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
(
9
x
−
11
y
+
8
)
=
0
(
x
+
7
)
=
0
(i)
(
(
−
2
)
,
(
−
4
)
)
(ii)
(
4
,
4
)
(iii)
(
(
−
7
)
,
(
−
5
)
)
(iv)
(
0
,
(
−
5
)
)
(v)
(
(
−
7
)
,
0
)
Question
2
2.
Which of the following equations satisfy the given points
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
0
)
,
(
1
,
1
)
,
(
1
,
2
)
?
(i)
y
=
1
(ii)
(
9
x
+
20
y
−
5
)
=
0
(iii)
x
=
1
(iv)
(
−
10
x
−
4
y
−
4
)
=
0
(v)
y
=
(
−
5
2
x
+
7
2
)
Question
3
3.
Find the equation of the displayed line
(i)
x
=
(
−
2
)
(ii)
y
=
(
−
1
)
(iii)
x
=
0
(iv)
4
x
=
(
−
1
)
(v)
x
=
(
−
1
)
Question
4
4.
Solve the following pair of equations :
8
√
x
−
11
√
y
=
21
9
√
x
−
12
√
y
=
21
(i)
(
1
51
,
1
49
)
(ii)
(
3
49
,
1
49
)
(iii)
(
1
49
,
1
49
)
(iv)
(
1
49
,
1
47
)
(v)
(
1
49
,
(
-1
49
)
)
Question
5
5.
Solve the following pair of equations :
−
3
x
−
8
y
=
41
−
1
x
−
12
y
=
51
(i)
(
(
-1
3
)
,
-4
)
(ii)
(
(
-1
3
)
,
-5
)
(iii)
(
-1
,
-4
)
(iv)
(
(
-1
3
)
,
-7
)
Question
6
6.
Find the set of points satisfying the equation
(
3
x
+
6
y
−
1
)
=
0
(i)
(
(
−
2
)
,
7
6
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
1
6
)
,
(
1
,
(
−
1
3
)
)
,
(
4
,
7
6
)
(ii)
(
(
−
2
)
,
7
6
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
1
6
)
,
(
0
,
2
3
)
,
(
2
,
(
−
5
6
)
)
(iii)
(
(
−
2
)
,
7
6
)
,
(
(
−
1
)
,
2
3
)
,
(
1
,
(
−
5
6
)
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
5
6
)
)
(iv)
(
(
−
2
)
,
7
6
)
,
(
(
−
1
)
,
2
3
)
,
(
(
−
2
)
,
(
−
11
6
)
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
5
6
)
)
(v)
(
(
−
2
)
,
7
6
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
1
6
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
5
6
)
)
Question
7
7.
Which of the displayed lines represent the equation
y
=
x
(i)
line with point
N
(ii)
line with point
P
(iii)
line with point
O
(iv)
line with point
Q
(v)
line with point
M
Question
8
8.
Find the set of points satisfying the equation
y
=
11
x
(i)
(
(
−
2
)
,
(
−
22
)
)
,
(
(
−
1
)
,
(
−
11
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
11
)
,
(
2
,
22
)
(ii)
(
(
−
2
)
,
(
−
22
)
)
,
(
(
−
1
)
,
(
−
11
)
)
,
(
0
,
0
)
,
(
1
,
11
)
,
(
2
,
22
)
(iii)
(
(
−
2
)
,
(
−
22
)
)
,
(
(
−
1
)
,
(
−
11
)
)
,
(
0
,
0
)
,
(
0
,
12
)
,
(
2
,
22
)
(iv)
(
(
−
2
)
,
(
−
22
)
)
,
(
(
−
1
)
,
(
−
11
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
11
)
,
(
2
,
22
)
(v)
(
(
−
2
)
,
(
−
22
)
)
,
(
(
−
1
)
,
(
−
11
)
)
,
(
0
,
0
)
,
(
1
,
11
)
,
(
4
,
24
)
Question
9
9.
