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 :
−
5
x
−
8
y
=
(
−
41
)
−
x
+
4
y
=
31
(i)
(
-2
,
1
7
)
(ii)
(
-3
,
(
-1
7
)
)
(iii)
(
-3
,
1
5
)
(iv)
(
0
,
1
7
)
(v)
(
-3
,
1
7
)
Question
2
2.
Solve the following pair of equations :
(
16
x
+
9
y
)
=
(
−
56
x
y
)
(
3
x
+
11
y
)
=
64
x
y
(i)
(
3
8
,
(
-1
8
)
)
(ii)
(
1
8
,
(
-1
8
)
)
(iii)
(
1
10
,
(
-1
8
)
)
(iv)
(
1
8
,
1
8
)
(v)
(
1
8
,
(
-1
10
)
)
Question
3
3.
Which of the displayed lines represent the equation
y
=
0
(i)
line with point
T
(ii)
line with point
V
(iii)
line with point
W
(iv)
line with point
U
(v)
line with point
X
Question
4
4.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
1
(ii)
2
(iii)
not proportional
(iv)
not same
(v)
same
Question
5
5.
Solve
(
−
12
x
−
12
y
)
=
0
(
−
24
x
−
24
y
)
=
0
(i)
(
1
,
(
−
4
)
)
(ii)
No solution
(iii)
(
(
−
6
)
,
6
)
(iv)
Infinite solutions
(v)
(
6
,
(
−
6
)
)
Question
6
6.
Solve
(
−
11
x
−
55
)
=
0
(
5
x
−
4
y
+
5
)
=
0
(i)
(
(
−
5
)
,
(
−
5
)
)
(ii)
(
(
−
3
)
,
(
−
3
)
)
(iii)
(
5
,
7
)
(iv)
(
(
−
7
)
,
(
−
7
)
)
(v)
(
4
,
9
)
Question
7
7.
Find the set of points satisfying the equation
x
=
(
−
1
5
y
−
38
5
)
(i)
(
(
−
2
)
,
(
−
28
)
)
,
(
(
−
1
)
,
(
−
33
)
)
,
(
0
,
(
−
38
)
)
,
(
1
,
(
−
43
)
)
,
(
2
,
(
−
48
)
)
(ii)
(
(
−
2
)
,
(
−
28
)
)
,
(
(
−
1
)
,
(
−
33
)
)
,
(
(
−
2
)
,
(
−
40
)
)
,
(
1
,
(
−
43
)
)
,
(
2
,
(
−
48
)
)
(iii)
(
(
−
2
)
,
(
−
28
)
)
,
(
(
−
1
)
,
(
−
33
)
)
,
(
0
,
(
−
38
)
)
,
(
1
,
(
−
43
)
)
,
(
4
,
(
−
46
)
)
(iv)
(
(
−
2
)
,
(
−
28
)
)
,
(
(
−
1
)
,
(
−
33
)
)
,
(
0
,
(
−
38
)
)
,
(
0
,
(
−
42
)
)
,
(
2
,
(
−
48
)
)
(v)
(
(
−
2
)
,
(
−
28
)
)
,
(
(
−
1
)
,
(
−
33
)
)
,
(
1
,
(
−
39
)
)
,
(
1
,
(
−
43
)
)
,
(
2
,
(
−
48
)
)
Question
8
8.
Solve
(
3
x
−
2
y
+
3
)
=
(
−
4
x
−
4
y
+
4
)
(
4
x
+
5
y
+
3
)
=
(
−
2
x
+
4
y
−
4
)
(i)
(
-1
,
9
)
(ii)
(
-2
,
11
)
(iii)
(
-3
,
11
)
(iv)
(
-1
,
10
)
(v)
(
-2
,
10
)
Question
9
9.
Find the set of points satisfying the equation
y
=
7
(i)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
2
,
7
)
(ii)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
1
,
6
)
,
(
1
,
7
)
,
(
2
,
7
)
(iii)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
1
,
7
)
,
(
4
,
9
)
(iv)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
(
−
2
)
,
5
)
,
(
1
,
7
)
,
(
2
,
7
)
(v)
(
(
−
2
)
,
7
)
,
(
(
−
1
)
,
7
)
,
(
0
,
7
)
,
(
0
,
8
)
,
(
2
,
7
)
Question
10
10.
Solve the following pair of equations :
4
(
x
+
y
)
+
12
(
x
−
y
)
=
(
−
76
)
5
(
x
+
y
)
+
17
(
x
−
y
)
=
(
−
113
)
(i)
(
1
144
,
17
144
)
(ii)
(
1
144
,
17
142
)
(iii)
(
1
146
,
17
144
)
(iv)
(
1
144
,
5
48
)
(v)
(
1
48
,
17
144
)
Question
11
11.
Find the equation of the displayed line
(i)
y
=
1
(ii)
3
y
=
2
(iii)
y
=
3
(iv)
y
=
2
(v)
x
=
2
Question
12
12.
