EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The x-coordinate of a point is also called as
(i)
abscissa
(ii)
x-axis
(iii)
ordinate
(iv)
origin
(v)
y-axis
Question
2
2.
Distance of the point (1,6) from y-axis is
(i)
7
(ii)
(
−
5
)
(iii)
5
(iv)
1
(v)
6
Question
3
3.
Which of the following equations satisfy the given points
(
(
−
8
)
,
(
−
2
)
)
,
(
(
−
8
)
,
(
−
1
)
)
,
(
(
−
8
)
,
0
)
,
(
(
−
8
)
,
1
)
,
(
(
−
8
)
,
2
)
?
(i)
(
16
x
+
9
y
−
6
)
=
0
(ii)
x
=
(
−
8
)
(iii)
(
−
4
x
−
11
y
+
9
)
=
0
(iv)
x
=
(
4
11
y
−
108
11
)
(v)
y
=
5
Question
4
4.
Find the set of points satisfying the equation
(
3
x
+
3
y
−
1
)
=
0
(i)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
4
3
)
,
(
1
,
(
−
2
3
)
)
,
(
2
,
(
−
5
3
)
)
(ii)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
3
)
,
(
1
,
(
−
2
3
)
)
,
(
4
,
1
3
)
(iii)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
4
3
)
,
(
(
−
2
)
,
(
−
5
3
)
)
,
(
1
,
(
−
2
3
)
)
,
(
2
,
(
−
5
3
)
)
(iv)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
3
)
,
(
2
,
(
−
5
3
)
)
(v)
(
(
−
2
)
,
7
3
)
,
(
(
−
1
)
,
4
3
)
,
(
0
,
1
3
)
,
(
1
,
(
−
2
3
)
)
,
(
2
,
(
−
5
3
)
)
Question
5
5.
Determine the coordinates of point T in the diagram.
(i)
(
4
,
(
−
2
)
)
(ii)
(
(
−
4
)
,
2
)
(iii)
(
4
,
2
)
(iv)
(
(
−
4
)
,
(
−
2
)
)
(v)
(
(
−
2
)
,
(
−
4
)
)
Question
6
6.
A point lies on positive side of y-axis at a distance of 3 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
3
)
)
(ii)
(
0
,
3
)
(iii)
(
(
−
3
)
,
0
)
(iv)
(
3
,
0
)
Question
7
7.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
52
5
)
)
,
(
(
−
1
)
,
(
−
12
)
)
,
(
0
,
(
−
68
5
)
)
,
(
1
,
(
−
76
5
)
)
,
(
2
,
(
−
84
5
)
)
?
(i)
x
=
(
−
6
)
(ii)
(
8
x
+
8
y
−
7
)
=
0
(iii)
y
=
(
−
4
)
(iv)
(
−
16
x
−
10
y
+
58
)
=
0
(v)
y
=
(
−
8
5
x
−
68
5
)
Question
8
8.
Which of the following is a point on the positive y-axis?
(i)
(
7
,
0
)
(ii)
(
0
,
(
−
2
)
)
(iii)
(
0
,
8
)
(iv)
(
(
−
9
)
,
0
)
(v)
(
(
−
6
)
,
7
)
Question
9
9.
Which of the following equations satisfy the given points
(
(
−
2
)
,
38
15
)
,
(
(
−
1
)
,
8
5
)
,
(
0
,
2
3
)
,
(
1
,
(
−
4
15
)
)
,
(
2
,
(
−
6
5
)
)
?
(i)
y
=
(
−
13
8
x
+
9
8
)
(ii)
x
=
5
(iii)
x
=
(
13
8
y
+
131
8
)
(iv)
(
14
x
+
15
y
−
10
)
=
0
(v)
y
=
(
−
7
)
Question
10
10.
