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 :
11
x
+
13
y
=
51
3
x
+
4
y
=
13
(i)
(
1
7
,
(
-1
2
)
)
(ii)
(
1
9
,
(
-1
2
)
)
(iii)
(
1
7
,
1
2
)
(iv)
(
3
7
,
(
-1
2
)
)
(v)
(
1
7
,
(
-1
4
)
)
Question
2
2.
Solve
(
−
2
x
+
3
y
−
8
)
=
0
(
y
−
2
)
=
0
(i)
(
5
,
5
)
(ii)
(
1
,
4
)
(iii)
(
1
,
1
)
(iv)
(
(
−
3
)
,
0
)
(v)
(
(
−
1
)
,
2
)
Question
3
3.
Find the equation parallel to the given equation
(i)
(
x
+
3
y
+
12
)
=
0
(ii)
(
−
2
x
+
y
)
=
0
(iii)
(
3
x
−
y
+
2
)
=
0
(iv)
(
−
4
x
+
y
−
8
)
=
0
Question
4
4.
Solve
(
y
−
5
)
=
0
(
y
+
6
)
=
0
(i)
Infinite solutions
(ii)
(
(
−
7
)
,
(
−
3
)
)
(iii)
(
(
−
1
)
,
2
)
(iv)
(
(
−
3
)
,
0
)
(v)
No solution
Question
5
5.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
34
5
)
)
,
(
(
−
1
)
,
(
−
79
10
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
101
10
)
)
,
(
2
,
(
−
56
5
)
)
?
(i)
x
=
0
(ii)
x
=
(
11
10
y
+
99
10
)
(iii)
y
=
(
−
9
)
(iv)
y
=
(
−
11
10
x
−
9
)
(v)
(
10
x
+
9
y
−
5
)
=
0
Question
6
6.
Which of the following lines pass through the origin?
(i)
(
9
x
−
27
)
=
0
(ii)
(
2
x
−
7
y
−
48
)
=
0
(iii)
(
x
+
6
y
−
21
)
=
0
(iv)
(
3
x
−
3
y
)
=
0
(v)
(
−
12
x
+
y
−
40
)
=
0
Question
7
7.
Which of the displayed lines represent the equation
(
5
x
−
3
y
+
9
)
=
0
?
(i)
line with point
X
(ii)
line with point
U
(iii)
line with point
V
(iv)
line with point
T
(v)
line with point
W
Question
8
8.
Solve the following pair of equations :
14
(
4
x
+
y
)
−
13
(
4
x
−
y
)
=
8
−
1
(
4
x
+
y
)
−
3
(
4
x
−
y
)
=
23
(i)
(
(
-3
80
)
,
(
-1
60
)
)
(ii)
(
(
-11
240
)
,
(
-1
58
)
)
(iii)
(
(
-1
22
)
,
(
-1
60
)
)
(iv)
(
(
-11
240
)
,
(
-1
20
)
)
(v)
(
(
-11
240
)
,
(
-1
60
)
)
Question
9
9.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
7
)
,
3
)
(i)
y
=
3
(ii)
x
=
(
−
7
)
(iii)
y
=
5
(iv)
x
=
(
−
8
)
(v)
x
=
(
−
5
)
Question
10
10.
Find the set of points satisfying the equation
x
=
(
2
7
y
−
2
7
)
(i)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
1
,
9
2
)
,
(
2
,
8
)
(ii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
2
)
)
,
(
0
,
1
)
,
(
1
,
9
2
)
,
(
2
,
8
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
2
)
)
,
(
0
,
1
)
,
(
1
,
9
2
)
,
(
4
,
10
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
2
)
)
,
(
0
,
1
)
,
(
0
,
11
2
)
,
(
2
,
8
)
(v)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
5
2
)
)
,
(
1
,
0
)
,
(
1
,
9
2
)
,
(
2
,
8
)
Question
11
11.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
7
)
,
(
(
−
1
)
,
3
7
)
,
(
0
,
1
7
)
,
(
1
,
(
−
1
7
)
)
,
(
2
,
(
−
3
7
)
)
?
(i)
x
=
(
−
5
)
(ii)
y
=
(
−
2
x
−
11
)
(iii)
y
=
(
−
1
)
(iv)
(
2
x
+
7
y
−
1
)
=
0
(v)
(
−
12
x
−
6
y
−
6
)
=
0
Question
12
12.
Solve the following pair of equations :
−
4
(
x
+
y
)
−
4
(
x
−
y
)
=
(
−
12
)
8
(
x
+
y
)
+
4
(
x
−
y
)
=
32
(i)
(
(
-3
20
)
,
1
4
)
(ii)
(
(
-3
22
)
,
7
20
)
(iii)
(
(
-1
20
)
,
7
20
)
(iv)
(
(
-3
20
)
,
7
20
)
(v)
(
(
-3
20
)
,
7
18
)
Question
13
13.
Which of the displayed lines represent the equation
y
=
(
−
8
3
x
)
(i)
line with point
P
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
Q
(v)
line with point
O
Question
14
14.