Solve the following pair of equations :
(
10
x
−
2
y
)
x
y
=
-62
(
13
x
+
2
y
)
x
y
=
-53
(i)
(
1
2
,
(
-1
5
)
)
(ii)
(
1
6
,
(
-1
5
)
)
(iii)
(
1
6
,
1
5
)
(iv)
(
1
6
,
(
-1
7
)
)
(v)
(
1
8
,
(
-1
5
)
)
Question
13
13.
Find the equation of the displayed line
(i)
x
=
2
(ii)
x
=
1
(iii)
3
x
=
1
(iv)
y
=
1
(v)
x
=
0
Question
14
14.
Which of the following equations satisfy the given points
(
(
−
2
)
,
76
5
)
,
(
(
−
1
)
,
27
2
)
,
(
0
,
59
5
)
,
(
1
,
101
10
)
,
(
2
,
42
5
)
?
(i)
y
=
(
−
17
10
x
+
59
5
)
(ii)
y
=
5
(iii)
(
−
17
x
−
10
y
+
56
)
=
0
(iv)
x
=
4
(v)
x
=
(
17
10
y
−
9
2
)
Question
15
15.
Which of the following are true ?
a)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
b)
Equations of two parallel lines have the same constant and coefficients of x and y will be same
c)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
d)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
(i)
{d,a,c}
(ii)
{b,c}
(iii)
{c}
(iv)
{a,c}
Question
16
16.
Solve the following pair of equations :
5
x
−
8
y
=
43
15
x
−
10
y
=
45
(i)
(
1
,
-6
)
(ii)
(
1
-1
,
-9
)
(iii)
(
1
-1
,
-6
)
(iv)
(
1
-1
,
-7
)
(v)
(
0
,
-6
)
Question
17
17.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
6
)
,
(
(
−
1
)
,
1
2
)
,
(
0
,
1
6
)
,
(
1
,
(
−
1
6
)
)
,
(
2
,
(
−
1
2
)
)
?
(i)
(
−
6
x
−
16
y
−
26
)
=
0
(ii)
y
=
4
(iii)
y
=
(
−
3
8
x
+
17
8
)
(iv)
x
=
(
3
8
y
−
13
2
)
(v)
(
2
x
+
6
y
−
1
)
=
0
Question
18
18.
Solve the following pair of equations :
1
x
+
16
y
=
25
−
6
x
+
1
y
=
(
−
53
)
(i)
(
1
9
,
0
)
(ii)
(
1
9
,
1
1
)
(iii)
(
1
3
,
1
1
)
(iv)
(
1
11
,
1
1
)
(v)
(
1
9
,
-2
)
Question
19
19.
Which of the following equations satisfy the given points
(
(
−
2
)
,
24
5
)
,
(
(
−
1
)
,
18
5
)
,
(
0
,
12
5
)
,
(
1
,
6
5
)
,
(
2
,
0
)
?
(i)
x
=
(
−
6
)
(ii)
(
5
x
+
9
y
−
3
)
=
0
(iii)
x
=
(
6
5
y
−
84
5
)
(iv)
y
=
9
(v)
(
−
12
x
−
10
y
+
24
)
=
0
Question
20
20.
Solve
(
11
x
+
4
y
−
46
)
=
0
(
x
−
6
)
=
0
(i)
(
6
,
(
−
5
)
)
(ii)
(
2
,
6
)
(iii)
(
6
,
7
)
(iv)
(
6
,
0
)
(v)
(
0
,
(
−
5
)
)
Question
21
21.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
k
(ii)
y
=
0
(iii)
x
=
0
(iv)
x
=
k
(v)
x
=
y
Question
22
22.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
7
,
5
)
(i)
y
=
5
(ii)
x
=
9
(iii)
x
=
7
(iv)
y
=
4
(v)
y
=
8
Question
23
23.
Solve
(
−
4
x
+
4
y
−
8
)
=
0
(
−
4
x
+
4
y
+
4
)
=
0
(i)
(
1
,
0
)
(ii)
Infinite solutions
(iii)
(
1
,
3
)
(iv)
No solution
(v)
(
3
,
5
)
Question
24
24.
Solve
(
15
y
+
60
)
=
0
(
5
x
+
8
y
+
2
)
=
0
(i)
(
6
,
-4
)
(ii)
(
6
,
-6
)
(iii)
(
6
,
-5
)
(iv)
(
8
,
-4
)
(v)
(
7
,
-4
)
Question
25
25.
Which of the displayed lines represent the equation
y
=
(
5
4
x
+
3
)
(i)
line with point
R
(ii)
line with point
P
(iii)
line with point
Q
(iv)
line with point
N
(v)
line with point
O
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (v)
5) (iv)
6) (i)
7) (i)
8) (iii)
9) (i)
10) (i)
11) (iv)
12) (ii)
13) (ii)
14) (i)
15) (iii)
16) (iii)
17) (v)
18) (ii)
19) (v)
20) (i)
21) (iv)
22) (i)
23) (iv)
24) (i)
25) (iv)
