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.
Solve
(
−
5
x
+
4
y
+
1
)
=
0
(
−
5
x
+
2
y
−
5
)
=
0
(i)
(
(
-11
5
)
,
-3
)
(ii)
(
(
-15
7
)
,
-3
)
(iii)
(
(
-9
5
)
,
-5
)
(iv)
(
(
-9
5
)
,
-4
)
(v)
(
(
-15
7
)
,
-4
)
Question
2
2.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
not same
(ii)
same
(iii)
1
(iv)
2
(v)
not proportional
Question
3
3.
Find the set of points satisfying the equation
y
=
(
−
8
13
x
)
(i)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
8
13
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
8
13
)
)
,
(
2
,
(
−
16
13
)
)
(ii)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
8
13
)
,
(
0
,
0
)
,
(
1
,
(
−
8
13
)
)
,
(
2
,
(
−
16
13
)
)
(iii)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
8
13
)
,
(
0
,
0
)
,
(
0
,
5
13
)
,
(
2
,
(
−
16
13
)
)
(iv)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
8
13
)
,
(
0
,
0
)
,
(
1
,
(
−
8
13
)
)
,
(
4
,
10
13
)
(v)
(
(
−
2
)
,
16
13
)
,
(
(
−
1
)
,
8
13
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
8
13
)
)
,
(
2
,
(
−
16
13
)
)
Question
4
4.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
k
(ii)
x
=
0
(iii)
x
=
k
(iv)
x
=
y
(v)
y
=
0
Question
5
5.
Solve
(
−
5
x
+
6
y
−
14
)
=
0
(
2
x
−
11
y
−
3
)
=
0
(i)
(
(
−
3
)
,
(
−
2
)
)
(ii)
(
(
−
2
)
,
1
)
(iii)
(
(
−
5
)
,
0
)
(iv)
(
(
−
4
)
,
(
−
1
)
)
(v)
(
(
−
6
)
,
(
−
3
)
)
Question
6
6.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
an oblique line
(iv)
a vertical line
Question
7
7.
Solve
(
11
x
−
3
y
+
43
)
=
0
(
−
4
x
−
3
y
+
13
)
=
0
(i)
(
1
,
4
)
(ii)
(
(
−
4
)
,
5
)
(iii)
(
0
,
9
)
(iv)
(
5
,
4
)
(v)
(
(
−
2
)
,
7
)
Question
8
8.
Find the set of points satisfying the equation
y
=
(
−
11
x
−
93
)
(i)
(
(
−
2
)
,
(
−
71
)
)
,
(
(
−
1
)
,
(
−
82
)
)
,
(
(
−
2
)
,
(
−
95
)
)
,
(
1
,
(
−
104
)
)
,
(
2
,
(
−
115
)
)
(ii)
(
(
−
2
)
,
(
−
71
)
)
,
(
(
−
1
)
,
(
−
82
)
)
,
(
0
,
(
−
93
)
)
,
(
1
,
(
−
104
)
)
,
(
2
,
(
−
115
)
)
(iii)
(
(
−
2
)
,
(
−
71
)
)
,
(
(
−
1
)
,
(
−
82
)
)
,
(
1
,
(
−
94
)
)
,
(
1
,
(
−
104
)
)
,
(
2
,
(
−
115
)
)
(iv)
(
(
−
2
)
,
(
−
71
)
)
,
(
(
−
1
)
,
(
−
82
)
)
,
(
0
,
(
−
93
)
)
,
(
0
,
(
−
103
)
)
,
(
2
,
(
−
115
)
)
(v)
(
(
−
2
)
,
(
−
71
)
)
,
(
(
−
1
)
,
(
−
82
)
)
,
(
0
,
(
−
93
)
)
,
(
1
,
(
−
104
)
)
,
(
4
,
(
−
113
)
)
Question
9
9.
Solve
(
y
−
5
)
=
0
(
y
+
6
)
=
0
(i)
No solution
(ii)
(
5
,
(
−
4
)
)
(iii)
(
3
,
(
−
6
)
)
(iv)
(
6
,
2
)
(v)
Infinite solutions
Question
10
10.
Solve
(
5
x
−
5
y
−
20
)
=
0
(
y
+
6
)
=
0
(i)
(
(
−
7
)
,
4
)
(ii)
(
0
,
(
−
6
)
)
(iii)
(
(
−
2
)
,
0
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
(v)
(
3
,
(
−
1
)
)
Question
11
11.
Solve
(
x
+
7
)
=
0
(
x
+
3
)
=
0
(i)
(
(
−
1
)
,
(
−
4
)
)
(ii)
(
(
−
3
)
,
(
−
6
)
)
(iii)
No solution
(iv)
Infinite solutions
(v)
(
(
−
4
)
,
2
)
Question
12
12.
A line which is neither parallel to x-axis nor y-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a curved line
(iv)
a horizontal line
Question
13
13.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
4
,
9
)
(i)
x
=
3
(ii)
y
=
9
(iii)
x
=
4
(iv)
y
=
12
(v)
x
=
6
Question
14
14.
