EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the displayed lines represent the equation
y
=
5
2
x
(i)
line with point
T
(ii)
line with point
W
(iii)
line with point
V
(iv)
line with point
X
(v)
line with point
U
Question
2
2.
The equation of y-axis is
(i)
x
=
1
(ii)
y
=
0
(iii)
x
=
0
(iv)
y
=
1
(v)
y
=
x
Question
3
3.
Find the set of points satisfying the equation
y
=
(
8
x
−
57
)
(i)
(
(
−
2
)
,
(
−
73
)
)
,
(
(
−
1
)
,
(
−
65
)
)
,
(
0
,
(
−
57
)
)
,
(
0
,
(
−
48
)
)
,
(
2
,
(
−
41
)
)
(ii)
(
(
−
2
)
,
(
−
73
)
)
,
(
(
−
1
)
,
(
−
65
)
)
,
(
0
,
(
−
57
)
)
,
(
1
,
(
−
49
)
)
,
(
2
,
(
−
41
)
)
(iii)
(
(
−
2
)
,
(
−
73
)
)
,
(
(
−
1
)
,
(
−
65
)
)
,
(
1
,
(
−
58
)
)
,
(
1
,
(
−
49
)
)
,
(
2
,
(
−
41
)
)
(iv)
(
(
−
2
)
,
(
−
73
)
)
,
(
(
−
1
)
,
(
−
65
)
)
,
(
(
−
2
)
,
(
−
59
)
)
,
(
1
,
(
−
49
)
)
,
(
2
,
(
−
41
)
)
(v)
(
(
−
2
)
,
(
−
73
)
)
,
(
(
−
1
)
,
(
−
65
)
)
,
(
0
,
(
−
57
)
)
,
(
1
,
(
−
49
)
)
,
(
4
,
(
−
39
)
)
Question
4
4.
Find the set of points satisfying the equation
x
=
(
−
2
)
(i)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
(ii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
0
,
4
)
(iii)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
3
)
,
2
)
,
(
(
−
2
)
,
2
)
(iv)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
2
)
,
0
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
(v)
(
(
−
2
)
,
(
−
2
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
2
)
,
1
)
,
(
(
−
2
)
,
2
)
Question
5
5.
A point lies on positive side of x-axis at a distance of 3 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
3
)
(ii)
(
3
,
0
)
(iii)
(
(
−
3
)
,
0
)
(iv)
(
0
,
(
−
3
)
)
Question
6
6.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
y
(ii)
x
=
0
(iii)
y
=
0
(iv)
y
=
k
(v)
x
=
k
Question
7
7.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
fourth quadrant
(iii)
first quadrant
(iv)
second quadrant
Question
8
8.
The point
(
7
,
4
)
lies in
(i)
first quadrant
(ii)
third quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
9
9.
The coordinates of a point which is 1 unit away from x-axis and 2 units away from y-axis in the first quadrant is
(i)
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
1
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
(iv)
(
1
,
2
)
(v)
(
2
,
1
)
Question
10
10.
The point
(
(
−
9
)
,
(
−
3
)
)
lies in
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
11
11.
Determine the coordinates of point T in the diagram.
(i)
(
(
−
5
)
,
3
)
(ii)
(
3
,
5
)
(iii)
(
(
−
3
)
,
5
)
(iv)
(
(
−
3
)
,
(
−
5
)
)
(v)
(
3
,
(
−
5
)
)
Question
12
12.
The coordinates of a point which is 2 units away from x-axis and 6 units away from y-axis in the fourth quadrant is
(i)
(
(
−
6
)
,
2
)
(ii)
(
(
−
2
)
,
6
)
(iii)
(
6
,
(
−
2
)
)
(iv)
(
(
−
6
)
,
(
−
2
)
)
(v)
(
6
,
2
)
Question
13
13.
Any line parallel to x-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a curved line
(iv)
a horizontal line
Question
14
14.
The coordinates of a point which is 3 units away from x-axis and 5 units away from y-axis in the second quadrant is
(i)
(
5
,
3
)
(ii)
(
3
,
(
−
5
)
)
(iii)
(
(
−
5
)
,
3
)
(iv)
(
(
−
5
)
,
(
−
3
)
)
(v)
(
5
,
(
−
3
)
)
Question
15
15.
Which of the following lines pass through the origin?
(i)
(
8
x
−
8
)
=
0
(ii)
(
−
6
x
+
2
y
−
28
)
=
0
(iii)
(
x
+
5
y
−
6
)
=
0
(iv)
(
x
−
y
)
=
0
(v)
(
−
3
x
−
7
y
−
46
)
=
0
Question
16
16.
If point P(x,y) lies in the first quadrant, then
(i)
x is negative and y is negative
(ii)
x is positive and y is positive
(iii)
x is negative and y is positive
(iv)
x is positive and y is negative
Question
17
17.
Which of the following is a point on the y-axis?
(i)
(
7
,
1
)
(ii)
(
2
,
(
−
3
)
)
(iii)
(
7
,
0
)
(iv)
(
0
,
5
)
(v)
(
(
−
7
)
,
2
)
Question
18
18.
The y-coordinate of a point is also called as
(i)
abscissa
(ii)
origin
(iii)
x-axis
(iv)
ordinate
(v)
y-axis
Question
19
19.
Identify the point belonging to the second quadrant
(i)
(
(
−
3
)
,
2
)
(ii)
(
(
−
5
)
,
(
−
6
)
)
(iii)
(
4
,
(
−
7
)
)
(iv)
(
5
,
6
)
Question
20
20.
The coordinates of the origin are
(i)
(
0
,
9
)
(ii)
(
2
,
0
)
(iii)
(
0
,
0
)
(iv)
(
1
,
0
)
(v)
(
1
,
1
)
Question
21
21.
A point lies on positive side of y-axis at a distance of 2 units from x-axis. What are the coordinates of the point?
(i)
(
2
,
0
)
(ii)
(
0
,
(
−
2
)
)
(iii)
(
(
−
2
)
,
0
)
(iv)
(
0
,
2
)
Question
22
22.
Which of the displayed lines represent the equation
x
=
2
(i)
line with point
S
(ii)
line with point
V
(iii)
line with point
T
(iv)
line with point
U
(v)
line with point
W
Question
23
23.
Which of the points (1,4), (-6,2), (-3,-8) and (3,-8) belong to the fourth quadrant?
(i)
(
1
,
4
)
(ii)
(
3
,
(
−
8
)
)
(iii)
(
(
−
3
)
,
(
−
8
)
)
(iv)
(
(
−
6
)
,
2
)
Question
24
24.
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
25
25.
Which of the following equations satisfy the given points
(
(
−
2
)
,
0
)
,
(
(
−
1
)
,
0
)
,
(
0
,
0
)
,
(
1
,
0
)
,
(
2
,
0
)
?
(i)
y
=
0
(ii)
(
3
x
+
8
y
−
1
)
=
0
(iii)
(
−
14
x
−
9
y
−
26
)
=
0
(iv)
y
=
(
−
14
9
x
−
70
9
)
(v)
x
=
(
−
5
)
Assignment Key
1) (i)
2) (iii)
3) (ii)
4) (iv)
5) (ii)
6) (iv)
7) (i)
8) (i)
9) (v)
10) (iv)
11) (v)
12) (iii)
13) (iv)
14) (iii)
15) (iv)
16) (ii)
17) (iv)
18) (iv)
19) (i)
20) (iii)
21) (iv)
22) (i)
23) (ii)
24) (iii)
25) (i)
