EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
If point P(x,y) lies in the first quadrant, then
(i)
x is negative and y is positive
(ii)
x is positive and y is positive
(iii)
x is negative and y is negative
(iv)
x is positive and y is negative
Question
2
2.
Identify the point belonging to the second quadrant
(i)
(
(
−
7
)
,
(
−
3
)
)
(ii)
(
3
,
(
−
8
)
)
(iii)
(
(
−
1
)
,
4
)
(iv)
(
2
,
6
)
Question
3
3.
A point lies on negative side of y-axis at a distance of 4 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
4
)
)
(ii)
(
(
−
4
)
,
0
)
(iii)
(
0
,
4
)
(iv)
(
4
,
0
)
Question
4
4.
Which of the following are true?
a)
The ordinate of every point on y-axis is zero
b)
The ordinate of every point on x-axis is zero
c)
The abscissa of every point on y-axis is zero
d)
The abscissa of every point on x-axis is zero
(i)
{a,c,b}
(ii)
{b,c}
(iii)
{a,b}
(iv)
{d,c}
(v)
{a,d,b}
Question
5
5.
In a coordinate geometry plane, the horizontal reference line is called
(i)
y-axis
(ii)
ordinate
(iii)
origin
(iv)
abscissa
(v)
x-axis
Question
6
6.
The equation of x-axis is
(i)
y
=
x
(ii)
y
=
0
(iii)
x
=
1
(iv)
y
=
1
(v)
x
=
0
Question
7
7.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
5
)
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
,
(
1
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
?
(i)
y
=
(
−
5
)
(ii)
(
4
x
+
9
y
−
2
)
=
0
(iii)
x
=
(
11
4
y
+
55
4
)
(iv)
(
−
11
x
−
4
y
+
2
)
=
0
(v)
x
=
0
Question
8
8.
Which of the following lines pass through the origin?
(i)
(
−
13
x
+
y
−
84
)
=
0
(ii)
(
4
x
+
10
y
−
36
)
=
0
(iii)
(
10
x
−
y
−
38
)
=
0
(iv)
(
−
x
−
10
y
−
77
)
=
0
(v)
(
2
x
−
4
y
)
=
0
Question
9
9.
Which of the following equations satisfy the given points
(
6
,
(
−
2
)
)
,
(
6
,
(
−
1
)
)
,
(
6
,
0
)
,
(
6
,
1
)
,
(
6
,
2
)
?
(i)
x
=
(
8
9
y
+
6
)
(ii)
y
=
0
(iii)
y
=
(
−
8
9
x
+
16
3
)
(iv)
(
8
x
+
10
y
−
5
)
=
0
(v)
x
=
6
Question
10
10.
Which of the displayed lines represent the equation
x
=
9
(i)
line with point
T
(ii)
line with point
P
(iii)
line with point
S
(iv)
line with point
R
(v)
line with point
Q
Question
11
11.
Determine the coordinates of point R in the diagram.
(i)
(
6
,
6
)
(ii)
(
(
−
6
)
,
6
)
(iii)
(
6
,
(
−
6
)
)
(iv)
(
(
−
6
)
,
(
−
6
)
)
Question
12
12.
Find the set of points satisfying the equation
x
=
7
(i)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
7
,
0
)
,
(
6
,
2
)
,
(
7
,
2
)
(ii)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
5
,
(
−
2
)
)
,
(
7
,
1
)
,
(
7
,
2
)
(iii)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
7
,
0
)
,
(
7
,
1
)
,
(
7
,
2
)
(iv)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
8
,
(
−
1
)
)
,
(
7
,
1
)
,
(
7
,
2
)
(v)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
7
,
0
)
,
(
7
,
1
)
,
(
9
,
4
)
Question
13
13.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
14
14.
The coordinates of a point which is 1 unit away from x-axis and 7 units away from y-axis in the fourth quadrant is
(i)
(
(
−
7
)
,
1
)
(ii)
(
7
,
1
)
(iii)
(
7
,
(
−
1
)
)
(iv)
(
(
−
7
)
,
(
−
1
)
)
(v)
(
(
−
1
)
,
7
)
Question
15
15.