Which of the following equations satisfy the given points
(
(
−
2
)
,
3
)
,
(
(
−
1
)
,
7
4
)
,
(
0
,
1
2
)
,
(
1
,
(
−
3
4
)
)
,
(
2
,
(
−
2
)
)
?
(i)
x
=
(
−
6
)
(ii)
y
=
(
−
7
)
(iii)
x
=
(
12
17
y
−
18
17
)
(iv)
(
5
x
+
4
y
−
2
)
=
0
(v)
(
−
12
x
−
17
y
−
40
)
=
0
Question
15
15.
Which of the displayed lines represent the equation
y
=
(
x
−
3
)
(i)
line with point
W
(ii)
line with point
V
(iii)
line with point
U
(iv)
line with point
S
(v)
line with point
T
Question
16
16.
Solve the following pair of equations :
9
x
−
2
y
=
(
−
25
)
8
x
−
5
y
=
(
−
19
)
(i)
(
(
-1
3
)
,
-2
)
(ii)
(
(
-1
3
)
,
-4
)
(iii)
(
(
-1
3
)
,
-1
)
(iv)
(
-1
,
-1
)
Question
17
17.
Solve
(
−
x
+
6
y
+
43
)
=
0
(
−
x
+
6
y
−
33
)
=
0
(i)
(
5
,
(
−
8
)
)
(ii)
(
7
,
(
−
6
)
)
(iii)
(
(
−
3
)
,
5
)
(iv)
Infinite solutions
(v)
No solution
Question
18
18.
Solve the following pair of equations :
5
x
−
18
y
=
117
13
x
−
11
y
=
(
−
18
)
(i)
(
(
-1
9
)
,
(
-1
9
)
)
(ii)
(
(
-1
3
)
,
(
-1
9
)
)
(iii)
(
(
-1
9
)
,
1
9
)
(iv)
(
(
-1
7
)
,
(
-1
9
)
)
(v)
(
(
-1
9
)
,
(
-1
11
)
)
Question
19
19.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
6
)
,
7
)
(i)
y
=
10
(ii)
x
=
(
−
6
)
(iii)
y
=
7
(iv)
x
=
(
−
3
)
(v)
y
=
6
Question
20
20.
Solve the following pair of equations :
1
(
4
x
+
y
)
+
9
(
4
x
−
y
)
=
(
−
38
)
6
(
4
x
+
y
)
+
16
(
4
x
−
y
)
=
(
−
38
)
(i)
(
(
-1
142
)
,
6
35
)
(ii)
(
(
-1
140
)
,
2
11
)
(iii)
(
(
-1
140
)
,
6
35
)
(iv)
(
(
-1
140
)
,
4
35
)
(v)
(
1
140
,
6
35
)
Question
21
21.
Which of the following equations satisfy the given points
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
8
,
0
)
,
(
8
,
1
)
,
(
8
,
2
)
?
(i)
x
=
8
(ii)
(
−
6
x
−
13
y
+
29
)
=
0
(iii)
y
=
(
−
6
13
x
−
17
13
)
(iv)
x
=
(
6
13
y
+
134
13
)
(v)
y
=
(
−
5
)
Question
22
22.
Solve the following pair of equations :
7
x
+
5
y
=
(
−
39
)
12
x
+
3
y
=
(
−
39
)
(i)
(
-2
,
(
-1
5
)
)
(ii)
(
1
,
(
-1
5
)
)
(iii)
(
-2
,
1
5
)
(iv)
(
-1
,
(
-1
5
)
)
(v)
(
-2
,
(
-1
7
)
)
Question
23
23.
Solve
(
2
x
+
4
y
−
2
)
=
(
−
x
−
3
y
)
(
−
x
+
3
y
−
1
)
=
(
−
5
x
−
2
y
−
5
)
(i)
(
(
-14
5
)
,
18
11
)
(ii)
(
(
-36
13
)
,
18
11
)
(iii)
(
(
-38
13
)
,
20
13
)
(iv)
(
(
-36
13
)
,
18
13
)
(v)
(
(
-14
5
)
,
20
13
)
Question
24
24.
Which of the following pairs of lines are parallel?
(i)
(
6
x
−
y
−
47
)
=
0
,
(
−
6
x
+
y
)
=
0
(ii)
(
6
x
−
y
−
47
)
=
0
,
(
−
5
x
+
6
y
−
22
)
=
0
(iii)
(
6
x
−
y
−
47
)
=
0
,
(
−
7
x
+
y
+
1
)
=
0
(iv)
(
6
x
−
y
−
47
)
=
0
,
(
x
+
6
y
−
46
)
=
0
Question
25
25.
Which of the displayed lines represent the equation
(
4
x
−
3
y
−
3
)
=
0
?
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
P
(iv)
line with point
O
(v)
line with point
Q
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iii)
5) (iv)
6) (i)
7) (v)
8) (ii)
9) (i)
10) (iv)
11) (iii)
12) (i)
13) (iii)
14) (iv)
15) (iv)
16) (iii)
17) (v)
18) (i)
19) (iii)
20) (iii)
21) (i)
22) (i)
23) (iii)
24) (i)
25) (iv)
