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.
Solve the following pair of equations :
5
(
x
−
3
)
+
11
(
y
+
2
)
=
(
−
53
)
14
(
x
−
3
)
+
7
(
y
+
2
)
=
42
(i)
(
22
7
,
-2
)
(ii)
(
3
,
(
-17
8
)
)
(iii)
(
1
,
(
-17
8
)
)
(iv)
(
22
7
,
-1
)
(v)
(
22
7
,
(
-17
8
)
)
Question
2
2.
Solve
(
4
x
+
3
y
−
1
)
=
0
(
−
4
x
+
5
y
+
41
)
=
0
(i)
(
7
,
-5
)
(ii)
(
4
,
-5
)
(iii)
(
5
,
-5
)
(iv)
(
4
,
-7
)
(v)
(
4
,
-6
)
Question
3
3.
Which of the following equations satisfy the given points
(
5
,
(
−
2
)
)
,
(
5
,
(
−
1
)
)
,
(
5
,
0
)
,
(
5
,
1
)
,
(
5
,
2
)
?
(i)
x
=
5
(ii)
(
7
x
+
10
y
−
5
)
=
0
(iii)
x
=
(
y
+
6
)
(iv)
(
−
11
x
−
11
y
+
22
)
=
0
(v)
y
=
(
−
x
+
4
)
Question
4
4.
The equation of the x-axis is
a)
x
=
1
b)
x
=
0
c)
y
=
0
d)
y
=
1
e)
x
=
y
(i)
{b,c}
(ii)
{c}
(iii)
{a,c}
(iv)
{d,e,c}
Question
5
5.
Which of the displayed lines represent the equation
y
=
4
(i)
line with point
T
(ii)
line with point
W
(iii)
line with point
V
(iv)
line with point
U
(v)
line with point
X
Question
6
6.
Find the set of points satisfying the equation
x
=
(
−
8
)
(i)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
6
)
,
4
)
(ii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(iii)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
(iv)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
9
)
,
2
)
,
(
(
−
8
)
,
2
)
(v)
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
10
)
,
(
−
2
)
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
Question
7
7.
Solve
(
4
y
−
12
)
=
0
(
y
−
3
)
=
0
(i)
(
(
−
6
)
,
4
)
(ii)
(
0
,
3
)
(iii)
(
(
−
7
)
,
3
)
(iv)
(
(
−
3
)
,
0
)
(v)
(
(
−
3
)
,
3
)
Question
8
8.
Which of the following equations satisfy the given points
(
(
−
2
)
,
11
6
)
,
(
(
−
1
)
,
7
6
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
6
)
)
,
(
2
,
(
−
5
6
)
)
?
(i)
y
=
(
−
1
4
x
−
23
4
)
(ii)
x
=
(
1
4
y
+
5
2
)
(iii)
(
4
x
+
6
y
−
3
)
=
0
(iv)
(
−
4
x
−
16
y
+
4
)
=
0
(v)
y
=
(
−
6
)
Question
9
9.
Find the equation parallel to the given equation
(i)
(
x
+
2
y
+
7
)
=
0
(ii)
(
2
x
−
3
y
+
2
)
=
0
(iii)
(
−
3
x
−
2
y
−
14
)
=
0
(iv)
(
5
x
+
2
y
+
11
)
=
0
Question
10
10.
Find the set of points satisfying the equation
(
−
6
x
+
12
y
+
6
)
=
0
(i)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
2
)
)
,
(
0
,
1
)
,
(
2
,
1
2
)
(ii)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
2
)
)
,
(
1
,
0
)
,
(
2
,
1
2
)
(iii)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
3
2
)
)
,
(
1
,
0
)
,
(
2
,
1
2
)
(iv)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
2
)
)
,
(
1
,
0
)
,
(
4
,
5
2
)
(v)
(
(
−
2
)
,
(
−
3
2
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
5
2
)
)
,
(
1
,
0
)
,
(
2
,
1
2
)
Question
11
11.
4
men and
3
women can do a piece of work in
10
days.
3
men and
4
women can do the same work in
10
days.
In how many days can
3
men and
3
women complete the same work?
(i)
11
2
3
days
(ii)
13
days
(iii)
11
2
5
days
(iv)
11
days
(v)
12
1
3
days
Question
12
12.
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
=
y
(v)
x
=
k
Question
13
13.
Any line parallel to y-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
an oblique line
Question
14
14.
Any line parallel to x-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
an oblique line
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 be same
b)
Equations of two parallel lines have the same constant and coefficients of x and y will not 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)
{a,c}
(iii)
{c}
(iv)
{b,c}
Question
16
16.
Solve the following pair of equations :
14
(
x
+
y
)
+
1
(
x
−
y
)
=
(
−
20
)
12
(
x
+
y
)
−
8
(
x
−
y
)
=
36
(i)
(
(
-7
12
)
,
(
-5
12
)
)
(ii)
(
(
-7
12
)
,
(
-7
12
)
)
(iii)
(
(
-5
12
)
,
(
-5
12
)
)
(iv)
(
(
-7
12
)
,
(
-1
2
)
)
(v)
(
(
-1
2
)
,
(
-5
12
)
)
Question
17
17.
