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
(
x
+
2
y
+
8
)
=
0
(
−
2
x
+
y
−
1
)
=
0
(i)
(
(
−
4
)
,
(
−
5
)
)
(ii)
(
0
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
(
−
3
)
)
(iv)
(
4
,
8
)
(v)
(
8
,
2
)
Question
2
2.
Solve the following pair of equations :
−
9
x
+
15
y
=
9
−
1
x
+
5
y
=
21
(i)
(
1
3
,
6
)
(ii)
(
1
9
,
5
)
(iii)
(
1
9
,
3
)
(iv)
(
1
9
,
6
)
(v)
(
1
11
,
6
)
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
=
k
(iv)
x
=
0
(v)
x
=
y
Question
4
4.
Which of the displayed lines represent the equation
y
=
(
−
2
)
(i)
line with point
Q
(ii)
line with point
T
(iii)
line with point
R
(iv)
line with point
P
(v)
line with point
S
Question
5
5.
Which of the following are true ?
a)
Equations of two parallel lines differ in the constant term only, 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 be same
c)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
d)
Equations of two parallel lines have the same constant and coefficients of x and y will not be same
(i)
{c,a}
(ii)
{b,a}
(iii)
{a}
(iv)
{d,b,a}
Question
6
6.
Find the equation parallel to the given equation
(i)
(
11
x
+
7
y
+
17
)
=
0
(ii)
(
−
3
x
+
7
y
+
59
)
=
0
(iii)
(
4
x
+
7
y
−
1
)
=
0
(iv)
(
−
7
x
+
4
y
+
7
)
=
0
Question
7
7.
Which of the following lines do not pass through the origin?
(i)
(
−
2
x
+
5
y
)
=
0
(ii)
(
−
x
−
8
y
)
=
0
(iii)
(
−
3
x
+
8
y
+
1
)
=
0
(iv)
(
8
x
−
8
y
)
=
0
(v)
(
2
x
+
8
y
)
=
0
Question
8
8.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
9
)
,
(
−
8
)
)
(i)
x
=
(
−
6
)
(ii)
y
=
(
−
9
)
(iii)
y
=
(
−
8
)
(iv)
y
=
(
−
6
)
(v)
x
=
(
−
9
)
Question
9
9.
Find the set of points satisfying the equation
x
=
3
(i)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
1
,
(
−
2
)
)
,
(
3
,
1
)
,
(
3
,
2
)
(ii)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
5
,
4
)
(iii)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
2
,
2
)
,
(
3
,
2
)
(iv)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
4
,
(
−
1
)
)
,
(
3
,
1
)
,
(
3
,
2
)
(v)
(
3
,
(
−
2
)
)
,
(
3
,
(
−
1
)
)
,
(
3
,
0
)
,
(
3
,
1
)
,
(
3
,
2
)
Question
10
10.
Solve
(
x
−
5
)
=
0
(
x
+
7
)
=
0
(i)
(
(
−
4
)
,
0
)
(ii)
Infinite solutions
(iii)
(
1
,
(
−
2
)
)
(iv)
(
(
−
6
)
,
(
−
2
)
)
(v)
No solution
Question
11
11.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
4
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
(
−
4
)
)
,
(
1
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
?
(i)
x
=
(
11
13
y
+
5
13
)
(ii)
x
=
(
−
3
)
(iii)
y
=
(
−
11
13
x
−
85
13
)
(iv)
y
=
(
−
4
)
(v)
(
−
11
x
−
13
y
+
5
)
=
0
Question
12
12.
Solve the following pair of equations :
−
4
(
x
+
5
)
−
9
(
y
+
5
)
=
(
−
53
)
−
18
(
x
+
5
)
−
3
(
y
+
5
)
=
99
(i)
(
(
-36
7
)
,
-1
)
(ii)
(
(
-36
7
)
,
(
-44
9
)
)
(iii)
(
3
,
(
-44
9
)
)
(iv)
(
1
,
(
-44
9
)
)
(v)
(
(
-36
7
)
,
-3
)
Question
13
13.
Find the equation of the displayed line
(i)
x
=
1
(ii)
x
=
2
(iii)
3
x
=
1
(iv)
y
=
1
(v)
x
=
0
Question
14
14.
Solve the following pair of equations :
−
2
x
−
5
y
=
(
−
23
)
1
x
+
4
y
=
19
(i)
(
0
,
1
5
)
(ii)
(
1
-1
,
(
-1
5
)
)
(iii)
(
1
,
1
5
)
(iv)
(
1
-1
,
1
5
)
(v)
(
1
-1
,
1
3
)
Question
15
15.
Which of the following pairs of lines are parallel?
(i)
(
−
2
x
−
4
y
+
14
)
=
0
,
(
−
x
+
2
y
−
14
)
=
0
(ii)
(
−
2
x
−
4
y
+
14
)
=
0
,
(
x
+
2
y
−
6
)
=
0
(iii)
(
−
2
x
−
4
y
+
14
)
=
0
,
(
−
2
x
+
y
−
2
)
=
0
(iv)
(
−
2
x
−
4
y
+
14
)
=
0
,
(
−
3
x
+
y
−
7
)
=
0
Question
16
16.
Solve
(
−
4
x
−
3
y
+
11
)
=
0
(
y
−
1
)
=
0
(i)
(
0
,
1
)
(ii)
(
5
,
(
−
3
)
)
(iii)
(
(
−
5
)
,
(
−
7
)
)
(iv)
(
2
,
0
)
(v)
(
2
,
1
)
Question
17
17.
