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.
Find the equation of the line passing through the points
(
(
−
5
)
,
(
−
8
)
)
and
(
4
,
(
−
7
)
)
(i)
(
2
x
−
9
y
−
67
)
=
0
(ii)
(
−
x
+
9
y
+
68
)
=
0
(iii)
(
−
9
y
−
67
)
=
0
(iv)
(
−
x
+
9
y
+
58
)
=
0
(v)
(
x
−
9
y
−
67
)
=
0
Question
2
2.
Solve the following pair of equations :
4
x
−
5
y
=
6
7
x
−
9
y
=
12
(i)
(
(
-1
6
)
,
-8
)
(ii)
(
(
-1
6
)
,
-6
)
(iii)
(
(
-1
2
)
,
-6
)
(iv)
(
(
-1
4
)
,
-6
)
(v)
(
(
-1
6
)
,
-7
)
Question
3
3.
A motor boat can travel at a speed of 15.43 m/sec downstream and 5.61 m/sec upstream. What is the speed of the motor boat in still water?
(i)
8.52 m/sec
(ii)
11.52 m/sec
(iii)
9.52 m/sec
(iv)
12.52 m/sec
(v)
10.52 m/sec
Question
4
4.
Solve the following pair of equations :
x
−
1
y
=
(
−
5
)
−
5
x
−
14
y
=
63
(i)
(
-7
,
(
-1
4
)
)
(ii)
(
-6
,
(
-1
2
)
)
(iii)
(
-7
,
1
2
)
(iv)
(
-7
,
(
-1
2
)
)
(v)
(
-4
,
(
-1
2
)
)
Question
5
5.
The equation of x-axis is
(i)
x
=
1
(ii)
x
=
0
(iii)
y
=
x
(iv)
y
=
1
(v)
y
=
0
Question
6
6.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
8
5
)
)
,
(
(
−
1
)
,
(
−
16
5
)
)
,
(
0
,
(
−
24
5
)
)
,
(
1
,
(
−
32
5
)
)
,
(
2
,
(
−
8
)
)
?
(i)
y
=
(
−
8
5
x
+
17
5
)
(ii)
y
=
5
(iii)
x
=
(
−
1
)
(iv)
(
−
16
x
−
10
y
−
48
)
=
0
(v)
x
=
(
8
5
y
−
9
)
Question
7
7.
Solve
(
x
−
7
)
=
0
(
x
+
4
)
=
0
(i)
(
(
−
7
)
,
(
−
1
)
)
(ii)
Infinite solutions
(iii)
(
(
−
5
)
,
0
)
(iv)
No solution
(v)
(
(
−
3
)
,
2
)
Question
8
8.
Which of the displayed lines represent the equation
y
=
(
3
4
x
−
1
4
)
(i)
line with point
S
(ii)
line with point
R
(iii)
line with point
Q
(iv)
line with point
P
(v)
line with point
O
Question
9
9.
Find the set of points satisfying the equation
y
=
(
−
13
8
x
)
(i)
(
(
−
2
)
,
13
4
)
,
(
(
−
1
)
,
13
8
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
13
8
)
)
,
(
2
,
(
−
13
4
)
)
(ii)
(
(
−
2
)
,
13
4
)
,
(
(
−
1
)
,
13
8
)
,
(
0
,
0
)
,
(
1
,
(
−
13
8
)
)
,
(
4
,
(
−
5
4
)
)
(iii)
(
(
−
2
)
,
13
4
)
,
(
(
−
1
)
,
13
8
)
,
(
0
,
0
)
,
(
1
,
(
−
13
8
)
)
,
(
2
,
(
−
13
4
)
)
(iv)
(
(
−
2
)
,
13
4
)
,
(
(
−
1
)
,
13
8
)
,
(
0
,
0
)
,
(
0
,
(
−
5
8
)
)
,
(
2
,
(
−
13
4
)
)
(v)
(
(
−
2
)
,
13
4
)
,
(
(
−
1
)
,
13
8
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
13
8
)
)
,
(
2
,
(
−
13
4
)
)
Question
10
10.
Find the equation of the displayed line
(i)
x
=
1
(ii)
x
=
3
(iii)
x
=
2
(iv)
y
=
2
(v)
3
x
=
2
Question
11
11.
Write the given equation
y
=
(
1
5
x
−
11
5
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
1
5
x
+
4
y
+
11
5
)
=
0
(ii)
(
−
1
3
x
+
y
+
11
5
)
=
0
(iii)
(
−
1
5
x
+
y
+
11
5
)
=
0
(iv)
(
−
1
5
x
−
y
+
11
5
)
=
0
(v)
(
−
1
7
x
+
y
+
11
5
)
=
0
Question
12
12.
Solve the following pair of equations :
−
11
(
x
+
y
)
−
4
(
x
−
y
)
=
(
−
47
)
−
9
(
x
+
y
)
+
2
(
x
−
y
)
=
9
(i)
(
5
11
,
4
9
)
(ii)
(
5
9
,
2
9
)
(iii)
(
5
9
,
4
7
)
(iv)
(
7
9
,
4
9
)
(v)
(
5
9
,
4
9
)
Question
13
13.
Which of the displayed lines represent the equation
(
4
x
−
4
y
+
4
)
=
0
?
