EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Pair of Linear Equations in Two Variables
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Solve the following pair of equations :
14
x
−
7
y
=
70
−
3
x
+
1
y
=
(
−
12
)
(i)
(
1
2
,
1
6
)
(ii)
(
1
4
,
(
-1
6
)
)
(iii)
(
3
2
,
(
-1
6
)
)
(iv)
(
1
2
,
(
-1
6
)
)
(v)
(
1
2
,
(
-1
8
)
)
Question
2
2.
Find the set of points satisfying the equation
(
2
x
+
4
y
−
1
)
=
0
(i)
(
(
−
2
)
,
5
4
)
,
(
(
−
1
)
,
3
4
)
,
(
0
,
1
4
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
3
4
)
)
(ii)
(
(
−
2
)
,
5
4
)
,
(
(
−
1
)
,
3
4
)
,
(
(
−
2
)
,
(
−
7
4
)
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
3
4
)
)
(iii)
(
(
−
2
)
,
5
4
)
,
(
(
−
1
)
,
3
4
)
,
(
1
,
(
−
3
4
)
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
3
4
)
)
(iv)
(
(
−
2
)
,
5
4
)
,
(
(
−
1
)
,
3
4
)
,
(
0
,
1
4
)
,
(
1
,
(
−
1
4
)
)
,
(
4
,
5
4
)
(v)
(
(
−
2
)
,
5
4
)
,
(
(
−
1
)
,
3
4
)
,
(
0
,
1
4
)
,
(
0
,
3
4
)
,
(
2
,
(
−
3
4
)
)
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
2
,
5
)
?
(i)
x
=
(
5
7
y
+
24
7
)
(ii)
x
=
7
(iii)
y
=
5
(iv)
y
=
(
−
5
7
x
+
10
)
(v)
(
−
10
x
−
14
y
−
76
)
=
0
Question
4
4.
Solve the following pair of equations :
3
(
x
+
y
)
+
4
(
x
−
y
)
=
11
−
7
(
x
+
y
)
+
10
(
x
−
y
)
=
(
−
45
)
(i)
(
0
,
3
5
)
(ii)
(
(
-2
5
)
,
3
5
)
(iii)
(
(
-2
5
)
,
1
5
)
(iv)
(
(
-2
5
)
,
1
)
(v)
(
(
-2
7
)
,
3
5
)
Question
5
5.
Solve the following pair of equations :
(
10
x
+
6
y
)
=
(
−
54
x
y
)
(
8
x
+
17
y
)
=
30
x
y
(i)
(
1
6
,
1
9
)
(ii)
(
1
6
,
(
-1
11
)
)
(iii)
(
1
8
,
(
-1
9
)
)
(iv)
(
1
6
,
(
-1
9
)
)
(v)
(
1
2
,
(
-1
9
)
)
Question
6
6.
Solve
(
9
x
+
6
y
−
42
)
=
0
(
3
x
+
2
y
−
20
)
=
0
(i)
(
6
,
(
−
2
)
)
(ii)
(
4
,
(
−
4
)
)
(iii)
Infinite solutions
(iv)
No solution
(v)
(
2
,
7
)
Question
7
7.
Solve the following pair of equations :
2
x
−
7
y
=
16
13
x
−
12
y
=
(
−
30
)
(i)
(
-6
,
(
-1
4
)
)
(ii)
(
-4
,
(
-1
4
)
)
(iii)
(
-5
,
(
-1
4
)
)
(iv)
(
-6
,
(
-1
6
)
)
(v)
(
-6
,
1
4
)
Question
8
8.
Find the set of points satisfying the equation
y
=
(
−
1
2
x
)
(i)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
0
)
,
(
1
,
(
−
1
2
)
)
,
(
4
,
1
)
(ii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
0
)
,
(
0
,
1
2
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
1
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
0
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
1
)
)
Question
9
9.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
1
)
,
8
)
(i)
x
=
(
−
1
)
(ii)
y
=
8
(iii)
y
=
10
(iv)
x
=
1
(v)
x
=
(
−
2
)
Question
10
10.
Find the value of k such that
(
−
4
x
−
12
y
−
60
)
=
0
and
(
k
x
+
3
y
−
16
) = 0
are parallel to each other
(i)
4
(ii)
-1
(iii)
2
(iv)
0
(v)
1
Question
11
11.
Solve the following pair of equations :
(
4
x
−
9
y
)
x
y
=
69
(
−
7
x
+
y
)
x
y
=
-47
(i)
(
(
-1
5
)
,
1
4
)
(ii)
(
(
-3
5
)
,
1
6
)
(iii)
(
(
-1
5
)
,
1
6
)
(iv)
(
(
-1
5
)
,
(
-1
6
)
)
(v)
(
(
-1
3
)
,
1
6
)
Question
12
12.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
y
=
k
(ii)
y
=
0
(iii)
x
=
0
(iv)
x
=
k
(v)
x
=
y
Question
13
13.
