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
(
3
x
+
3
y
+
12
)
=
0
(
3
x
+
3
y
−
15
)
=
0
(i)
(
0
,
5
)
(ii)
No solution
(iii)
(
(
−
6
)
,
(
−
2
)
)
(iv)
(
(
−
4
)
,
0
)
(v)
Infinite solutions
Question
2
2.
Solve the following pair of equations :
5
√
x
−
10
√
y
=
15
−
3
√
x
−
17
√
y
=
129
(i)
(
1
81
,
(
-1
36
)
)
(ii)
(
1
83
,
1
36
)
(iii)
(
1
81
,
1
34
)
(iv)
(
1
81
,
1
36
)
(v)
(
1
27
,
1
36
)
Question
3
3.
Solve
(
−
5
x
+
3
y
−
3
)
=
0
(
4
x
−
y
+
1
)
=
0
(i)
(
0
,
1
)
(ii)
(
3
,
-2
)
(iii)
(
1
,
0
)
(iv)
(
3
,
0
)
(v)
(
1
,
1
)
Question
4
4.
Any line parallel to y-axis is
(i)
a curved line
(ii)
an oblique line
(iii)
a horizontal line
(iv)
a vertical line
Question
5
5.
Solve the following pair of equations :
(
−
7
x
+
4
y
)
=
(
−
3
x
y
)
(
−
3
x
−
8
y
)
=
(
−
11
x
y
)
(i)
(
4
,
1
1
)
(ii)
(
1
1
,
1
1
)
(iii)
(
1
1
,
0
)
(iv)
(
2
,
1
1
)
(v)
(
1
1
,
-1
)
Question
6
6.
Find the set of points satisfying the equation
x
=
(
−
11
7
y
+
9
7
)
(i)
(
(
−
2
)
,
23
11
)
,
(
(
−
1
)
,
16
11
)
,
(
(
−
2
)
,
(
−
13
11
)
)
,
(
1
,
2
11
)
,
(
2
,
(
−
5
11
)
)
(ii)
(
(
−
2
)
,
23
11
)
,
(
(
−
1
)
,
16
11
)
,
(
1
,
(
−
2
11
)
)
,
(
1
,
2
11
)
,
(
2
,
(
−
5
11
)
)
(iii)
(
(
−
2
)
,
23
11
)
,
(
(
−
1
)
,
16
11
)
,
(
0
,
9
11
)
,
(
1
,
2
11
)
,
(
2
,
(
−
5
11
)
)
(iv)
(
(
−
2
)
,
23
11
)
,
(
(
−
1
)
,
16
11
)
,
(
0
,
9
11
)
,
(
0
,
13
11
)
,
(
2
,
(
−
5
11
)
)
(v)
(
(
−
2
)
,
23
11
)
,
(
(
−
1
)
,
16
11
)
,
(
0
,
9
11
)
,
(
1
,
2
11
)
,
(
4
,
17
11
)
Question
7
7.
Find the set of points satisfying the equation
y
=
(
−
1
)
(i)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
0
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
4
,
1
)
Question
8
8.
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 term only, coefficients of x and y will be same
d)
Equations of two parallel lines differ in the constant and coefficients of x and y will not be same
(i)
{a,c}
(ii)
{d,a,c}
(iii)
{c}
(iv)
{b,c}
Question
9
9.
Solve
(
−
x
−
3
y
+
6
)
=
0
(
y
−
2
)
=
0
(i)
(
6
,
5
)
(ii)
(
0
,
2
)
(iii)
(
0
,
0
)
(iv)
(
3
,
1
)
Question
10
10.
Solve
(
y
+
2
)
=
0
(
y
−
2
)
=
0
(i)
(
1
,
(
−
4
)
)
(ii)
(
(
−
1
)
,
(
−
6
)
)
(iii)
(
(
−
6
)
,
2
)
(iv)
No solution
(v)
Infinite solutions
Question
11
11.
Solve the following pair of equations :
1
(
x
+
y
)
−
5
(
x
−
y
)
=
(
−
22
)
−
3
(
x
+
y
)
−
1
(
x
−
y
)
=
(
−
14
)
(i)
(
2
5
,
1
15
)
(ii)
(
4
15
,
1
15
)
(iii)
(
4
17
,
1
15
)
(iv)
(
4
15
,
1
13
)
(v)
(
4
15
,
(
-1
15
)
)
Question
12
12.
Which of the displayed lines represent the equation
(
3
x
−
5
y
+
13
)
=
0
?
(i)
line with point
P
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
R
(v)
line with point
T
Question
13
13.
Which of the following equations satisfy the given points
(
(
−
2
)
,
13
6
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
3
)
)
,
(
2
,
(
−
7
6
)
)
?
(i)
(
5
x
+
6
y
−
3
)
=
0
(ii)
x
=
(
1
4
y
+
3
4
)
(iii)
y
=
(
−
7
)
(iv)
y
=
(
−
1
4
x
−
29
4
)
(v)
(
−
4
x
−
16
y
)
=
0
Question
14
14.