Find the equation of the line passing through the points
(
6
,
(
−
2
)
)
and
(
(
−
1
)
,
4
)
(i)
(
5
x
+
7
y
−
22
)
=
0
(ii)
(
6
x
+
7
y
−
29
)
=
0
(iii)
(
7
x
+
7
y
−
22
)
=
0
(iv)
(
6
x
+
7
y
−
28
)
=
0
(v)
(
6
x
+
7
y
−
22
)
=
0
Question
10
10.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
3
)
,
(
−
9
)
)
(i)
x
=
(
−
3
)
(ii)
y
=
(
−
7
)
(iii)
y
=
(
−
9
)
(iv)
x
=
0
(v)
y
=
(
−
10
)
Question
11
11.
Find the equation parallel to the given equation
(i)
(
−
8
x
+
2
y
−
2
)
=
0
(ii)
(
−
3
x
+
4
y
+
5
)
=
0
(iii)
(
2
x
+
8
y
+
8
)
=
0
(iv)
(
5
x
+
4
y
−
32
)
=
0
Question
12
12.
Find the value of k such that
(
2
y
+
6
)
=
0
and
(
k
x
+
y
−
1
) = 0
are parallel to each other
(i)
-1
(ii)
0
(iii)
2
(iv)
1
(v)
-2
Question
13
13.
Solve
(
13
x
−
26
)
=
0
(
26
x
−
52
)
=
0
(i)
(
2
,
7
)
(ii)
(
1
,
6
)
(iii)
No solution
(iv)
(
2
,
(
−
6
)
)
(v)
Infinite solutions
Question
14
14.
Solve
(
2
x
+
5
y
+
4
)
=
0
(
x
−
2
y
−
1
)
=
0
(i)
(
(
-1
3
)
,
(
-2
3
)
)
(ii)
(
1
3
,
(
-4
3
)
)
(iii)
(
1
3
,
-2
)
(iv)
(
(
-1
5
)
,
-2
)
(v)
(
(
-1
5
)
,
(
-2
3
)
)
Question
15
15.
Find the equation parallel to the given equation
(
2
x
−
3
y
+
6
)
=
0
(i)
(
2
x
−
3
y
+
4
)
=
0
(ii)
(
−
5
x
+
3
y
−
59
)
=
0
(iii)
(
x
+
2
y
+
6
)
=
0
(iv)
(
3
x
+
2
y
+
15
)
=
0
Question
16
16.
Solve
(
3
x
+
6
y
+
36
)
=
0
(
x
−
3
y
−
8
)
=
0
(i)
(
(
−
5
)
,
(
−
3
)
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
(iii)
(
(
−
4
)
,
(
−
4
)
)
(iv)
(
(
−
3
)
,
(
−
5
)
)
(v)
(
(
−
6
)
,
(
−
6
)
)
Question
17
17.
Which of the displayed lines represent the equation
(
4
x
−
3
y
+
6
)
=
0
?
(i)
line with point
P
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
O
(v)
line with point
R
Question
18
18.
Find the set of points satisfying the equation
(
−
14
x
+
7
y
+
49
)
=
0
(i)
(
(
−
2
)
,
(
−
11
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
(
−
2
)
,
(
−
9
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
3
)
)
(ii)
(
(
−
2
)
,
(
−
11
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
5
)
)
,
(
4
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
(
−
11
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
7
)
)
,
(
0
,
(
−
4
)
)
,
(
2
,
(
−
3
)
)
(iv)
(
(
−
2
)
,
(
−
11
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
1
,
(
−
8
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
3
)
)
(v)
(
(
−
2
)
,
(
−
11
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
3
)
)
Question
19
19.
Which of the displayed lines represent the equation
y
=
(
−
9
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
P
(iv)
line with point
Q
(v)
line with point
T
Question
20
20.
