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.
The point of intersection of x-axis and y-axis
(i)
(
0
,
6
)
(ii)
(
1
,
0
)
(iii)
(
1
,
1
)
(iv)
(
0
,
0
)
(v)
(
4
,
0
)
Question
2
2.
Solve
(
−
5
x
+
5
y
−
3
)
=
2
(
−
4
x
−
4
y
+
4
)
=
(
−
2
)
(i)
(
1
6
,
5
4
)
(ii)
(
1
4
,
5
4
)
(iii)
(
3
4
,
3
4
)
(iv)
(
3
4
,
3
2
)
(v)
(
1
6
,
3
2
)
Question
3
3.
Which of the displayed lines represent the equation
y
=
5
8
x
(i)
line with point
M
(ii)
line with point
P
(iii)
line with point
Q
(iv)
line with point
N
(v)
line with point
O
Question
4
4.
Solve
(
−
2
x
−
9
y
+
19
)
=
0
(
−
8
x
+
40
)
=
0
(i)
(
4
,
2
)
(ii)
(
3
,
(
−
1
)
)
(iii)
(
7
,
3
)
(iv)
(
6
,
0
)
(v)
(
5
,
1
)
Question
5
5.
Find the equation of the displayed line
(i)
y
=
6
(ii)
4
y
=
7
(iii)
x
=
7
(iv)
y
=
7
(v)
y
=
8
Question
6
6.
Solve
(
2
x
+
7
y
+
26
)
=
0
(
2
x
+
7
y
−
4
)
=
0
(i)
Infinite solutions
(ii)
(
(
−
1
)
,
(
−
6
)
)
(iii)
(
(
−
5
)
,
2
)
(iv)
(
1
,
(
−
4
)
)
(v)
No solution
Question
7
7.
Solve
(
7
x
−
4
y
+
9
)
=
0
(
−
7
x
−
2
y
+
15
)
=
0
(i)
(
(
−
1
)
,
2
)
(ii)
(
6
,
7
)
(iii)
(
4
,
6
)
(iv)
(
3
,
6
)
(v)
(
1
,
4
)
Question
8
8.
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 have the same constant and coefficients of x and y will not be same
d)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
(i)
{b,a}
(ii)
{d,b,a}
(iii)
{a}
(iv)
{c,a}
Question
9
9.
Which of the following equations satisfy the given points
(
(
−
2
)
,
4
)
,
(
(
−
1
)
,
4
)
,
(
0
,
4
)
,
(
1
,
4
)
,
(
2
,
4
)
?
(i)
(
6
x
+
5
y
−
2
)
=
0
(ii)
y
=
(
−
8
x
+
60
)
(iii)
x
=
(
8
y
−
25
)
(iv)
x
=
7
(v)
y
=
4
Question
10
10.
Find the set of points satisfying the equation
y
=
(
−
9
8
x
+
21
8
)
(i)
(
(
−
2
)
,
39
8
)
,
(
(
−
1
)
,
15
4
)
,
(
0
,
21
8
)
,
(
1
,
3
2
)
,
(
2
,
3
8
)
(ii)
(
(
−
2
)
,
39
8
)
,
(
(
−
1
)
,
15
4
)
,
(
0
,
21
8
)
,
(
1
,
3
2
)
,
(
4
,
19
8
)
(iii)
(
(
−
2
)
,
39
8
)
,
(
(
−
1
)
,
15
4
)
,
(
1
,
13
8
)
,
(
1
,
3
2
)
,
(
2
,
3
8
)
(iv)
(
(
−
2
)
,
39
8
)
,
(
(
−
1
)
,
15
4
)
,
(
0
,
21
8
)
,
(
0
,
5
2
)
,
(
2
,
3
8
)
(v)
(
(
−
2
)
,
39
8
)
,
(
(
−
1
)
,
15
4
)
,
(
(
−
2
)
,
5
8
)
,
(
1
,
3
2
)
,
(
2
,
3
8
)
Question
11
11.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
(
−
7
)
,
(
−
1
)
)
(i)
x
=
(
−
4
)
(ii)
x
=
(
−
7
)
(iii)
y
=
1
(iv)
y
=
(
−
2
)
(v)
y
=
(
−
1
)
Question
12
12.
Which of the following lines do not pass through the origin?
(i)
(
2
x
−
6
y
)
=
0
(ii)
(
4
x
+
13
y
+
42
)
=
0
(iii)
(
−
2
x
+
4
y
)
=
0
(iv)
(
6
x
+
7
y
)
=
0
(v)
(
−
8
x
−
4
y
)
=
0
Question
13
13.
Solve the following pair of equations :
−
3
(
x
−
3
)
+
8
(
y
−
1
)
=
(
−
30
)
6
(
x
−
3
)
+
5
(
y
−
1
)
=
(
−
3
)
(i)
(
7
2
,
-3
)
(ii)
(
7
2
,
-1
)
(iii)
(
3
,
2
3
)
(iv)
(
7
2
,
2
3
)
(v)
(
1
,
2
3
)
Question
14
14.
The ratio of coefficients of x and y in the equations of any two parallel lines is
(i)
2
(ii)
same
(iii)
not same
(iv)
not proportional
(v)
1
Question
15
15.
Solve
(
x
−
5
)
=
0
(
x
−
4
)
=
0
(i)
(
(
−
2
)
,
(
−
5
)
)
(ii)
No solution
(iii)
(
4
,
2
)
(iv)
Infinite solutions
(v)
(
2
,
0
)
Question
16
16.
