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.
Which of the displayed lines represent the equation
(
5
x
−
5
y
−
5
)
=
0
?
(i)
line with point
R
(ii)
line with point
N
(iii)
line with point
P
(iv)
line with point
Q
(v)
line with point
O
Question
2
2.
Solve the following pair of equations :
−
2
(
5
x
+
y
)
+
3
(
5
x
−
y
)
=
(
−
4
)
10
(
5
x
+
y
)
−
7
(
5
x
−
y
)
=
4
(i)
(
(
-3
22
)
,
(
-1
4
)
)
(ii)
(
(
-1
20
)
,
(
-1
4
)
)
(iii)
(
(
-3
20
)
,
(
-1
2
)
)
(iv)
(
(
-3
20
)
,
(
-1
4
)
)
(v)
(
(
-3
20
)
,
(
-3
4
)
)
Question
3
3.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
5
,
0
)
(iii)
(
0
,
0
)
(iv)
(
0
,
6
)
(v)
(
1
,
1
)
Question
4
4.
Any line parallel to y-axis is
(i)
an oblique line
(ii)
a horizontal line
(iii)
a vertical line
(iv)
a curved line
Question
5
5.
Solve
(
−
3
x
+
3
y
+
1
)
=
0
(
−
3
x
+
5
y
+
4
)
=
0
(i)
(
(
-9
8
)
,
-2
)
(ii)
(
(
-7
6
)
,
(
-3
2
)
)
(iii)
(
(
-5
6
)
,
-2
)
(iv)
(
(
-5
6
)
,
(
-5
2
)
)
(v)
(
(
-9
8
)
,
(
-3
2
)
)
Question
6
6.
The equation of y-axis is
(i)
y
=
1
(ii)
x
=
1
(iii)
y
=
0
(iv)
x
=
0
(v)
y
=
x
Question
7
7.
Solve the following pair of equations :
−
2
(
x
+
y
)
+
11
(
x
−
y
)
=
28
−
4
(
x
+
y
)
+
6
(
x
−
y
)
=
(
−
8
)
(i)
(
5
16
,
(
-1
16
)
)
(ii)
(
3
16
,
(
-3
16
)
)
(iii)
(
3
16
,
(
-1
14
)
)
(iv)
(
3
16
,
(
-1
16
)
)
(v)
(
1
6
,
(
-1
16
)
)
Question
8
8.
Solve
(
8
x
−
24
)
=
0
(
5
x
−
2
y
−
29
)
=
0
(i)
(
4
,
-7
)
(ii)
(
3
,
-8
)
(iii)
(
3
,
-7
)
(iv)
(
3
,
-10
)
(v)
(
6
,
-7
)
Question
9
9.
Find the equation of the displayed line
(i)
x
=
(
−
5
)
(ii)
x
=
(
−
7
)
(iii)
4
x
=
(
−
6
)
(iv)
x
=
(
−
6
)
(v)
y
=
(
−
6
)
Question
10
10.
Which of the displayed lines represent the equation
y
=
(
−
4
x
)
(i)
line with point
S
(ii)
line with point
R
(iii)
line with point
V
(iv)
line with point
T
(v)
line with point
U
Question
11
11.
Find the set of points satisfying the equation
x
=
9
(i)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
9
,
2
)
(ii)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
9
,
1
)
,
(
11
,
4
)
(iii)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
7
,
(
−
2
)
)
,
(
9
,
1
)
,
(
9
,
2
)
(iv)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
10
,
(
−
1
)
)
,
(
9
,
1
)
,
(
9
,
2
)
(v)
(
9
,
(
−
2
)
)
,
(
9
,
(
−
1
)
)
,
(
9
,
0
)
,
(
8
,
2
)
,
(
9
,
2
)
Question
12
12.
Solve
(
−
4
x
−
2
y
−
8
)
=
0
(
x
+
3
)
=
0
(i)
(
3
,
2
)
(ii)
(
0
,
2
)
(iii)
(
(
−
3
)
,
0
)
(iv)
(
(
−
3
)
,
2
)
(v)
(
(
−
1
)
,
(
−
2
)
)
Question
13
13.
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 differ in the constant and coefficients of x and y will not 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 term only, coefficients of x and y will be same
(i)
{b,d}
(ii)
{d}
(iii)
{c,a,d}
(iv)
{a,d}
Question
14
14.