Find the equation parallel to the given equation
(
−
4
x
−
2
y
−
7
)
=
0
(i)
(
2
x
+
2
y
−
22
)
=
0
(ii)
(
−
4
x
−
2
y
−
5
)
=
0
(iii)
(
−
x
+
2
y
−
7
)
=
0
(iv)
(
−
3
x
+
2
y
+
3
)
=
0
Question
18
18.
A motor boat can travel at a speed of 21.73 m/sec downstream and 9.19 m/sec upstream. What is the speed of the motor boat in still water?
(i)
16.46 m/sec
(ii)
17.46 m/sec
(iii)
14.46 m/sec
(iv)
15.46 m/sec
(v)
13.46 m/sec
Question
19
19.
Which of the following equations satisfy the given points
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
73
14
)
,
(
0
,
31
7
)
,
(
1
,
51
14
)
,
(
2
,
20
7
)
?
(i)
(
−
11
x
−
14
y
−
71
)
=
0
(ii)
y
=
(
−
11
14
x
+
31
7
)
(iii)
(
24
x
+
7
y
−
3
)
=
0
(iv)
x
=
(
11
14
y
−
47
7
)
(v)
y
=
6
Question
20
20.
Solve
(
5
x
+
14
y
−
35
)
=
0
(
−
8
x
−
3
y
−
41
)
=
0
(i)
(
(
−
5
)
,
7
)
(ii)
(
(
−
6
)
,
4
)
(iii)
(
(
−
8
)
,
6
)
(iv)
(
(
−
7
)
,
5
)
(v)
(
(
−
9
)
,
3
)
Question
21
21.
Solve
(
x
+
4
y
−
17
)
=
0
(
x
+
4
y
−
6
)
=
0
(i)
(
6
,
0
)
(ii)
(
1
,
4
)
(iii)
Infinite solutions
(iv)
(
(
−
1
)
,
2
)
(v)
No solution
Question
22
22.
Solve
(
y
−
4
)
=
0
(
y
+
3
)
=
0
(i)
(
2
,
(
−
8
)
)
(ii)
No solution
(iii)
(
4
,
(
−
6
)
)
(iv)
Infinite solutions
(v)
(
(
−
7
)
,
(
−
3
)
)
Question
23
23.
Solve the following pair of equations :
−
10
x
−
15
y
=
60
1
x
−
11
y
=
(
−
31
)
(i)
(
(
-1
7
)
,
2
)
(ii)
(
(
-1
9
)
,
1
)
(iii)
(
(
-1
3
)
,
2
)
(iv)
(
(
-1
9
)
,
-1
)
(v)
(
(
-1
9
)
,
2
)
Question
24
24.
Find the set of points satisfying the equation
x
=
(
−
10
17
y
−
39
17
)
(i)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
(
−
11
5
)
)
,
(
0
,
(
−
39
10
)
)
,
(
1
,
(
−
28
5
)
)
,
(
2
,
(
−
73
10
)
)
(ii)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
(
−
11
5
)
)
,
(
1
,
(
−
49
10
)
)
,
(
1
,
(
−
28
5
)
)
,
(
2
,
(
−
73
10
)
)
(iii)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
(
−
11
5
)
)
,
(
0
,
(
−
39
10
)
)
,
(
0
,
(
−
23
5
)
)
,
(
2
,
(
−
73
10
)
)
(iv)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
(
−
11
5
)
)
,
(
0
,
(
−
39
10
)
)
,
(
1
,
(
−
28
5
)
)
,
(
4
,
(
−
53
10
)
)
(v)
(
(
−
2
)
,
(
−
1
2
)
)
,
(
(
−
1
)
,
(
−
11
5
)
)
,
(
(
−
2
)
,
(
−
59
10
)
)
,
(
1
,
(
−
28
5
)
)
,
(
2
,
(
−
73
10
)
)
Question
25
25.
Find the set of points satisfying the equation
y
=
5
(i)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
(
−
2
)
,
3
)
,
(
1
,
5
)
,
(
2
,
5
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
4
,
7
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
1
,
4
)
,
(
1
,
5
)
,
(
2
,
5
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
0
,
6
)
,
(
2
,
5
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
)
,
(
0
,
5
)
,
(
1
,
5
)
,
(
2
,
5
)
Assignment Key
1) (v)
2) (ii)
3) (i)
4) (ii)
5) (i)
6) (iii)
7) (v)
8) (iii)
9) (iii)
10) (ii)
11) (i)
12) (v)
13) (ii)
14) (iii)
15) (iii)
16) (i)
17) (ii)
18) (iv)
19) (ii)
20) (iv)
21) (v)
22) (ii)
23) (v)
24) (i)
25) (v)