Find the set of points satisfying the equation
y
=
6
(i)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
1
,
5
)
,
(
1
,
6
)
,
(
2
,
6
)
(ii)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
0
,
6
)
,
(
1
,
6
)
,
(
2
,
6
)
(iii)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
(
−
2
)
,
4
)
,
(
1
,
6
)
,
(
2
,
6
)
(iv)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
0
,
6
)
,
(
1
,
6
)
,
(
4
,
8
)
(v)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
6
)
,
(
0
,
6
)
,
(
0
,
7
)
,
(
2
,
6
)
Question
15
15.
Which of the displayed lines represent the equation
y
=
4
(i)
line with point
P
(ii)
line with point
Q
(iii)
line with point
S
(iv)
line with point
T
(v)
line with point
R
Question
16
16.
Find the set of points satisfying the equation
x
=
8
(i)
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
9
,
(
−
1
)
)
,
(
8
,
1
)
,
(
8
,
2
)
(ii)
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
6
,
(
−
2
)
)
,
(
8
,
1
)
,
(
8
,
2
)
(iii)
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
8
,
0
)
,
(
7
,
2
)
,
(
8
,
2
)
(iv)
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
8
,
0
)
,
(
8
,
1
)
,
(
8
,
2
)
(v)
(
8
,
(
−
2
)
)
,
(
8
,
(
−
1
)
)
,
(
8
,
0
)
,
(
8
,
1
)
,
(
10
,
4
)
Question
17
17.
Solve the following pair of equations :
−
4
x
+
17
y
=
53
−
9
x
+
9
y
=
(
−
27
)
(i)
(
8
,
(
-1
5
)
)
(ii)
(
11
,
1
5
)
(iii)
(
8
,
1
3
)
(iv)
(
9
,
1
5
)
(v)
(
8
,
1
5
)
Question
18
18.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
5
)
,
(
−
7
)
)
(i)
y
=
(
−
4
)
(ii)
y
=
(
−
7
)
(iii)
x
=
(
−
3
)
(iv)
x
=
(
−
5
)
(v)
y
=
(
−
8
)
Question
19
19.
Solve the following pair of equations :
(
−
7
x
−
8
y
)
=
(
−
51
x
y
)
(
4
x
−
2
y
)
=
16
x
y
(i)
(
1
2
,
1
5
)
(ii)
(
3
2
,
1
5
)
(iii)
(
1
2
,
1
3
)
(iv)
(
1
4
,
1
5
)
(v)
(
1
2
,
(
-1
5
)
)
Question
20
20.
The point of intersection of x-axis and y-axis
(i)
(
5
,
0
)
(ii)
(
0
,
2
)
(iii)
(
1
,
0
)
(iv)
(
1
,
1
)
(v)
(
0
,
0
)
Question
21
21.
Find the set of points satisfying the equation
y
=
(
−
2
x
+
5
)
(i)
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
7
)
,
(
1
,
4
)
,
(
1
,
3
)
,
(
2
,
1
)
(ii)
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
7
)
,
(
0
,
5
)
,
(
1
,
3
)
,
(
2
,
1
)
(iii)
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
7
)
,
(
0
,
5
)
,
(
0
,
4
)
,
(
2
,
1
)
(iv)
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
7
)
,
(
0
,
5
)
,
(
1
,
3
)
,
(
4
,
3
)
(v)
(
(
−
2
)
,
9
)
,
(
(
−
1
)
,
7
)
,
(
(
−
2
)
,
3
)
,
(
1
,
3
)
,
(
2
,
1
)
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
6
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
6
)
)
,
(
2
,
(
−
6
)
)
?
(i)
(
−
3
x
−
9
y
+
3
)
=
0
(ii)
y
=
(
−
6
)
(iii)
(
4
x
+
4
y
−
3
)
=
0
(iv)
x
=
(
1
3
y
−
4
)
(v)
x
=
(
−
6
)
Question
23
23.
Solve
(
−
6
x
+
y
−
14
)
=
0
(
x
+
2
)
=
0
(i)
(
(
−
2
)
,
0
)
(ii)
(
(
−
2
)
,
2
)
(iii)
(
0
,
2
)
(iv)
(
(
−
3
)
,
(
−
4
)
)
(v)
(
7
,
2
)
Question
24
24.
Solve the following pair of equations :
7
(
x
+
3
)
+
2
(
y
−
5
)
=
(
−
25
)
−
3
(
x
+
3
)
+
6
(
y
−
5
)
=
(
−
3
)
(i)
(
(
-10
3
)
,
-1
)
(ii)
(
(
-10
3
)
,
-3
)
(iii)
(
1
,
9
2
)
(iv)
(
(
-10
3
)
,
9
2
)
(v)
(
2
,
9
2
)
Question
25
25.
Which of the following lines do not pass through the origin?
(i)
(
−
x
+
10
y
+
66
)
=
0
(ii)
(
2
x
+
4
y
)
=
0
(iii)
(
−
4
x
−
8
y
)
=
0
(iv)
(
−
7
x
+
4
y
)
=
0
(v)
(
3
x
−
6
y
)
=
0
Assignment Key
1) (i)
2) (v)
3) (iii)
4) (v)
5) (iv)
6) (iv)
7) (iv)
8) (v)
9) (ii)
10) (ii)
11) (iv)
12) (iv)
13) (v)
14) (ii)
15) (i)
16) (iv)
17) (v)
18) (ii)
19) (i)
20) (v)
21) (ii)
22) (ii)
23) (ii)
24) (iv)
25) (i)
