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 :
−
12
(
3
x
+
y
)
+
15
(
3
x
−
y
)
=
48
−
17
(
3
x
+
y
)
+
2
(
3
x
−
y
)
=
(
−
86
)
(i)
(
7
144
,
1
48
)
(ii)
(
1
16
,
1
48
)
(iii)
(
7
144
,
1
46
)
(iv)
(
7
146
,
1
48
)
(v)
(
7
144
,
(
-1
48
)
)
Question
2
2.
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 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 be same
d)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
(i)
{c,a,d}
(ii)
{d}
(iii)
{b,d}
(iv)
{a,d}
Question
3
3.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
0
(ii)
y
=
k
(iii)
x
=
y
(iv)
x
=
k
(v)
x
=
0
Question
4
4.
Solve
(
x
−
3
y
+
9
)
=
0
(
2
x
−
6
y
+
18
)
=
0
(i)
(
(
−
7
)
,
(
−
2
)
)
(ii)
Infinite solutions
(iii)
(
3
,
4
)
(iv)
No solution
(v)
(
6
,
5
)
Question
5
5.
Solve
(
5
x
+
2
y
+
1
)
=
0
(
−
5
x
+
3
y
)
=
0
(i)
(
(
-1
25
)
,
(
-3
5
)
)
(ii)
(
(
-1
9
)
,
(
-1
3
)
)
(iii)
(
(
-1
9
)
,
(
-1
5
)
)
(iv)
(
(
-1
25
)
,
(
-1
3
)
)
(v)
(
(
-3
25
)
,
(
-1
5
)
)
Question
6
6.
Solve
(
7
x
−
4
y
−
13
)
=
0
(
x
+
1
)
=
0
(i)
(
(
−
1
)
,
(
−
5
)
)
(ii)
(
(
−
1
)
,
0
)
(iii)
(
(
−
6
)
,
1
)
(iv)
(
3
,
2
)
(v)
(
0
,
(
−
5
)
)
Question
7
7.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
6
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
8
)
)
?
(i)
y
=
(
−
1
)
(ii)
y
=
(
−
x
−
6
)
(iii)
(
10
x
+
9
y
−
8
)
=
0
(iv)
x
=
(
−
5
)
(v)
(
−
9
x
−
9
y
−
45
)
=
0
Question
8
8.
Find the set of points satisfying the equation
y
=
(
−
5
2
x
)
(i)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
(iii)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
0
,
(
−
3
2
)
)
,
(
2
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
1
,
(
−
5
2
)
)
,
(
4
,
(
−
3
)
)
(v)
(
(
−
2
)
,
5
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
0
)
,
(
1
,
(
−
5
2
)
)
,
(
2
,
(
−
5
)
)
Question
9
9.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
?
(i)
(
−
13
x
−
7
y
−
37
)
=
0
(ii)
y
=
(
−
13
7
x
−
19
7
)
(iii)
(
35
x
+
9
y
−
5
)
=
0
(iv)
x
=
(
−
2
)
(v)
x
=
(
13
7
y
−
27
7
)
Question
10
10.
Which of the displayed lines represent the equation
(
4
x
−
3
y
−
6
)
=
0
?
(i)
line with point
N
(ii)
line with point
Q
(iii)
line with point
O
(iv)
line with point
M
(v)
line with point
P
Question
11
11.
Find the set of points satisfying the equation
y
=
2
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
)
,
(
0
,
3
)
,
(
2
,
2
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
)
,
(
1
,
2
)
,
(
2
,
2
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
1
,
1
)
,
(
1
,
2
)
,
(
2
,
2
)
(iv)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
2
)
,
0
)
,
(
1
,
2
)
,
(
2
,
2
)
(v)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
2
)
,
(
0
,
2
)
,
(
1
,
2
)
,
(
4
,
4
)
Question
12
12.
Solve
(
6
x
−
15
y
−
51
)
=
0
(
−
2
x
−
17
y
−
137
)
=
0
(i)
(
-9
,
-7
)
(ii)
(
-9
,
-8
)
(iii)
(
-6
,
-7
)
(iv)
(
-8
,
-7
)
(v)
(
-9
,
-9
)
Question
13
13.
The equation of x-axis is
(i)
y
=
1
(ii)
x
=
1
(iii)
y
=
0
(iv)
x
=
0
(v)
y
=
x
Question
14
14.