Solve
(
3
x
−
4
y
+
5
)
=
4
(
2
x
+
3
y
−
2
)
=
(
−
2
)
(i)
(
(
-1
17
)
,
2
15
)
(ii)
(
(
-3
17
)
,
2
17
)
(iii)
(
(
-3
19
)
,
2
17
)
(iv)
(
(
-3
19
)
,
2
15
)
(v)
(
(
-1
17
)
,
0
)
Question
18
18.
Solve the following pair of equations :
(
−
12
x
−
5
y
)
x
y
=
83
(
−
4
x
+
y
)
x
y
=
9
(i)
(
(
-1
7
)
,
1
4
)
(ii)
(
(
-1
5
)
,
(
-1
4
)
)
(iii)
(
(
-3
7
)
,
(
-1
4
)
)
(iv)
(
(
-1
7
)
,
(
-1
6
)
)
(v)
(
(
-1
7
)
,
(
-1
4
)
)
Question
19
19.
Which of the displayed lines represent the equation
y
=
(
−
4
x
)
(i)
line with point
T
(ii)
line with point
P
(iii)
line with point
S
(iv)
line with point
Q
(v)
line with point
R
Question
20
20.
Find the equation parallel to the given equation
(
−
x
−
6
y
−
2
)
=
0
(i)
(
−
6
x
+
y
−
32
)
=
0
(ii)
(
−
5
x
+
6
y
−
8
)
=
0
(iii)
(
−
x
−
6
y
+
7
)
=
0
(iv)
(
−
7
x
+
y
−
20
)
=
0
Question
21
21.
Find the set of points satisfying the equation
(
8
x
+
9
y
−
4
)
=
0
(i)
(
(
−
2
)
,
20
9
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
4
9
)
,
(
0
,
5
9
)
,
(
2
,
(
−
4
3
)
)
(ii)
(
(
−
2
)
,
20
9
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
4
9
)
,
(
1
,
(
−
4
9
)
)
,
(
2
,
(
−
4
3
)
)
(iii)
(
(
−
2
)
,
20
9
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
4
9
)
,
(
1
,
(
−
4
9
)
)
,
(
4
,
2
3
)
(iv)
(
(
−
2
)
,
20
9
)
,
(
(
−
1
)
,
4
3
)
,
(
(
−
2
)
,
(
−
14
9
)
)
,
(
1
,
(
−
4
9
)
)
,
(
2
,
(
−
4
3
)
)
(v)
(
(
−
2
)
,
20
9
)
,
(
(
−
1
)
,
4
3
)
,
(
1
,
(
−
5
9
)
)
,
(
1
,
(
−
4
9
)
)
,
(
2
,
(
−
4
3
)
)
Question
22
22.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
same
(ii)
1
(iii)
not proportional
(iv)
not same
(v)
2
Question
23
23.
Find the set of points satisfying the equation
(
−
15
x
−
2
y
−
57
)
=
0
(i)
(
(
−
2
)
,
(
−
27
2
)
)
,
(
(
−
1
)
,
(
−
21
)
)
,
(
0
,
(
−
57
2
)
)
,
(
1
,
(
−
36
)
)
,
(
4
,
(
−
83
2
)
)
(ii)
(
(
−
2
)
,
(
−
27
2
)
)
,
(
(
−
1
)
,
(
−
21
)
)
,
(
(
−
2
)
,
(
−
61
2
)
)
,
(
1
,
(
−
36
)
)
,
(
2
,
(
−
87
2
)
)
(iii)
(
(
−
2
)
,
(
−
27
2
)
)
,
(
(
−
1
)
,
(
−
21
)
)
,
(
0
,
(
−
57
2
)
)
,
(
1
,
(
−
36
)
)
,
(
2
,
(
−
87
2
)
)
(iv)
(
(
−
2
)
,
(
−
27
2
)
)
,
(
(
−
1
)
,
(
−
21
)
)
,
(
0
,
(
−
57
2
)
)
,
(
0
,
(
−
35
)
)
,
(
2
,
(
−
87
2
)
)
(v)
(
(
−
2
)
,
(
−
27
2
)
)
,
(
(
−
1
)
,
(
−
21
)
)
,
(
1
,
(
−
59
2
)
)
,
(
1
,
(
−
36
)
)
,
(
2
,
(
−
87
2
)
)
Question
24
24.
The point of intersection of x-axis and y-axis
(i)
(
8
,
0
)
(ii)
(
1
,
1
)
(iii)
(
0
,
4
)
(iv)
(
0
,
0
)
(v)
(
1
,
0
)
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
8
5
)
,
(
(
−
1
)
,
1
1
)
,
(
0
,
2
5
)
,
(
1
,
(
−
1
5
)
)
,
(
2
,
(
−
4
5
)
)
?
(i)
x
=
(
3
5
y
+
62
5
)
(ii)
(
−
3
x
−
5
y
+
2
)
=
0
(iii)
y
=
(
−
9
)
(iv)
(
3
x
+
12
y
−
2
)
=
0
(v)
x
=
7
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (iv)
5) (iii)
6) (iii)
7) (iii)
8) (iii)
9) (v)
10) (v)
11) (iv)
12) (ii)
13) (i)
14) (iv)
15) (ii)
16) (v)
17) (ii)
18) (v)
19) (ii)
20) (iii)
21) (ii)
22) (i)
23) (iii)
24) (iv)
25) (ii)