Which of the following lines do not pass through the origin?
(i)
(
7
x
−
4
y
)
=
0
(ii)
(
−
7
x
+
8
y
)
=
0
(iii)
(
−
6
x
−
5
y
)
=
0
(iv)
(
−
6
x
+
5
y
−
13
)
=
0
(v)
(
x
+
y
)
=
0
Question
16
16.
Which of the following is a point on the x-axis?
(i)
(
0
,
9
)
(ii)
(
7
,
3
)
(iii)
(
(
−
3
)
,
3
)
(iv)
(
2
,
(
−
1
)
)
(v)
(
7
,
0
)
Question
17
17.
Which of the following is a point on the positive x-axis?
(i)
(
1
,
0
)
(ii)
(
(
−
8
)
,
7
)
(iii)
(
0
,
5
)
(iv)
(
(
−
4
)
,
0
)
(v)
(
0
,
(
−
2
)
)
Question
18
18.
The point
(
(
−
7
)
,
2
)
lies in
(i)
third quadrant
(ii)
second quadrant
(iii)
fourth quadrant
(iv)
first quadrant
Question
19
19.
The point
(
8
,
1
)
lies in
(i)
second quadrant
(ii)
third quadrant
(iii)
fourth quadrant
(iv)
first quadrant
Question
20
20.
The coordinates of a point which is 1 unit away from x-axis and 2 units away from y-axis in the second quadrant is
(i)
(
(
−
2
)
,
1
)
(ii)
(
2
,
1
)
(iii)
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
(
−
1
)
)
(v)
(
1
,
(
−
2
)
)
Question
21
21.
The coordinates of a point which is 2 units away from x-axis and 3 units away from y-axis in the third quadrant is
(i)
(
(
−
3
)
,
(
−
2
)
)
(ii)
(
(
−
3
)
,
2
)
(iii)
(
3
,
(
−
2
)
)
(iv)
(
(
−
2
)
,
(
−
3
)
)
(v)
(
3
,
2
)
Question
22
22.
Distance of the point (3,3) from y-axis is
(i)
6
(ii)
3
(iii)
0
Question
23
23.
The point of intersection of x-axis and y-axis
(i)
(
1
,
0
)
(ii)
(
3
,
0
)
(iii)
(
0
,
3
)
(iv)
(
1
,
1
)
(v)
(
0
,
0
)
Question
24
24.
Which of the displayed lines represent the equation
y
=
(
−
9
5
x
)
(i)
line with point
V
(ii)
line with point
T
(iii)
line with point
U
(iv)
line with point
S
(v)
line with point
R
Question
25
25.
Find the set of points satisfying the equation
x
=
(
−
1
3
y
+
5
3
)
(i)
(
(
−
2
)
,
11
)
,
(
(
−
1
)
,
8
)
,
(
(
−
2
)
,
3
)
,
(
1
,
2
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
11
)
,
(
(
−
1
)
,
8
)
,
(
0
,
5
)
,
(
1
,
2
)
,
(
2
,
(
−
1
)
)
(iii)
(
(
−
2
)
,
11
)
,
(
(
−
1
)
,
8
)
,
(
0
,
5
)
,
(
0
,
3
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
11
)
,
(
(
−
1
)
,
8
)
,
(
1
,
4
)
,
(
1
,
2
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
11
)
,
(
(
−
1
)
,
8
)
,
(
0
,
5
)
,
(
1
,
2
)
,
(
4
,
1
)
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (ii)
5) (v)
6) (ii)
7) (i)
8) (v)
9) (v)
10) (ii)
11) (iii)
12) (iii)
13) (iv)
14) (iii)
15) (iv)
16) (v)
17) (i)
18) (ii)
19) (iv)
20) (i)
21) (i)
22) (ii)
23) (v)
24) (v)
25) (ii)