Which of the following pairs of lines are parallel?
(i)
(
2
x
+
12
y
+
28
)
=
0
,
(
−
7
x
+
y
−
59
)
=
0
(ii)
(
2
x
+
12
y
+
28
)
=
0
,
(
x
+
6
y
−
7
)
=
0
(iii)
(
2
x
+
12
y
+
28
)
=
0
,
(
−
6
x
+
y
−
51
)
=
0
(iv)
(
2
x
+
12
y
+
28
)
=
0
,
(
−
5
x
+
6
y
+
35
)
=
0
Question
15
15.
The equation of x-axis is
(i)
y
=
0
(ii)
x
=
1
(iii)
y
=
1
(iv)
y
=
x
(v)
x
=
0
Question
16
16.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
1
,
(
−
1
)
)
(i)
x
=
3
(ii)
y
=
1
(iii)
y
=
(
−
1
)
(iv)
x
=
1
(v)
y
=
(
−
2
)
Question
17
17.
Which of the displayed lines represent the equation
x
=
5
(i)
line with point
T
(ii)
line with point
S
(iii)
line with point
U
(iv)
line with point
R
(v)
line with point
Q
Question
18
18.
Solve the following pair of equations :
6
(
x
+
9
)
+
9
(
y
+
4
)
=
36
−
2
(
x
+
9
)
−
4
(
y
+
4
)
=
(
−
14
)
(i)
(
1
,
(
-7
2
)
)
(ii)
(
(
-26
3
)
,
-1
)
(iii)
(
(
-26
3
)
,
-3
)
(iv)
(
(
-26
3
)
,
(
-7
2
)
)
(v)
(
3
,
(
-7
2
)
)
Question
19
19.
Find the equation parallel to the given equation
(i)
(
−
3
x
+
2
y
+
2
)
=
0
(ii)
(
8
x
+
4
y
+
1
)
=
0
(iii)
(
x
+
2
y
−
17
)
=
0
(iv)
(
4
x
−
8
y
−
1
)
=
0
Question
20
20.
Which of the displayed lines represent the equation
y
=
(
−
8
)
(i)
line with point
P
(ii)
line with point
S
(iii)
line with point
R
(iv)
line with point
T
(v)
line with point
Q
Question
21
21.
Solve the following pair of equations :
(
4
x
+
4
y
)
x
y
=
-20
(
−
9
x
+
7
y
)
x
y
=
-19
(i)
(
(
-1
4
)
,
1
-1
)
(ii)
(
(
-1
4
)
,
-2
)
(iii)
(
(
-3
4
)
,
1
-1
)
(iv)
(
(
-1
2
)
,
1
-1
)
(v)
(
(
-1
4
)
,
-3
)
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
1
11
)
)
,
(
(
−
1
)
,
(
−
15
11
)
)
,
(
0
,
(
−
29
11
)
)
,
(
1
,
(
−
43
11
)
)
,
(
2
,
(
−
57
11
)
)
?
(i)
y
=
4
(ii)
(
8
x
+
3
y
−
2
)
=
0
(iii)
y
=
(
−
14
11
x
+
4
)
(iv)
x
=
0
(v)
(
−
14
x
−
11
y
−
29
)
=
0
Question
23
23.
Solve the following pair of equations :
−
9
x
+
5
y
=
47
−
10
x
−
8
y
=
(
−
2
)
(i)
(
-3
,
(
-1
4
)
)
(ii)
(
-1
,
1
4
)
(iii)
(
-2
,
1
4
)
(iv)
(
-3
,
1
4
)
(v)
(
-3
,
1
2
)
Question
24
24.
Solve
(
3
x
+
5
y
+
5
)
=
3
(
−
x
+
4
y
−
4
)
=
1
(i)
(
(
-33
17
)
,
13
17
)
(ii)
(
(
-35
19
)
,
13
17
)
(iii)
(
(
-35
19
)
,
13
15
)
(iv)
(
(
-31
17
)
,
11
17
)
(v)
(
(
-31
17
)
,
13
15
)
Question
25
25.
Solve the following pair of equations :
−
15
x
+
3
y
=
(
−
27
)
−
1
x
+
5
y
=
27
(i)
(
1
3
,
5
)
(ii)
(
1
3
,
6
)
(iii)
(
1
5
,
6
)
(iv)
(
1
3
,
3
)
(v)
(
1
,
6
)
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (iv)
5) (ii)
6) (iii)
7) (iii)
8) (iii)
9) (ii)
10) (iv)
11) (ii)
12) (i)
13) (i)
14) (ii)
15) (i)
16) (iii)
17) (v)
18) (iv)
19) (iv)
20) (i)
21) (i)
22) (v)
23) (iv)
24) (i)
25) (ii)
