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
(
5
x
−
3
y
)
=
0
(
5
x
+
5
y
−
4
)
=
0
(i)
(
3
10
,
1
2
)
(ii)
(
1
4
,
1
)
(iii)
(
1
4
,
1
2
)
(iv)
(
1
2
,
(
-1
2
)
)
(v)
(
1
2
,
1
)
Question
2
2.
Solve
(
x
−
2
)
=
0
(
x
+
5
)
=
0
(i)
(
(
−
5
)
,
1
)
(ii)
No solution
(iii)
(
(
−
2
)
,
(
−
4
)
)
(iv)
(
(
−
7
)
,
(
−
1
)
)
(v)
Infinite solutions
Question
3
3.
Which of the following pairs of lines are parallel?
(i)
(
−
8
x
−
9
y
+
56
)
=
0
,
(
−
x
+
9
y
−
3
)
=
0
(ii)
(
−
8
x
−
9
y
+
56
)
=
0
,
(
−
17
x
+
8
y
+
87
)
=
0
(iii)
(
−
8
x
−
9
y
+
56
)
=
0
,
(
−
9
x
+
8
y
+
31
)
=
0
(iv)
(
−
8
x
−
9
y
+
56
)
=
0
,
(
8
x
+
9
y
+
24
)
=
0
Question
4
4.
Find the equation of the displayed line
(i)
x
=
1
(ii)
4
x
=
1
(iii)
x
=
2
(iv)
y
=
1
(v)
x
=
0
Question
5
5.
Solve the following pair of equations :
10
(
2
x
+
y
)
−
2
(
2
x
−
y
)
=
(
−
6
)
1
(
2
x
+
y
)
−
6
(
2
x
−
y
)
=
11
(i)
(
(
-1
8
)
,
(
-1
4
)
)
(ii)
(
(
-3
8
)
,
(
-1
2
)
)
(iii)
(
(
-3
8
)
,
(
-1
4
)
)
(iv)
(
(
-3
8
)
,
(
-3
4
)
)
(v)
(
(
-3
10
)
,
(
-1
4
)
)
Question
6
6.
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
=
y
(iv)
x
=
k
(v)
y
=
0
Question
7
7.
Solve
(
−
7
y
−
14
)
=
0
(
−
14
y
−
28
)
=
0
(i)
No solution
(ii)
(
(
−
7
)
,
(
−
2
)
)
(iii)
Infinite solutions
(iv)
(
0
,
(
−
2
)
)
(v)
(
5
,
(
−
4
)
)
Question
8
8.
Solve the following pair of equations :
6
(
x
+
y
)
+
13
(
x
−
y
)
=
29
5
(
x
+
y
)
+
1
(
x
−
y
)
=
34
(i)
(
(
-1
3
)
,
4
7
)
(ii)
(
(
-1
7
)
,
4
7
)
(iii)
(
(
-3
7
)
,
2
7
)
(iv)
(
(
-3
7
)
,
4
7
)
(v)
(
(
-3
7
)
,
4
5
)
Question
9
9.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
2
5
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
8
5
)
)
,
(
1
,
(
−
11
5
)
)
,
(
2
,
(
−
14
5
)
)
?
(i)
x
=
7
(ii)
y
=
(
−
3
5
x
+
61
5
)
(iii)
y
=
8
(iv)
(
5
x
+
2
y
−
1
)
=
0
(v)
(
−
6
x
−
10
y
−
16
)
=
0
Question
10
10.
Find the set of points satisfying the equation
y
=
(
−
5
)
(i)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
1
,
(
−
6
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
0
,
(
−
4
)
)
,
(
2
,
(
−
5
)
)
(iii)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
(
−
2
)
,
(
−
7
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
4
,
(
−
3
)
)
(v)
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
Question
11
11.
Find the set of points satisfying the equation
x
=
(
−
2
5
y
+
5
)
(i)
(
(
−
2
)
,
35
2
)
,
(
(
−
1
)
,
15
)
,
(
0
,
25
2
)
,
(
0
,
11
)
,
(
2
,
15
2
)
(ii)
(
(
−
2
)
,
35
2
)
,
(
(
−
1
)
,
15
)
,
(
(
−
2
)
,
21
2
)
,
(
1
,
10
)
,
(
2
,
15
2
)
(iii)
(
(
−
2
)
,
35
2
)
,
(
(
−
1
)
,
15
)
,
(
0
,
25
2
)
,
(
1
,
10
)
,
(
2
,
15
2
)
(iv)
(
(
−
2
)
,
35
2
)
,
(
(
−
1
)
,
15
)
,
(
0
,
25
2
)
,
(
1
,
10
)
,
(
4
,
19
2
)
(v)
(
(
−
2
)
,
35
2
)
,
(
(
−
1
)
,
15
)
,
(
1
,
23
2
)
,
(
1
,
10
)
,
(
2
,
15
2
)
Question
12
12.
Find the set of points satisfying the equation
(
−
9
x
−
16
y
+
31
)
=
0
(i)
(
(
−
2
)
,
49
16
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
31
16
)
,
(
0
,
19
8
)
,
(
2
,
13
16
)
(ii)
(
(
−
2
)
,
49
16
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
(
−
1
16
)
)
,
(
1
,
11
8
)
,
(
2
,
13
16
)
(iii)
(
(
−
2
)
,
49
16
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
31
16
)
,
(
1
,
11
8
)
,
(
4
,
45
16
)
(iv)
(
(
−
2
)
,
49
16
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
31
16
)
,
(
1
,
11
8
)
,
(
2
,
13
16
)
(v)
(
(
−
2
)
,
49
16
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
15
16
)
,
(
1
,
11
8
)
,
(
2
,
13
16
)
Question
13
13.
