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
(
11
x
−
4
y
−
9
)
=
0
(
22
x
−
8
y
−
18
)
=
0
(i)
(
(
−
1
)
,
(
−
5
)
)
(ii)
No solution
(iii)
Infinite solutions
(iv)
(
3
,
6
)
(v)
(
3
,
7
)
Question
2
2.
Solve
(
3
x
+
y
−
9
)
=
0
(
3
x
+
y
+
3
)
=
0
(i)
Infinite solutions
(ii)
No solution
(iii)
(
1
,
(
−
2
)
)
(iv)
(
1
,
(
−
6
)
)
(v)
(
3
,
0
)
Question
3
3.
Solve
(
y
+
2
)
=
0
(
y
−
6
)
=
0
(i)
(
2
,
(
−
7
)
)
(ii)
No solution
(iii)
(
7
,
(
−
1
)
)
(iv)
Infinite solutions
(v)
(
5
,
(
−
3
)
)
Question
4
4.
Which of the following equations satisfy the given points
(
(
−
2
)
,
11
4
)
,
(
(
−
1
)
,
2
)
,
(
0
,
5
4
)
,
(
1
,
1
2
)
,
(
2
,
(
−
1
4
)
)
?
(i)
(
−
9
x
−
12
y
+
15
)
=
0
(ii)
x
=
(
3
4
y
−
9
)
(iii)
x
=
(
−
9
)
(iv)
y
=
(
−
3
4
x
−
27
4
)
(v)
y
=
0
Question
5
5.
Find the equation of the line passing through the points
(
2
,
(
−
7
)
)
and
(
(
−
4
)
,
3
)
(i)
(
10
x
+
6
y
+
22
)
=
0
(ii)
(
5
x
+
3
y
+
8
)
=
0
(iii)
(
5
x
+
3
y
+
6
)
=
0
(iv)
(
9
x
+
6
y
+
22
)
=
0
(v)
(
11
x
+
6
y
+
22
)
=
0
Question
6
6.
Which of the following equations satisfy the given points
(
(
−
2
)
,
17
10
)
,
(
(
−
1
)
,
11
10
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
10
)
)
,
(
2
,
(
−
7
10
)
)
?
(i)
y
=
2
(ii)
(
6
x
+
10
y
−
5
)
=
0
(iii)
y
=
(
−
18
13
x
+
188
13
)
(iv)
x
=
9
(v)
(
−
18
x
−
13
y
+
27
)
=
0
Question
7
7.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
0
,
8
)
(i)
x
=
(
−
1
)
(ii)
y
=
11
(iii)
x
=
0
(iv)
y
=
8
(v)
x
=
2
Question
8
8.
Find the equation of the displayed line
(i)
y
=
8
(ii)
3
x
=
8
(iii)
x
=
9
(iv)
x
=
7
(v)
x
=
8
Question
9
9.
The point of intersection of x-axis and y-axis
(i)
(
0
,
0
)
(ii)
(
0
,
2
)
(iii)
(
1
,
1
)
(iv)
(
2
,
0
)
(v)
(
1
,
0
)
Question
10
10.
Find the equation of the displayed line
(i)
y
=
(
−
5
)
(ii)
x
=
(
−
5
)
(iii)
4
y
=
(
−
5
)
(iv)
y
=
(
−
6
)
(v)
y
=
(
−
4
)
Question
11
11.
Solve the following pair of equations :
2
(
2
x
+
y
)
−
3
(
2
x
−
y
)
=
(
−
1
)
−
4
(
2
x
+
y
)
+
1
(
2
x
−
y
)
=
(
−
13
)
(i)
(
7
50
,
(
-1
24
)
)
(ii)
(
3
16
,
(
-1
24
)
)
(iii)
(
7
48
,
(
-1
8
)
)
(iv)
(
7
48
,
(
-1
24
)
)
(v)
(
7
48
,
(
-1
22
)
)
Question
12
12.
Solve
(
−
5
x
+
13
y
−
48
)
=
0
(
y
−
6
)
=
0
(i)
(
6
,
6
)
(ii)
(
1
,
5
)
(iii)
(
6
,
0
)
(iv)
(
0
,
6
)
(v)
(
(
−
7
)
,
1
)
Question
13
13.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
k
(ii)
y
=
k
(iii)
y
=
0
(iv)
x
=
0
(v)
x
=
y
Question
14
14.
Solve the following pair of equations :
−
11
(
x
+
7
)
+
8
(
y
−
7
)
=
(
−
28
)
−
6
(
x
+
7
)
+
7
(
y
−
7
)
=
(
−
10
)
(i)
(
(
-27
4
)
,
15
2
)
(ii)
(
(
-27
4
)
,
-3
)
(iii)
(
1
,
15
2
)
(iv)
(
3
,
15
2
)
(v)
(
(
-27
4
)
,
-1
)
Question
15
15.