Find the equation of a straight line parallel to x-axis and
passing through the point
(
4
,
8
)
(i)
y
=
8
(ii)
y
=
10
(iii)
x
=
6
(iv)
x
=
4
(v)
y
=
7
Question
15
15.
Which of the displayed lines represent the equation
y
=
6
(i)
line with point
P
(ii)
line with point
T
(iii)
line with point
S
(iv)
line with point
Q
(v)
line with point
R
Question
16
16.
Solve the following pair of equations :
−
3
x
+
4
y
=
23
5
x
+
3
y
=
(
−
19
)
(i)
(
(
-1
5
)
,
(
-1
2
)
)
(ii)
(
(
-1
5
)
,
1
)
(iii)
(
(
-1
3
)
,
1
2
)
(iv)
(
(
-3
5
)
,
1
2
)
(v)
(
(
-1
5
)
,
1
2
)
Question
17
17.
A motor boat can travel at a speed of 62.67 m/sec downstream and 2.47 m/sec upstream. What is the speed of the motor boat in still water?
(i)
31.57 m/sec
(ii)
33.57 m/sec
(iii)
32.57 m/sec
(iv)
30.57 m/sec
(v)
34.57 m/sec
Question
18
18.
Solve
(
4
x
+
7
y
−
41
)
=
0
(
−
4
x
−
5
y
+
27
)
=
0
(i)
(
0
,
9
)
(ii)
(
3
,
3
)
(iii)
(
7
,
4
)
(iv)
(
(
−
4
)
,
5
)
(v)
(
(
−
2
)
,
7
)
Question
19
19.
Write the given equation
y
=
(
2
3
x
−
5
3
)
in
a
x
+
b
y
+
c
= 0
form
(i)
(
−
2
3
x
+
y
+
5
3
)
=
0
(ii)
(
−
2
3
x
+
3
y
+
5
3
)
=
0
(iii)
(
−
2
3
x
−
2
y
+
5
3
)
=
0
(iv)
(
−
2
x
+
y
+
5
3
)
=
0
(v)
(
−
2
5
x
+
y
+
5
3
)
=
0
Question
20
20.
Solve
(
3
x
+
2
y
−
2
)
=
4
(
−
4
x
+
2
y
+
2
)
=
2
(i)
(
6
7
,
12
7
)
(ii)
(
8
7
,
10
7
)
(iii)
(
2
3
,
2
)
(iv)
(
2
3
,
12
7
)
(v)
(
8
7
,
2
)
Question
21
21.
Find the equation parallel to the given equation
(
5
x
+
y
−
2
)
=
0
(i)
(
5
x
+
y
−
7
)
=
0
(ii)
(
−
6
x
+
5
y
+
33
)
=
0
(iii)
(
−
x
+
5
y
−
13
)
=
0
(iv)
(
4
x
+
y
+
8
)
=
0
Question
22
22.
Solve
(
y
+
4
)
=
0
(
y
+
3
)
=
0
(i)
No solution
(ii)
Infinite solutions
(iii)
(
0
,
(
−
1
)
)
(iv)
(
2
,
1
)
(v)
(
4
,
3
)
Question
23
23.
Find the value of k such that
(
4
x
−
8
y
+
16
)
=
0
and
(
k
x
+
2
y
+
6
) = 0
are parallel to each other
(i)
-2
(ii)
2
(iii)
-1
(iv)
0
(v)
-3
Question
24
24.
Find the equation parallel to the given equation
(i)
(
−
6
x
+
3
y
+
9
)
=
0
(ii)
(
3
x
+
3
y
+
9
)
=
0
(iii)
(
y
−
5
)
=
0
(iv)
(
3
x
−
3
y
+
1
)
=
0
Question
25
25.
The equation of x-axis is
(i)
x
=
1
(ii)
y
=
1
(iii)
y
=
0
(iv)
x
=
0
(v)
y
=
x
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (iii)
5) (ii)
6) (iv)
7) (iv)
8) (iii)
9) (iv)
10) (ii)
11) (i)
12) (iv)
13) (ii)
14) (i)
15) (i)
16) (v)
17) (iii)
18) (v)
19) (i)
20) (i)
21) (i)
22) (i)
23) (iii)
24) (iv)
25) (iii)
