line with point
T
(iii)
line with point
X
(iv)
line with point
W
(v)
line with point
U
Question
7
7.
Find the set of points satisfying the equation
(
−
12
x
−
y
−
65
)
=
0
(i)
(
(
−
2
)
,
(
−
41
)
)
,
(
(
−
1
)
,
(
−
53
)
)
,
(
(
−
2
)
,
(
−
67
)
)
,
(
1
,
(
−
77
)
)
,
(
2
,
(
−
89
)
)
(ii)
(
(
−
2
)
,
(
−
41
)
)
,
(
(
−
1
)
,
(
−
53
)
)
,
(
1
,
(
−
66
)
)
,
(
1
,
(
−
77
)
)
,
(
2
,
(
−
89
)
)
(iii)
(
(
−
2
)
,
(
−
41
)
)
,
(
(
−
1
)
,
(
−
53
)
)
,
(
0
,
(
−
65
)
)
,
(
1
,
(
−
77
)
)
,
(
4
,
(
−
87
)
)
(iv)
(
(
−
2
)
,
(
−
41
)
)
,
(
(
−
1
)
,
(
−
53
)
)
,
(
0
,
(
−
65
)
)
,
(
0
,
(
−
76
)
)
,
(
2
,
(
−
89
)
)
(v)
(
(
−
2
)
,
(
−
41
)
)
,
(
(
−
1
)
,
(
−
53
)
)
,
(
0
,
(
−
65
)
)
,
(
1
,
(
−
77
)
)
,
(
2
,
(
−
89
)
)
Question
8
8.
Solve
(
−
3
x
−
3
y
+
27
)
=
0
(
−
8
x
+
3
y
−
16
)
=
0
(i)
(
1
,
7
)
(ii)
(
1
,
8
)
(iii)
(
4
,
8
)
(iv)
(
2
,
8
)
(v)
(
1
,
5
)
Question
9
9.
Write the given equation
y
=
(
8
9
x
+
10
9
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
8
9
x
−
2
y
−
10
9
)
=
0
(ii)
(
−
8
9
x
+
4
y
−
10
9
)
=
0
(iii)
(
−
8
9
x
+
y
−
10
9
)
=
0
(iv)
(
−
8
11
x
+
y
−
10
9
)
=
0
(v)
(
−
8
7
x
+
y
−
10
9
)
=
0
Question
10
10.
Solve the following pair of equations :
−
14
x
+
7
y
=
(
−
70
)
−
16
x
+
17
y
=
(
−
8
)
(i)
(
9
,
1
6
)
(ii)
(
11
,
1
8
)
(iii)
(
9
,
(
-1
8
)
)
(iv)
(
9
,
1
8
)
(v)
(
10
,
1
8
)
Question
11
11.
Find the set of points satisfying the equation
x
=
(
−
7
13
y
−
30
13
)
(i)
(
(
−
2
)
,
(
−
4
7
)
)
,
(
(
−
1
)
,
(
−
17
7
)
)
,
(
1
,
(
−
37
7
)
)
,
(
1
,
(
−
43
7
)
)
,
(
2
,
(
−
8
)
)
(ii)
(
(
−
2
)
,
(
−
4
7
)
)
,
(
(
−
1
)
,
(
−
17
7
)
)
,
(
(
−
2
)
,
(
−
44
7
)
)
,
(
1
,
(
−
43
7
)
)
,
(
2
,
(
−
8
)
)
(iii)
(
(
−
2
)
,
(
−
4
7
)
)
,
(
(
−
1
)
,
(
−
17
7
)
)
,
(
0
,
(
−
30
7
)
)
,
(
1
,
(
−
43
7
)
)
,
(
4
,
(
−
6
)
)
(iv)
(
(
−
2
)
,
(
−
4
7
)
)
,
(
(
−
1
)
,
(
−
17
7
)
)
,
(
0
,
(
−
30
7
)
)
,
(
0
,
(
−
36
7
)
)
,
(
2
,
(
−
8
)
)
(v)
(
(
−
2
)
,
(
−
4
7
)
)
,
(
(
−
1
)
,
(
−
17
7
)
)
,
(
0
,
(
−
30
7
)
)
,
(
1
,
(
−
43
7
)
)
,
(
2
,
(
−
8
)
)
Question
12
12.
Find the set of points satisfying the equation
(
14
x
+
9
y
−
6
)
=
0
(i)
(
(
−
2
)
,
34
9
)
,
(
(
−
1
)
,
20
9
)
,
(
0
,
2
3
)
,
(
1
,
(
−
8
9
)
)
,
(
2
,
(
−
22
9
)
)
(ii)
(
(
−
2
)
,
34
9
)
,
(
(
−
1
)
,
20
9
)
,
(
0
,
2
3
)
,
(
1
,
(
−
8
9
)
)
,
(
4
,
(
−
4
9
)
)
(iii)
(
(
−
2
)
,
34
9
)
,
(
(
−
1
)
,
20
9
)
,
(
(
−
2
)
,
(
−
4
3
)
)
,
(
1
,
(
−
8
9
)
)
,
(
2
,
(
−
22
9
)
)
(iv)
(
(
−
2
)
,
34
9
)
,
(
(
−
1
)
,
20
9
)
,
(
0
,
2
3
)
,
(
0
,
1
9
)
,
(
2
,
(
−
22
9
)
)
(v)
(
(
−
2
)
,
34
9
)
,
(
(
−
1
)
,
20
9
)
,
(
1
,
(
−
1
3
)
)
,
(
1
,
(
−
8
9
)
)
,
(
2
,
(
−
22
9
)
)
Question
13
13.
