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 :
−
12
(
x
+
y
)
−
2
(
x
−
y
)
=
(
−
34
)
4
(
x
+
y
)
−
1
(
x
−
y
)
=
3
(i)
(
7
22
,
3
20
)
(ii)
(
7
20
,
3
20
)
(iii)
(
7
20
,
1
6
)
(iv)
(
7
20
,
1
20
)
(v)
(
9
20
,
3
20
)
Question
2
2.
Solve
(
−
6
x
+
4
y
+
18
)
=
0
(
x
−
7
)
=
0
(i)
(
3
,
0
)
(ii)
(
0
,
6
)
(iii)
(
(
−
4
)
,
(
−
5
)
)
(iv)
(
7
,
0
)
(v)
(
7
,
6
)
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
?
(i)
(
10
x
+
9
y
−
4
)
=
0
(ii)
x
=
(
5
3
y
−
2
)
(iii)
(
−
10
x
−
6
y
+
10
)
=
0
(iv)
x
=
(
−
2
)
(v)
y
=
0
Question
4
4.
Which of the following equations satisfy the given points
(
(
−
2
)
,
37
6
)
,
(
(
−
1
)
,
16
3
)
,
(
0
,
9
2
)
,
(
1
,
11
3
)
,
(
2
,
17
6
)
?
(i)
(
16
x
+
5
y
−
4
)
=
0
(ii)
(
−
10
x
−
12
y
+
8
)
=
0
(iii)
y
=
(
−
5
6
x
+
9
2
)
(iv)
y
=
(
−
3
)
(v)
x
=
(
5
6
y
+
23
2
)
Question
5
5.
Find the set of points satisfying the equation
y
=
0
(i)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
0
,
1
)
,
(
2
,
0
)
(ii)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
2
,
0
)
(iii)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
0
)
,
(
2
,
0
)
(iv)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
1
,
0
)
,
(
4
,
2
)
(v)
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
1
,
0
)
,
(
2
,
0
)
Question
6
6.
Solve
(
−
10
x
−
5
y
+
35
)
=
0
(
y
−
5
)
=
0
(i)
(
6
,
(
−
5
)
)
(ii)
(
1
,
0
)
(iii)
(
(
−
7
)
,
(
−
2
)
)
(iv)
(
1
,
5
)
(v)
(
0
,
5
)
Question
7
7.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
0
(ii)
y
=
0
(iii)
x
=
k
(iv)
y
=
k
(v)
x
=
y
Question
8
8.
The point of intersection of x-axis and y-axis
(i)
(
0
,
2
)
(ii)
(
1
,
0
)
(iii)
(
0
,
0
)
(iv)
(
1
,
1
)
(v)
(
3
,
0
)
Question
9
9.
Which of the displayed lines represent the equation
x
=
(
−
9
)
(i)
line with point
X
(ii)
line with point
U
(iii)
line with point
V
(iv)
line with point
T
(v)
line with point
W
Question
10
10.
Find the value of k such that
(
4
x
+
7
y
+
13
)
=
0
and
(
k
x
+
7
y
+
38
) = 0
are parallel to each other
(i)
5
(ii)
3
(iii)
7
(iv)
4
(v)
1
Question
11
11.
Solve the following pair of equations :
−
6
(
5
x
+
y
)
+
13
(
5
x
−
y
)
=
(
−
35
)
6
(
5
x
+
y
)
+
16
(
5
x
−
y
)
=
64
(i)
(
9
82
,
(
-7
16
)
)
(ii)
(
11
80
,
(
-7
16
)
)
(iii)
(
9
80
,
(
-7
16
)
)
(iv)
(
9
80
,
(
-1
2
)
)
(v)
(
9
80
,
(
-9
16
)
)
Question
12
12.
Find the equation parallel to the given equation
(
−
2
x
−
4
y
−
4
)
=
0
(i)
(
−
3
x
+
y
+
13
)
=
0
(ii)
(
−
2
x
−
4
y
−
3
)
=
0
(iii)
(
−
x
+
2
y
−
2
)
=
0
(iv)
(
−
2
x
+
y
−
18
)
=
0
Question
13
13.
Solve the following pair of equations :
−
15
(
x
−
4
)
−
14
(
y
+
5
)
=
(
−
21
)
−
17
(
x
−
4
)
−
13
(
y
+
5
)
=
2
(i)
(
27
7
,
(
-44
9
)
)
(ii)
(
1
,
(
-44
9
)
)
(iii)
(
3
,
(
-44
9
)
)
(iv)
(
27
7
,
-1
)
(v)
(
27
7
,
-2
)
Question
14
14.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
1
(ii)
not proportional
(iii)
not same
(iv)
2
(v)
same
Question
15
15.
Solve
(
5
x
−
2
y
+
33
)
=
0
(
−
10
x
−
14
y
+
6
)
=
0
(i)
(
-4
,
4
)
(ii)
(
-5
,
2
)
(iii)
(
-5
,
4
)
(iv)
(
-5
,
3
)
(v)
(
-2
,
4
)
Question
16
16.
Which of the following are true ?
a)
Equations of two parallel lines differ in the 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 have the same constant and coefficients of x and y will not be same
(i)
{a,c}
(ii)
{c}
(iii)
{d,a,c}
(iv)
{b,c}
Question
17
17.
