EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Pair of Linear Equations in Two Variables
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Which of the displayed lines represent the equation
(
3
x
−
5
y
−
10
)
=
0
?
(i)
line with point
S
(ii)
line with point
U
(iii)
line with point
Q
(iv)
line with point
R
(v)
line with point
T
Question
2
2.
Solve
(
−
3
x
+
4
y
−
5
)
=
0
(
2
x
−
3
y
−
3
)
=
0
(i)
(
-26
,
-19
)
(ii)
(
-26
,
-20
)
(iii)
(
-24
,
-21
)
(iv)
(
-24
,
-20
)
(v)
(
-27
,
-19
)
Question
3
3.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
k
(iii)
y
=
k
(iv)
x
=
0
(v)
y
=
0
Question
4
4.
Solve the following pair of equations :
(
x
−
7
y
)
=
20
x
y
(
−
5
x
−
6
y
)
=
(
−
18
x
y
)
(i)
(
(
-1
2
)
,
1
6
)
(ii)
(
(
-3
2
)
,
1
6
)
(iii)
(
(
-1
2
)
,
(
-1
6
)
)
(iv)
(
(
-1
2
)
,
1
4
)
(v)
(
1
,
1
6
)
Question
5
5.
Solve the following pair of equations :
(
5
x
+
5
y
)
x
y
=
5
(
10
x
+
9
y
)
x
y
=
7
(i)
(
1
3
,
(
-1
2
)
)
(ii)
(
1
3
,
(
-1
4
)
)
(iii)
(
1
5
,
(
-1
2
)
)
(iv)
(
1
,
(
-1
2
)
)
(v)
(
1
3
,
1
2
)
Question
6
6.
Which of the displayed lines represent the equation
y
=
(
−
4
3
x
)
(i)
line with point
Q
(ii)
line with point
N
(iii)
line with point
R
(iv)
line with point
P
(v)
line with point
O
Question
7
7.
Write the given equation
y
=
(
−
x
−
5
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
y
+
5
)
=
0
(ii)
(
x
−
y
+
5
)
=
0
(iii)
(
2
x
+
y
+
5
)
=
0
(iv)
(
x
+
3
y
+
5
)
=
0
(v)
(
x
+
y
+
5
)
=
0
Question
8
8.
Solve the following pair of equations :
15
(
x
−
3
)
−
6
(
y
+
6
)
=
(
−
36
)
16
(
x
−
3
)
−
15
(
y
+
6
)
=
39
(i)
(
1
,
(
-55
9
)
)
(ii)
(
3
,
(
-55
9
)
)
(iii)
(
17
6
,
(
-55
9
)
)
(iv)
(
17
6
,
-1
)
(v)
(
17
6
,
-3
)
Question
9
9.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a curved line
Question
10
10.
Find the equation parallel to the given equation
(
−
8
x
−
2
y
−
1
)
=
0
(i)
(
−
x
+
4
y
−
22
)
=
0
(ii)
(
6
x
+
2
y
+
20
)
=
0
(iii)
(
−
5
x
+
4
y
−
5
)
=
0
(iv)
(
−
8
x
−
2
y
)
=
0
Question
11
11.
Find the value of k such that
(
5
x
+
20
)
=
0
and
(
k
x
−
4
) = 0
are parallel to each other
(i)
0
(ii)
1
(iii)
-1
(iv)
4
(v)
2
Question
12
12.
Find the set of points satisfying the equation
x
=
(
−
5
13
y
+
74
13
)
(i)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
87
5
)
,
(
0
,
74
5
)
,
(
1
,
61
5
)
,
(
4
,
58
5
)
(ii)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
87
5
)
,
(
0
,
74
5
)
,
(
1
,
61
5
)
,
(
2
,
48
5
)
(iii)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
87
5
)
,
(
0
,
74
5
)
,
(
0
,
66
5
)
,
(
2
,
48
5
)
(iv)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
87
5
)
,
(
(
−
2
)
,
64
5
)
,
(
1
,
61
5
)
,
(
2
,
48
5
)
(v)
(
(
−
2
)
,
20
)
,
(
(
−
1
)
,
87
5
)
,
(
1
,
69
5
)
,
(
1
,
61
5
)
,
(
2
,
48
5
)
Question
13
13.
The equation of y-axis is
(i)
y
=
x
(ii)
y
=
0
(iii)
x
=
1
(iv)
y
=
1
(v)
x
=
0
Question
14
14.
Solve the following pair of equations :
−
14
x
−
2
y
=
12
−
15
x
−
11
y
=
(
−
58
)
(i)
(
(
-3
2
)
,
8
)
(ii)
(
1
,
8
)
(iii)
(
(
-1
2
)
,
8
)
(iv)
(
(
-1
2
)
,
5
)
(v)
(
(
-1
2
)
,
7
)
Question
15
15.