The equation of the line passing through the points
(
(
−
5
)
,
(
−
7
)
)
and
(
(
−
4
)
,
4
)
is
(i)
(
−
5
x
−
4
y
−
4
)
=
0
(ii)
(
4
x
+
4
y
+
4
)
=
0
(iii)
(
11
x
−
y
+
48
)
=
0
(iv)
(
6
x
−
5
y
−
5
)
=
0
Question
11
11.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The abscissa of every point on x-axis is zero
c)
The ordinate of every point on x-axis is zero
d)
The abscissa of every point on y-axis is zero
(i)
{c,d}
(ii)
{a,c}
(iii)
{a,d,c}
(iv)
{b,d}
(v)
{a,b,c}
Question
12
12.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
fourth quadrant
Question
13
13.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a horizontal line
Question
14
14.
In a coordinate geometry plane, the horizontal reference line is called
(i)
ordinate
(ii)
x-axis
(iii)
abscissa
(iv)
origin
(v)
y-axis
Question
15
15.
A point lies on negative side of y-axis at a distance of 9 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
9
)
(ii)
(
0
,
(
−
9
)
)
(iii)
(
9
,
0
)
(iv)
(
(
−
9
)
,
0
)
Question
16
16.
Which of the displayed lines represent the equation
x
=
1
(i)
line with point
R
(ii)
line with point
T
(iii)
line with point
Q
(iv)
line with point
S
(v)
line with point
U
Question
17
17.
The coordinates of a point which is 8 units away from x-axis and 6 units away from y-axis in the third quadrant is
(i)
(
(
−
6
)
,
8
)
(ii)
(
6
,
8
)
(iii)
(
(
−
6
)
,
(
−
8
)
)
(iv)
(
6
,
(
−
8
)
)
(v)
(
(
−
8
)
,
(
−
6
)
)
Question
18
18.
Determine the coordinates of point N in the diagram.
(i)
(
1
,
4
)
(ii)
(
(
−
1
)
,
4
)
(iii)
(
1
,
(
−
4
)
)
(iv)
(
(
−
4
)
,
1
)
(v)
(
(
−
1
)
,
(
−
4
)
)
Question
19
19.
If point P(x,y) lies in the fourth quadrant, then
(i)
x is negative and y is negative
(ii)
x is positive and y is negative
(iii)
x is positive and y is positive
(iv)
x is negative and y is positive
Question
20
20.
Which of the following is a point on the positive x-axis?
(i)
(
0
,
(
−
7
)
)
(ii)
(
(
−
6
)
,
0
)
(iii)
(
0
,
6
)
(iv)
(
(
−
2
)
,
8
)
(v)
(
9
,
0
)
Question
21
21.
Which of the following is a point on the negative y-axis?
(i)
(
(
−
2
)
,
0
)
(ii)
(
0
,
8
)
(iii)
(
0
,
(
−
4
)
)
(iv)
(
(
−
6
)
,
8
)
(v)
(
3
,
0
)
Question
22
22.
Determine the coordinates of point D in the diagram.
(i)
(
(
−
8
)
,
4
)
(ii)
(
(
−
8
)
,
(
−
4
)
)
(iii)
(
8
,
(
−
4
)
)
(iv)
(
8
,
4
)
(v)
(
4
,
8
)
Question
23
23.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
0
,
0
)
(iii)
(
8
,
0
)
(iv)
(
1
,
1
)
(v)
(
0
,
5
)
Question
24
24.
The point
(
(
−
9
)
,
5
)
lies in
(i)
second quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
25
25.
Which of the points (7,5), (-6,1), (-6,-4) and (8,-1) belong to the second quadrant?
(i)
(
7
,
5
)
(ii)
(
(
−
6
)
,
(
−
4
)
)
(iii)
(
8
,
(
−
1
)
)
(iv)
(
(
−
6
)
,
1
)
Assignment Key
1) (i)
2) (iv)
3) (ii)
4) (v)
5) (iv)
6) (ii)
7) (v)
8) (iii)
9) (iv)
10) (iii)
11) (i)
12) (iv)
13) (ii)
14) (ii)
15) (ii)
16) (iii)
17) (iii)
18) (iii)
19) (ii)
20) (v)
21) (iii)
22) (iv)
23) (ii)
24) (i)
25) (iv)