Solve the following pair of equations :
7
x
+
11
y
=
(
−
5
)
8
x
+
12
y
=
(
−
4
)
(i)
(
1
4
,
-3
)
(ii)
(
1
6
,
-3
)
(iii)
(
1
4
,
-4
)
(iv)
(
3
4
,
-3
)
(v)
(
1
4
,
-5
)
Question
14
14.
Which of the following lines pass through the origin?
(i)
(
8
x
−
y
)
=
0
(ii)
(
x
−
10
y
−
76
)
=
0
(iii)
(
15
x
+
5
y
−
55
)
=
0
(iv)
(
−
14
x
−
2
y
−
72
)
=
0
(v)
(
−
2
x
+
7
y
−
54
)
=
0
Question
15
15.
Solve the following pair of equations :
14
√
x
−
14
√
y
=
14
15
√
x
−
12
√
y
=
-12
(i)
(
3
64
,
1
81
)
(ii)
(
1
64
,
(
-1
81
)
)
(iii)
(
1
64
,
1
79
)
(iv)
(
1
66
,
1
81
)
(v)
(
1
64
,
1
81
)
Question
16
16.
Which of the following lines do not pass through the origin?
(i)
(
−
4
x
−
7
y
)
=
0
(ii)
(
−
6
x
+
11
y
+
42
)
=
0
(iii)
(
7
x
−
5
y
)
=
0
(iv)
(
x
+
6
y
)
=
0
(v)
(
−
6
x
+
4
y
)
=
0
Question
17
17.
Find the set of points satisfying the equation
y
=
(
−
15
8
x
)
(i)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
15
8
)
,
(
0
,
0
)
,
(
1
,
(
−
15
8
)
)
,
(
4
,
(
−
7
4
)
)
(ii)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
15
8
)
,
(
0
,
0
)
,
(
0
,
(
−
7
8
)
)
,
(
2
,
(
−
15
4
)
)
(iii)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
15
8
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
15
8
)
)
,
(
2
,
(
−
15
4
)
)
(iv)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
15
8
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
15
8
)
)
,
(
2
,
(
−
15
4
)
)
(v)
(
(
−
2
)
,
15
4
)
,
(
(
−
1
)
,
15
8
)
,
(
0
,
0
)
,
(
1
,
(
−
15
8
)
)
,
(
2
,
(
−
15
4
)
)
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
8
)
)
,
(
0
,
(
−
8
)
)
,
(
1
,
(
−
8
)
)
,
(
2
,
(
−
8
)
)
?
(i)
(
2
x
+
2
y
−
1
)
=
0
(ii)
x
=
(
14
5
y
+
107
5
)
(iii)
y
=
(
−
8
)
(iv)
(
−
14
x
−
5
y
+
16
)
=
0
(v)
x
=
(
−
1
)
Question
19
19.
Which of the displayed lines represent the equation
y
=
5
9
x
(i)
line with point
Q
(ii)
line with point
N
(iii)
line with point
M
(iv)
line with point
P
(v)
line with point
O
Question
20
20.
Which of the following are true ?
a)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
b)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
c)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
d)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
(i)
{d}
(ii)
{c,a,d}
(iii)
{b,d}
(iv)
{a,d}
Question
21
21.
Solve
(
12
x
−
y
−
29
)
=
0
(
−
4
x
+
10
y
−
58
)
=
0
(i)
(
5
,
9
)
(ii)
(
1
,
5
)
(iii)
(
3
,
7
)
(iv)
(
2
,
8
)
(v)
(
4
,
6
)
Question
22
22.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
k
(iii)
y
=
k
(iv)
y
=
0
(v)
x
=
0
Question
23
23.
Find the set of points satisfying the equation
(
6
x
+
7
y
−
2
)
=
0
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
8
7
)
,
(
0
,
2
7
)
,
(
0
,
3
7
)
,
(
2
,
(
−
10
7
)
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
8
7
)
,
(
(
−
2
)
,
(
−
12
7
)
)
,
(
1
,
(
−
4
7
)
)
,
(
2
,
(
−
10
7
)
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
8
7
)
,
(
1
,
(
−
5
7
)
)
,
(
1
,
(
−
4
7
)
)
,
(
2
,
(
−
10
7
)
)
(iv)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
8
7
)
,
(
0
,
2
7
)
,
(
1
,
(
−
4
7
)
)
,
(
2
,
(
−
10
7
)
)
(v)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
8
7
)
,
(
0
,
2
7
)
,
(
1
,
(
−
4
7
)
)
,
(
4
,
4
7
)
Question
24
24.
Which of the displayed lines represent the equation
x
=
2
(i)
line with point
U
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
T
(v)
line with point
R
Question
25
25.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
7
,
0
)
(i)
y
=
0
(ii)
y
=
2
(iii)
x
=
7
(iv)
y
=
(
−
1
)
(v)
x
=
10
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (i)
5) (iii)
6) (iv)
7) (iii)
8) (iv)
9) (v)
10) (v)
11) (iii)
12) (iv)
13) (i)
14) (i)
15) (v)
16) (ii)
17) (v)
18) (iii)
19) (iii)
20) (i)
21) (iii)
22) (iii)
23) (iv)
24) (iii)
25) (i)