Find the equation of the line passing through the points
(
6
,
6
)
and
(
(
−
5
)
,
8
)
(i)
(
2
x
+
11
y
−
78
)
=
0
(ii)
(
2
x
+
11
y
−
80
)
=
0
(iii)
(
3
x
+
11
y
−
78
)
=
0
(iv)
(
2
x
+
11
y
−
89
)
=
0
(v)
(
x
+
11
y
−
78
)
=
0
Question
16
16.
1
men and
3
women can do a piece of work in
40
days.
5
men and
3
women can do the same work in
8
days.
In how many days can
3
men and
3
women complete the same work?
(i)
13
1
5
days
(ii)
12
2
3
days
(iii)
13
1
3
days
(iv)
14
days
Question
17
17.
Solve
(
−
3
y
+
15
)
=
0
(
−
13
x
−
13
y
)
=
0
(i)
(
-5
,
5
)
(ii)
(
-4
,
5
)
(iii)
(
-3
,
5
)
(iv)
(
-5
,
2
)
(v)
(
-5
,
4
)
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
3
2
)
,
(
1
,
1
)
,
(
2
,
1
2
)
?
(i)
y
=
(
−
1
2
x
+
1
)
(ii)
(
−
7
x
−
14
y
+
21
)
=
0
(iii)
(
6
x
+
2
y
−
1
)
=
0
(iv)
y
=
3
(v)
x
=
(
1
2
y
−
11
2
)
Question
19
19.
Solve the following pair of equations :
1
(
4
x
+
y
)
+
5
(
4
x
−
y
)
=
27
−
2
(
4
x
+
y
)
+
11
(
4
x
−
y
)
=
51
(i)
(
7
80
,
1
6
)
(ii)
(
7
80
,
1
20
)
(iii)
(
7
82
,
3
20
)
(iv)
(
9
80
,
3
20
)
(v)
(
7
80
,
3
20
)
Question
20
20.
Find the equation parallel to the given equation
(i)
(
4
x
+
3
y
+
5
)
=
0
(ii)
(
7
x
+
3
y
−
28
)
=
0
(iii)
(
x
+
3
y
−
9
)
=
0
(iv)
(
−
3
x
+
4
y
−
11
)
=
0
Question
21
21.
Solve
(
4
x
+
y
+
4
)
=
0
(
−
10
x
−
3
y
−
8
)
=
0
(i)
(
0
,
6
)
(ii)
(
(
−
2
)
,
4
)
(iii)
(
8
,
2
)
(iv)
(
9
,
8
)
(v)
(
(
−
4
)
,
2
)
Question
22
22.
A motor boat can travel at a speed of 22.45 m/sec downstream and 1.35 m/sec upstream. What is the speed of the motor boat in still water?
(i)
11.90 m/sec
(ii)
13.90 m/sec
(iii)
9.90 m/sec
(iv)
10.90 m/sec
(v)
12.90 m/sec
Question
23
23.
Solve
(
y
+
2
)
=
0
(
y
+
5
)
=
0
(i)
(
7
,
0
)
(ii)
(
5
,
(
−
2
)
)
(iii)
Infinite solutions
(iv)
(
(
−
3
)
,
(
−
2
)
)
(v)
No solution
Question
24
24.
A motor boat can travel at a speed of 11.41 m/sec downstream and 0.79 m/sec upstream. What is the speed of the stream?
(i)
6.31 m/sec
(ii)
5.31 m/sec
(iii)
4.31 m/sec
(iv)
7.31 m/sec
(v)
3.31 m/sec
Question
25
25.
Find the set of points satisfying the equation
(
−
8
x
−
7
y
+
30
)
=
0
(i)
(
(
−
2
)
,
46
7
)
,
(
(
−
1
)
,
38
7
)
,
(
0
,
30
7
)
,
(
1
,
22
7
)
,
(
4
,
4
)
(ii)
(
(
−
2
)
,
46
7
)
,
(
(
−
1
)
,
38
7
)
,
(
(
−
2
)
,
16
7
)
,
(
1
,
22
7
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
46
7
)
,
(
(
−
1
)
,
38
7
)
,
(
0
,
30
7
)
,
(
1
,
22
7
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
46
7
)
,
(
(
−
1
)
,
38
7
)
,
(
0
,
30
7
)
,
(
0
,
29
7
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
46
7
)
,
(
(
−
1
)
,
38
7
)
,
(
1
,
23
7
)
,
(
1
,
22
7
)
,
(
2
,
2
)
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (i)
5) (i)
6) (ii)
7) (v)
8) (iii)
9) (i)
10) (iv)
11) (ii)
12) (ii)
13) (v)
14) (iii)
15) (i)
16) (iii)
17) (i)
18) (ii)
19) (v)
20) (i)
21) (ii)
22) (i)
23) (v)
24) (ii)
25) (iii)