Find the equation of a straight line parallel to y-axis and
passing through the point
(
(
−
2
)
,
(
−
7
)
)
(i)
x
=
1
(ii)
y
=
(
−
7
)
(iii)
y
=
(
−
4
)
(iv)
x
=
(
−
3
)
(v)
x
=
(
−
2
)
Question
17
17.
Which of the following lines pass through the origin?
(i)
(
−
3
x
−
9
y
−
15
)
=
0
(ii)
(
12
x
+
6
y
−
60
)
=
0
(iii)
(
−
8
x
−
16
)
=
0
(iv)
(
8
x
−
y
)
=
0
(v)
(
−
x
+
3
y
−
23
)
=
0
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
4
)
,
(
0
,
7
2
)
,
(
1
,
3
)
,
(
2
,
5
2
)
?
(i)
x
=
(
−
1
)
(ii)
x
=
(
1
2
y
+
3
)
(iii)
y
=
(
−
8
)
(iv)
(
−
5
x
−
10
y
+
35
)
=
0
(v)
(
10
x
+
8
y
−
5
)
=
0
Question
19
19.
Which of the following equations satisfy the given points
(
(
−
2
)
,
13
21
)
,
(
(
−
1
)
,
8
21
)
,
(
0
,
1
7
)
,
(
1
,
(
−
2
21
)
)
,
(
2
,
(
−
1
3
)
)
?
(i)
y
=
(
−
1
)
(ii)
y
=
(
−
10
13
x
+
67
13
)
(iii)
x
=
8
(iv)
x
=
(
10
13
y
+
114
13
)
(v)
(
5
x
+
21
y
−
3
)
=
0
Question
20
20.
Find the equation parallel to the given equation
(
−
4
x
−
2
y
−
6
)
=
0
(i)
(
−
4
x
−
2
y
−
8
)
=
0
(ii)
(
−
3
x
+
2
y
+
24
)
=
0
(iii)
(
2
x
+
2
y
−
8
)
=
0
(iv)
(
−
x
+
2
y
+
11
)
=
0
Question
21
21.
Find the set of points satisfying the equation
x
=
(
7
6
y
−
23
6
)
(i)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
17
7
)
,
(
0
,
23
7
)
,
(
1
,
29
7
)
,
(
2
,
5
)
(ii)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
17
7
)
,
(
(
−
2
)
,
9
7
)
,
(
1
,
29
7
)
,
(
2
,
5
)
(iii)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
17
7
)
,
(
0
,
23
7
)
,
(
0
,
36
7
)
,
(
2
,
5
)
(iv)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
17
7
)
,
(
0
,
23
7
)
,
(
1
,
29
7
)
,
(
4
,
7
)
(v)
(
(
−
2
)
,
11
7
)
,
(
(
−
1
)
,
17
7
)
,
(
1
,
16
7
)
,
(
1
,
29
7
)
,
(
2
,
5
)
Question
22
22.
Find the set of points satisfying the equation
(
−
7
x
+
12
y
−
15
)
=
0
(i)
(
(
−
2
)
,
1
12
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
5
4
)
,
(
1
,
11
6
)
,
(
2
,
29
12
)
(ii)
(
(
−
2
)
,
1
12
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
5
4
)
,
(
0
,
17
6
)
,
(
2
,
29
12
)
(iii)
(
(
−
2
)
,
1
12
)
,
(
(
−
1
)
,
2
3
)
,
(
0
,
5
4
)
,
(
1
,
11
6
)
,
(
4
,
53
12
)
(iv)
(
(
−
2
)
,
1
12
)
,
(
(
−
1
)
,
2
3
)
,
(
1
,
1
4
)
,
(
1
,
11
6
)
,
(
2
,
29
12
)
(v)
(
(
−
2
)
,
1
12
)
,
(
(
−
1
)
,
2
3
)
,
(
(
−
2
)
,
(
−
3
4
)
)
,
(
1
,
11
6
)
,
(
2
,
29
12
)
Question
23
23.
Solve the following pair of equations :
(
12
x
+
8
y
)
x
y
=
-36
(
4
x
+
5
y
)
x
y
=
-5
(i)
(
1
3
,
(
-1
5
)
)
(ii)
(
1
,
(
-1
5
)
)
(iii)
(
1
5
,
(
-1
5
)
)
(iv)
(
1
3
,
(
-1
7
)
)
(v)
(
1
3
,
1
5
)
Question
24
24.
Which of the displayed lines represent the equation
x
=
6
(i)
line with point
X
(ii)
line with point
U
(iii)
line with point
V
(iv)
line with point
W
(v)
line with point
T
Question
25
25.
Which of the following pairs of lines are parallel?
(i)
(
2
x
−
7
y
+
30
)
=
0
,
(
5
x
+
2
y
+
23
)
=
0
(ii)
(
2
x
−
7
y
+
30
)
=
0
,
(
−
9
x
+
7
y
+
12
)
=
0
(iii)
(
2
x
−
7
y
+
30
)
=
0
,
(
−
2
x
+
7
y
−
30
)
=
0
(iv)
(
2
x
−
7
y
+
30
)
=
0
,
(
7
x
+
2
y
+
29
)
=
0
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (v)
5) (iv)
6) (v)
7) (v)
8) (iii)
9) (v)
10) (i)
11) (v)
12) (ii)
13) (iv)
14) (ii)
15) (ii)
16) (v)
17) (iv)
18) (iv)
19) (v)
20) (i)
21) (i)
22) (i)
23) (i)
24) (v)
25) (iii)