Which of the following lines do not pass through the origin?
(i)
(
−
2
x
−
4
y
)
=
0
(ii)
(
3
x
−
y
)
=
0
(iii)
(
−
7
x
+
7
y
)
=
0
(iv)
(
3
x
+
y
)
=
0
(v)
(
y
+
7
)
=
0
Question
14
14.
Solve the following pair of equations :
8
(
x
+
y
)
+
5
(
x
−
y
)
=
(
−
2
)
6
(
x
+
y
)
+
6
(
x
−
y
)
=
(
−
6
)
(i)
(
1
6
,
3
4
)
(ii)
(
1
4
,
3
2
)
(iii)
(
1
4
,
3
4
)
(iv)
(
1
4
,
1
4
)
(v)
(
3
4
,
3
4
)
Question
15
15.
Solve
(
5
x
−
y
−
1
)
=
1
(
−
2
x
+
4
y
+
2
)
=
(
−
3
)
(i)
(
1
8
,
(
-5
4
)
)
(ii)
(
1
2
,
(
-3
2
)
)
(iii)
(
1
6
,
(
-7
6
)
)
(iv)
(
1
2
,
(
-5
4
)
)
(v)
(
1
8
,
(
-7
6
)
)
Question
16
16.
Which of the displayed lines represent the equation
y
=
(
3
4
x
−
1
2
)
(i)
line with point
Q
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
T
(v)
line with point
U
Question
17
17.
The point of intersection of x-axis and y-axis
(i)
(
0
,
3
)
(ii)
(
1
,
0
)
(iii)
(
0
,
0
)
(iv)
(
1
,
1
)
(v)
(
4
,
0
)
Question
18
18.
Solve
(
−
7
x
+
6
y
−
10
)
=
0
(
−
4
x
−
6
y
−
34
)
=
0
(i)
(
2
,
2
)
(ii)
(
3
,
7
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
(iv)
(
(
−
4
)
,
(
−
3
)
)
(v)
(
(
−
6
)
,
(
−
5
)
)
Question
19
19.
Find the equation of the line passing through the points
(
5
,
(
−
8
)
)
and
(
6
,
0
)
(i)
(
−
8
x
+
y
+
47
)
=
0
(ii)
(
−
8
x
+
y
+
56
)
=
0
(iii)
(
7
x
−
y
−
48
)
=
0
(iv)
(
8
x
−
y
−
48
)
=
0
(v)
(
9
x
−
y
−
48
)
=
0
Question
20
20.
Which of the following equations satisfy the given points
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
?
(i)
(
8
x
+
3
y
−
2
)
=
0
(ii)
x
=
(
7
3
y
−
52
3
)
(iii)
y
=
4
(iv)
x
=
(
−
8
)
(v)
y
=
(
−
7
3
x
−
44
3
)
Question
21
21.
Which of the displayed lines represent the equation
y
=
(
−
4
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
P
(v)
line with point
T
Question
22
22.
Find the equation of the displayed line
(i)
y
=
7
(ii)
y
=
5
(iii)
y
=
6
(iv)
x
=
6
(v)
4
y
=
6
Question
23
23.
Which of the displayed lines represent the equation
(
5
x
−
5
y
)
=
0
?
(i)
line with point
N
(ii)
line with point
Q
(iii)
line with point
O
(iv)
line with point
P
(v)
line with point
M
Question
24
24.
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)
y
=
0
(v)
x
=
y
Question
25
25.
Which of the following pairs of lines are parallel?
(i)
(
−
4
x
+
10
y
+
58
)
=
0
,
(
−
7
x
+
5
y
−
71
)
=
0
(ii)
(
−
4
x
+
10
y
+
58
)
=
0
,
(
−
2
x
+
5
y
−
31
)
=
0
(iii)
(
−
4
x
+
10
y
+
58
)
=
0
,
(
5
x
+
2
y
)
=
0
(iv)
(
−
4
x
+
10
y
+
58
)
=
0
,
(
3
x
+
2
y
+
4
)
=
0
Assignment Key
1) (iv)
2) (i)
3) (iii)
4) (ii)
5) (iv)
6) (iv)
7) (i)
8) (v)
9) (i)
10) (v)
11) (iii)
12) (i)
13) (v)
14) (iii)
15) (iii)
16) (i)
17) (iii)
18) (iv)
19) (iv)
20) (iv)
21) (iv)
22) (iii)
23) (v)
24) (iii)
25) (ii)