Solve the following pair of equations :
−
2
(
2
x
+
y
)
+
9
(
2
x
−
y
)
=
50
−
4
(
2
x
+
y
)
−
1
(
2
x
−
y
)
=
(
−
14
)
(i)
(
1
6
,
1
6
)
(ii)
(
1
2
,
1
6
)
(iii)
(
1
6
,
1
4
)
(iv)
(
1
8
,
1
6
)
(v)
(
1
6
,
(
-1
6
)
)
Question
14
14.
Which of the following pairs of lines are parallel?
(i)
(
8
x
−
3
y
−
49
)
=
0
,
(
−
8
x
+
3
y
+
4
)
=
0
(ii)
(
8
x
−
3
y
−
49
)
=
0
,
(
−
5
x
+
8
y
+
20
)
=
0
(iii)
(
8
x
−
3
y
−
49
)
=
0
,
(
3
x
+
8
y
−
12
)
=
0
(iv)
(
8
x
−
3
y
−
49
)
=
0
,
(
−
11
x
+
3
y
+
1
)
=
0
Question
15
15.
Solve
(
y
−
3
)
=
0
(
y
−
2
)
=
0
(i)
(
(
−
4
)
,
(
−
2
)
)
(ii)
(
(
−
1
)
,
(
−
1
)
)
(iii)
(
1
,
1
)
(iv)
No solution
(v)
Infinite solutions
Question
16
16.
Solve the following pair of equations :
(
3
x
+
8
y
)
=
4
x
y
(
8
x
+
12
y
)
=
(
−
8
x
y
)
(i)
(
1
2
,
(
-1
6
)
)
(ii)
(
3
2
,
(
-1
4
)
)
(iii)
(
1
2
,
(
-1
4
)
)
(iv)
(
1
4
,
(
-1
4
)
)
(v)
(
1
2
,
1
4
)
Question
17
17.
A line which is neither parallel to x-axis nor y-axis is
(i)
a vertical line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a curved line
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
2
3
)
,
(
(
−
1
)
,
(
−
1
6
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
11
6
)
)
,
(
2
,
(
−
8
3
)
)
?
(i)
x
=
8
(ii)
(
−
10
x
−
12
y
−
12
)
=
0
(iii)
(
7
x
+
3
y
−
1
)
=
0
(iv)
x
=
(
5
6
y
+
23
6
)
(v)
y
=
(
−
5
6
x
+
35
3
)
Question
19
19.
Which of the displayed lines represent the equation
x
=
(
−
9
)
(i)
line with point
P
(ii)
line with point
R
(iii)
line with point
O
(iv)
line with point
N
(v)
line with point
Q
Question
20
20.
Find the equation parallel to the given equation
(
6
x
−
y
−
5
)
=
0
(i)
(
−
5
x
+
6
y
+
58
)
=
0
(ii)
(
x
+
6
y
+
56
)
=
0
(iii)
(
6
x
−
y
−
13
)
=
0
(iv)
(
−
7
x
+
y
−
51
)
=
0
Question
21
21.
Solve the following pair of equations :
−
10
√
x
+
12
√
y
=
-26
5
√
x
−
3
√
y
=
19
(i)
(
1
25
,
(
-1
4
)
)
(ii)
(
1
25
,
1
4
)
(iii)
(
3
25
,
1
4
)
(iv)
(
1
27
,
1
4
)
(v)
(
1
25
,
1
2
)
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
3
)
)
,
(
0
,
(
−
3
)
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
3
)
)
?
(i)
x
=
(
7
10
y
+
51
10
)
(ii)
y
=
(
−
3
)
(iii)
(
−
7
x
−
10
y
−
18
)
=
0
(iv)
x
=
3
(v)
y
=
(
−
7
10
x
−
9
10
)
Question
23
23.
Solve
(
−
x
−
5
y
−
5
)
=
(
−
2
)
(
−
x
−
3
y
−
3
)
=
1
(i)
(
(
-21
4
)
,
1
2
)
(ii)
(
(
-21
4
)
,
1
)
(iii)
(
(
-11
2
)
,
1
2
)
(iv)
(
(
-9
2
)
,
(
-1
2
)
)
(v)
(
(
-9
2
)
,
1
)
Question
24
24.
Find the set of points satisfying the equation
y
=
(
−
1
2
x
)
(i)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
0
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
0
)
,
(
0
,
1
2
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
0
)
,
(
1
,
(
−
1
2
)
)
,
(
4
,
1
)
Question
25
25.
A motor boat can travel at a speed of 20.05 m/sec downstream and 4.15 m/sec upstream. What is the speed of the motor boat in still water?
(i)
10.10 m/sec
(ii)
12.10 m/sec
(iii)
13.10 m/sec
(iv)
11.10 m/sec
(v)
14.10 m/sec
Assignment Key
1) (ii)
2) (i)
3) (i)
4) (ii)
5) (ii)
6) (ii)
7) (v)
8) (ii)
9) (iii)
10) (iv)
11) (v)
12) (i)
13) (i)
14) (i)
15) (iv)
16) (iii)
17) (iii)
18) (ii)
19) (iv)
20) (iii)
21) (ii)
22) (ii)
23) (iii)
24) (iii)
25) (ii)