Find the set of points satisfying the equation
x
=
(
−
1
12
y
+
3
2
)
(i)
(
(
−
2
)
,
42
)
,
(
(
−
1
)
,
30
)
,
(
0
,
18
)
,
(
1
,
6
)
,
(
4
,
(
−
4
)
)
(ii)
(
(
−
2
)
,
42
)
,
(
(
−
1
)
,
30
)
,
(
1
,
17
)
,
(
1
,
6
)
,
(
2
,
(
−
6
)
)
(iii)
(
(
−
2
)
,
42
)
,
(
(
−
1
)
,
30
)
,
(
0
,
18
)
,
(
0
,
7
)
,
(
2
,
(
−
6
)
)
(iv)
(
(
−
2
)
,
42
)
,
(
(
−
1
)
,
30
)
,
(
0
,
18
)
,
(
1
,
6
)
,
(
2
,
(
−
6
)
)
(v)
(
(
−
2
)
,
42
)
,
(
(
−
1
)
,
30
)
,
(
(
−
2
)
,
16
)
,
(
1
,
6
)
,
(
2
,
(
−
6
)
)
Question
21
21.
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 and coefficients of x and y will not be same
d)
Equations of two parallel lines differ in the constant term only, coefficients of x and y will be same
(i)
{a,d}
(ii)
{c,a,d}
(iii)
{b,d}
(iv)
{d}
Question
22
22.
Solve
(
y
−
5
)
=
0
(
y
−
3
)
=
0
(i)
(
2
,
4
)
(ii)
No solution
(iii)
(
5
,
4
)
(iv)
(
4
,
6
)
(v)
Infinite solutions
Question
23
23.
Find the set of points satisfying the equation
y
=
(
8
11
x
+
13
11
)
(i)
(
(
−
2
)
,
(
−
3
11
)
)
,
(
(
−
1
)
,
5
11
)
,
(
(
−
2
)
,
(
−
9
11
)
)
,
(
1
,
21
11
)
,
(
2
,
29
11
)
(ii)
(
(
−
2
)
,
(
−
3
11
)
)
,
(
(
−
1
)
,
5
11
)
,
(
0
,
13
11
)
,
(
0
,
32
11
)
,
(
2
,
29
11
)
(iii)
(
(
−
2
)
,
(
−
3
11
)
)
,
(
(
−
1
)
,
5
11
)
,
(
1
,
2
11
)
,
(
1
,
21
11
)
,
(
2
,
29
11
)
(iv)
(
(
−
2
)
,
(
−
3
11
)
)
,
(
(
−
1
)
,
5
11
)
,
(
0
,
13
11
)
,
(
1
,
21
11
)
,
(
4
,
51
11
)
(v)
(
(
−
2
)
,
(
−
3
11
)
)
,
(
(
−
1
)
,
5
11
)
,
(
0
,
13
11
)
,
(
1
,
21
11
)
,
(
2
,
29
11
)
Question
24
24.
Solve
(
5
x
−
3
y
−
4
)
=
(
3
x
−
4
y
+
4
)
(
−
2
x
−
5
y
+
2
)
=
(
4
x
−
4
y
+
4
)
(i)
(
(
-3
2
)
,
12
)
(ii)
(
(
-9
4
)
,
13
)
(iii)
(
(
-9
4
)
,
12
)
(iv)
(
(
-5
2
)
,
13
)
(v)
(
(
-3
2
)
,
10
)
Question
25
25.
Which of the following pairs of lines are parallel?
(i)
(
3
x
−
8
y
−
20
)
=
0
,
(
8
x
+
3
y
+
45
)
=
0
(ii)
(
3
x
−
8
y
−
20
)
=
0
,
(
−
11
x
+
8
y
−
152
)
=
0
(iii)
(
3
x
−
8
y
−
20
)
=
0
,
(
−
3
x
+
8
y
−
88
)
=
0
(iv)
(
3
x
−
8
y
−
20
)
=
0
,
(
5
x
+
3
y
+
36
)
=
0
Assignment Key
1) (iii)
2) (iii)
3) (v)
4) (iii)
5) (i)
6) (v)
7) (v)
8) (ii)
9) (v)
10) (iii)
11) (iii)
12) (ii)
13) (v)
14) (i)
15) (i)
16) (iii)
17) (iv)
18) (v)
19) (iii)
20) (iv)
21) (iv)
22) (ii)
23) (v)
24) (iv)
25) (iii)