Find the equation of the line passing through the points
(
(
−
2
)
,
4
)
and
(
(
−
7
)
,
(
−
2
)
)
(i)
(
−
6
x
+
5
y
−
32
)
=
0
(ii)
(
−
6
x
+
5
y
−
37
)
=
0
(iii)
(
−
7
x
+
5
y
−
32
)
=
0
(iv)
(
−
5
x
+
5
y
−
32
)
=
0
(v)
(
−
6
x
+
5
y
−
26
)
=
0
Question
18
18.
Find the set of points satisfying the equation
x
=
3
(i)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
2
,
2
)
,
(
3
,
2
)
(ii)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
1
,
(
−
2
)
)
,
(
3
,
1
)
,
(
3
,
2
)
(iii)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
4
,
(
−
1
)
)
,
(
3
,
1
)
,
(
3
,
2
)
(iv)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
5
,
4
)
(v)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
3
,
2
)
Question
19
19.
Solve
(
3
x
−
4
y
)
=
0
(
−
5
x
−
5
y
+
3
)
=
0
(i)
(
12
35
,
9
35
)
(ii)
(
2
5
,
3
11
)
(iii)
(
12
37
,
9
35
)
(iv)
(
12
37
,
3
11
)
(v)
(
2
5
,
1
5
)
Question
20
20.
Solve the following pair of equations :
−
6
x
−
11
y
=
(
−
64
)
−
7
x
+
5
y
=
68
(i)
(
(
-1
4
)
,
(
-1
8
)
)
(ii)
(
(
-1
2
)
,
1
8
)
(iii)
(
(
-1
4
)
,
1
8
)
(iv)
(
(
-3
4
)
,
1
8
)
(v)
(
(
-1
4
)
,
1
6
)
Question
21
21.
Which of the displayed lines represent the equation
y
=
(
−
1
)
(i)
line with point
R
(ii)
line with point
V
(iii)
line with point
S
(iv)
line with point
U
(v)
line with point
T
Question
22
22.
Find the set of points satisfying the equation
y
=
(
−
5
3
x
)
(i)
(
(
−
2
)
,
10
3
)
,
(
(
−
1
)
,
5
3
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
5
3
)
)
,
(
2
,
(
−
10
3
)
)
(ii)
(
(
−
2
)
,
10
3
)
,
(
(
−
1
)
,
5
3
)
,
(
0
,
0
)
,
(
1
,
(
−
5
3
)
)
,
(
4
,
(
−
4
3
)
)
(iii)
(
(
−
2
)
,
10
3
)
,
(
(
−
1
)
,
5
3
)
,
(
0
,
0
)
,
(
0
,
(
−
2
3
)
)
,
(
2
,
(
−
10
3
)
)
(iv)
(
(
−
2
)
,
10
3
)
,
(
(
−
1
)
,
5
3
)
,
(
0
,
0
)
,
(
1
,
(
−
5
3
)
)
,
(
2
,
(
−
10
3
)
)
(v)
(
(
−
2
)
,
10
3
)
,
(
(
−
1
)
,
5
3
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
5
3
)
)
,
(
2
,
(
−
10
3
)
)
Question
23
23.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
k
(ii)
x
=
k
(iii)
x
=
0
(iv)
x
=
y
(v)
y
=
0
Question
24
24.
Solve
(
3
x
−
3
y
−
6
)
=
0
(
−
8
x
+
4
y
+
28
)
=
0
(i)
(
3
,
1
)
(ii)
(
7
,
5
)
(iii)
(
6
,
2
)
(iv)
(
4
,
4
)
(v)
(
5
,
3
)
Question
25
25.
Find the set of points satisfying the equation
(
9
x
+
3
y
−
2
)
=
0
(i)
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
11
3
)
,
(
(
−
2
)
,
(
−
4
3
)
)
,
(
1
,
(
−
7
3
)
)
,
(
2
,
(
−
16
3
)
)
(ii)
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
11
3
)
,
(
1
,
(
−
1
3
)
)
,
(
1
,
(
−
7
3
)
)
,
(
2
,
(
−
16
3
)
)
(iii)
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
11
3
)
,
(
0
,
2
3
)
,
(
1
,
(
−
7
3
)
)
,
(
2
,
(
−
16
3
)
)
(iv)
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
11
3
)
,
(
0
,
2
3
)
,
(
1
,
(
−
7
3
)
)
,
(
4
,
(
−
10
3
)
)
(v)
(
(
−
2
)
,
20
3
)
,
(
(
−
1
)
,
11
3
)
,
(
0
,
2
3
)
,
(
0
,
(
−
4
3
)
)
,
(
2
,
(
−
16
3
)
)
Assignment Key
1) (ii)
2) (v)
3) (iv)
4) (iii)
5) (v)
6) (iv)
7) (iv)
8) (iii)
9) (iv)
10) (iv)
11) (iii)
12) (ii)
13) (i)
14) (v)
15) (iii)
16) (ii)
17) (i)
18) (v)
19) (i)
20) (iii)
21) (i)
22) (iv)
23) (ii)
24) (v)
25) (iii)