(i)
line with point
S
(ii)
line with point
Q
(iii)
line with point
R
(iv)
line with point
P
(v)
line with point
O
Question
14
14.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
a curved line
(iii)
an oblique line
(iv)
a horizontal line
Question
15
15.
Solve the following pair of equations :
(
7
x
+
y
)
=
33
x
y
(
−
9
x
−
8
y
)
=
(
−
29
x
y
)
(i)
(
(
-3
2
)
,
1
5
)
(ii)
(
(
-1
2
)
,
1
5
)
(iii)
(
(
-1
2
)
,
1
3
)
(iv)
(
1
,
1
5
)
(v)
(
(
-1
2
)
,
(
-1
5
)
)
Question
16
16.
1
men and
1
women can do a piece of work in
16
days.
4
men and
3
women can do the same work in
4
days.
In how many days can
4
men and
4
women complete the same work?
(i)
3
days
(ii)
4
days
(iii)
1
day
(iv)
5
days
(v)
7
days
Question
17
17.
Solve
(
7
x
−
y
+
21
)
=
0
(
y
+
7
)
=
0
(i)
(
(
−
1
)
,
(
−
4
)
)
(ii)
(
(
−
3
)
,
0
)
(iii)
(
(
−
4
)
,
0
)
(iv)
(
0
,
(
−
7
)
)
(v)
(
(
−
4
)
,
(
−
7
)
)
Question
18
18.
Find the equation parallel to the given equation
(i)
(
−
x
+
3
y
−
8
)
=
0
(ii)
(
4
x
+
y
+
32
)
=
0
(iii)
(
2
x
+
y
+
10
)
=
0
(iv)
(
3
x
+
y
)
=
0
Question
19
19.
Which of the following equations satisfy the given points
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
3
,
2
)
?
(i)
(
24
x
+
20
y
−
15
)
=
0
(ii)
x
=
3
(iii)
y
=
(
−
5
)
(iv)
y
=
(
−
6
7
x
−
17
7
)
(v)
(
−
6
x
−
7
y
+
9
)
=
0
Question
20
20.
Solve
(
4
x
+
4
y
+
1
)
=
(
5
x
−
2
y
−
3
)
(
5
x
+
2
y
+
5
)
=
(
−
2
x
+
5
y
−
4
)
(i)
(
(
-22
13
)
,
(
-37
39
)
)
(ii)
(
(
-8
5
)
,
-1
)
(iii)
(
(
-8
5
)
,
(
-37
39
)
)
(iv)
(
(
-20
13
)
,
-1
)
Question
21
21.
Which of the following equations satisfy the given points
(
(
−
2
)
,
33
4
)
,
(
(
−
1
)
,
9
2
)
,
(
0
,
3
4
)
,
(
1
,
(
−
3
)
)
,
(
2
,
(
−
27
4
)
)
?
(i)
x
=
(
−
9
)
(ii)
y
=
(
−
5
4
x
−
45
4
)
(iii)
(
15
x
+
4
y
−
3
)
=
0
(iv)
(
−
10
x
−
8
y
+
14
)
=
0
(v)
x
=
(
5
4
y
−
9
)
Question
22
22.
Solve
(
12
x
−
2
y
+
100
)
=
0
(
2
x
−
11
y
−
26
)
=
0
(i)
(
-8
,
-4
)
(ii)
(
-9
,
-6
)
(iii)
(
-7
,
-4
)
(iv)
(
-9
,
-4
)
(v)
(
-9
,
-5
)
Question
23
23.
Find the set of points satisfying the equation
(
8
x
+
3
y
−
2
)
=
0
(i)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
10
3
)
,
(
0
,
2
3
)
,
(
1
,
(
−
2
)
)
,
(
2
,
(
−
14
3
)
)
(ii)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
10
3
)
,
(
1
,
(
−
1
3
)
)
,
(
1
,
(
−
2
)
)
,
(
2
,
(
−
14
3
)
)
(iii)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
10
3
)
,
(
0
,
2
3
)
,
(
0
,
(
−
1
)
)
,
(
2
,
(
−
14
3
)
)
(iv)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
10
3
)
,
(
(
−
2
)
,
(
−
4
3
)
)
,
(
1
,
(
−
2
)
)
,
(
2
,
(
−
14
3
)
)
(v)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
10
3
)
,
(
0
,
2
3
)
,
(
1
,
(
−
2
)
)
,
(
4
,
(
−
8
3
)
)
Question
24
24.
The equation of y-axis is
(i)
y
=
0
(ii)
y
=
1
(iii)
y
=
x
(iv)
x
=
1
(v)
x
=
0
Question
25
25.
Solve the following pair of equations :
−
5
(
2
x
+
y
)
−
6
(
2
x
−
y
)
=
51
6
(
2
x
+
y
)
−
16
(
2
x
−
y
)
=
(
−
38
)
(i)
(
(
-1
4
)
,
4
9
)
(ii)
(
(
-5
18
)
,
4
7
)
(iii)
(
(
-5
18
)
,
2
9
)
(iv)
(
(
-1
6
)
,
4
9
)
(v)
(
(
-5
18
)
,
4
9
)
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (iv)
5) (v)
6) (iv)
7) (iv)
8) (v)
9) (iii)
10) (iii)
11) (iii)
12) (v)
13) (v)
14) (iv)
15) (ii)
16) (ii)
17) (v)
18) (iv)
19) (ii)
20) (i)
21) (iii)
22) (iv)
23) (i)
24) (v)
25) (v)