Solve
(
−
3
x
+
y
+
1
)
=
5
(
−
3
x
+
3
y
+
1
)
=
(
−
2
)
(i)
(
(
-9
4
)
,
(
-7
2
)
)
(ii)
(
(
-3
2
)
,
(
-9
2
)
)
(iii)
(
(
-9
4
)
,
-4
)
(iv)
(
(
-3
2
)
,
-4
)
(v)
(
(
-5
2
)
,
(
-7
2
)
)
Question
15
15.
Any line parallel to y-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a curved line
Question
16
16.
Solve the following pair of equations :
8
(
x
−
3
)
−
4
(
y
−
8
)
=
20
17
(
x
−
3
)
−
11
(
y
−
8
)
=
65
(i)
(
5
2
,
71
9
)
(ii)
(
1
,
71
9
)
(iii)
(
2
,
71
9
)
(iv)
(
5
2
,
-2
)
(v)
(
5
2
,
-1
)
Question
17
17.
Solve the following pair of equations :
(
−
3
x
−
y
)
=
22
x
y
(
−
7
x
+
7
y
)
=
42
x
y
(i)
(
1
,
(
-1
7
)
)
(ii)
(
1
-1
,
(
-1
9
)
)
(iii)
(
1
-1
,
(
-1
7
)
)
(iv)
(
1
-1
,
1
7
)
(v)
(
0
,
(
-1
7
)
)
Question
18
18.
A motor boat can travel at a speed of 16.13 m/sec downstream and 9.67 m/sec upstream. What is the speed of the motor boat in still water?
(i)
10.90 m/sec
(ii)
12.90 m/sec
(iii)
11.90 m/sec
(iv)
14.90 m/sec
(v)
13.90 m/sec
Question
19
19.
3
men and
4
women can do a piece of work in
6
days.
2
men and
5
women can do the same work in
6
days.
In how many days can
2
men and
2
women complete the same work?
(i)
10
1
2
days
(ii)
11
1
2
days
(iii)
11
days
(iv)
9
1
2
days
(v)
10
1
4
days
Question
20
20.
Solve
(
x
−
3
)
=
0
(
x
+
6
)
=
0
(i)
(
3
,
4
)
(ii)
No solution
(iii)
(
(
−
9
)
,
(
−
2
)
)
(iv)
(
(
−
7
)
,
0
)
(v)
Infinite solutions
Question
21
21.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
a curved line
(iii)
a horizontal line
(iv)
an oblique line
Question
22
22.
The equation of the x-axis is
a)
x
=
1
b)
y
=
1
c)
x
=
0
d)
x
=
y
e)
y
=
0
(i)
{b,e}
(ii)
{e}
(iii)
{c,d,e}
(iv)
{a,e}
Question
23
23.
Solve
(
x
−
7
y
−
11
)
=
0
(
−
3
x
−
3
y
+
9
)
=
0
(i)
(
2
,
(
−
3
)
)
(ii)
(
3
,
0
)
(iii)
(
5
,
(
−
2
)
)
(iv)
(
6
,
1
)
(v)
(
4
,
(
−
1
)
)
Question
24
24.
Write the given equation
y
=
(
8
3
x
−
34
3
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
8
3
x
−
2
y
+
34
3
)
=
0
(ii)
(
−
12
5
x
+
y
+
34
3
)
=
0
(iii)
(
−
8
3
x
+
4
y
+
34
3
)
=
0
(iv)
(
−
4
x
+
y
+
34
3
)
=
0
(v)
(
−
8
3
x
+
y
+
34
3
)
=
0
Question
25
25.
Which of the following pairs of lines are parallel?
(i)
(
−
9
x
−
y
−
1
)
=
0
,
(
8
x
+
y
−
34
)
=
0
(ii)
(
−
9
x
−
y
−
1
)
=
0
,
(
−
x
+
9
y
−
41
)
=
0
(iii)
(
−
9
x
−
y
−
1
)
=
0
,
(
9
x
+
y
−
38
)
=
0
(iv)
(
−
9
x
−
y
−
1
)
=
0
,
(
−
10
x
+
9
y
−
5
)
=
0
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (ii)
5) (v)
6) (i)
7) (ii)
8) (v)
9) (iv)
10) (iv)
11) (ii)
12) (i)
13) (iii)
14) (v)
15) (iii)
16) (i)
17) (iii)
18) (ii)
19) (i)
20) (ii)
21) (iii)
22) (ii)
23) (v)
24) (v)
25) (iii)