Which of the following equations satisfy the given points
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
2
,
7
)
?
(i)
x
=
(
13
11
y
−
91
11
)
(ii)
y
=
7
(iii)
(
4
x
+
5
y
−
2
)
=
0
(iv)
(
−
13
x
−
11
y
−
1
)
=
0
(v)
y
=
(
−
13
11
x
+
7
)
Question
16
16.
Find the set of points satisfying the equation
(
8
x
+
2
y
−
1
)
=
0
(i)
(
(
−
2
)
,
17
2
)
,
(
(
−
1
)
,
9
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
7
2
)
)
,
(
4
,
(
−
11
2
)
)
(ii)
(
(
−
2
)
,
17
2
)
,
(
(
−
1
)
,
9
2
)
,
(
0
,
1
2
)
,
(
0
,
(
−
5
2
)
)
,
(
2
,
(
−
15
2
)
)
(iii)
(
(
−
2
)
,
17
2
)
,
(
(
−
1
)
,
9
2
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
7
2
)
)
,
(
2
,
(
−
15
2
)
)
(iv)
(
(
−
2
)
,
17
2
)
,
(
(
−
1
)
,
9
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
7
2
)
)
,
(
2
,
(
−
15
2
)
)
(v)
(
(
−
2
)
,
17
2
)
,
(
(
−
1
)
,
9
2
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
7
2
)
)
,
(
2
,
(
−
15
2
)
)
Question
17
17.
Find the value of k such that
(
x
+
5
)
=
0
and
(
k
x
) = 0
are parallel to each other
(i)
2
(ii)
-1
(iii)
1
(iv)
3
(v)
0
Question
18
18.
Which of the displayed lines represent the equation
y
=
(
3
5
x
+
1
5
)
(i)
line with point
P
(ii)
line with point
T
(iii)
line with point
Q
(iv)
line with point
R
(v)
line with point
S
Question
19
19.
Which of the following lines do not pass through the origin?
(i)
(
4
x
−
3
y
)
=
0
(ii)
(
3
x
+
8
y
+
45
)
=
0
(iii)
(
7
x
+
5
y
)
=
0
(iv)
(
−
2
x
−
5
y
)
=
0
(v)
(
−
3
x
+
7
y
)
=
0
Question
20
20.
Solve the following pair of equations :
−
1
√
x
+
3
√
y
=
23
−
16
√
x
+
9
√
y
=
17
(i)
(
1
16
,
1
81
)
(ii)
(
1
18
,
1
81
)
(iii)
(
1
16
,
(
-1
81
)
)
(iv)
(
1
16
,
1
79
)
(v)
(
3
16
,
1
81
)
Question
21
21.
Which of the following pairs of lines are parallel?
(i)
(
10
x
−
5
y
−
20
)
=
0
,
(
−
15
x
+
5
y
+
85
)
=
0
(ii)
(
10
x
−
5
y
−
20
)
=
0
,
(
−
10
x
+
5
y
+
55
)
=
0
(iii)
(
10
x
−
5
y
−
20
)
=
0
,
(
x
+
2
y
+
16
)
=
0
(iv)
(
10
x
−
5
y
−
20
)
=
0
,
(
−
x
+
2
y
+
16
)
=
0
Question
22
22.
Solve the following pair of equations :
(
−
3
x
−
7
y
)
=
18
x
y
(
−
15
x
−
8
y
)
=
(
−
72
x
y
)
(i)
(
(
-1
6
)
,
(
-1
8
)
)
(ii)
(
(
-1
6
)
,
1
8
)
(iii)
(
(
-1
6
)
,
1
6
)
(iv)
(
(
-1
4
)
,
1
8
)
(v)
(
(
-1
2
)
,
1
8
)
Question
23
23.
Solve
(
4
x
+
7
y
−
11
)
=
0
(
7
x
−
7
)
=
0
(i)
(
1
,
-1
)
(ii)
(
1
,
1
)
(iii)
(
2
,
1
)
(iv)
(
1
,
0
)
(v)
(
4
,
1
)
Question
24
24.
Find the set of points satisfying the equation
y
=
(
−
5
)
(i)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
4
,
(
−
3
)
)
(iii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
6
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
0
,
(
−
4
)
)
,
(
2
,
(
−
5
)
)
(v)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
Question
25
25.
Which of the displayed lines represent the equation
(
3
x
−
4
y
−
9
)
=
0
?
(i)
line with point
S
(ii)
line with point
T
(iii)
line with point
R
(iv)
line with point
U
(v)
line with point
V
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (i)
5) (i)
6) (ii)
7) (iii)
8) (v)
9) (i)
10) (i)
11) (iv)
12) (i)
13) (i)
14) (i)
15) (ii)
16) (iv)
17) (iii)
18) (i)
19) (ii)
20) (i)
21) (ii)
22) (ii)
23) (ii)
24) (i)
25) (iii)
