EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
The point
(
(
−
5
)
,
4
)
lies in
(i)
fourth quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
2
2.
Which of the points (9,2), (-2,4), (-1,-2) and (8,-6) belong to the second quadrant?
(i)
(
(
−
1
)
,
(
−
2
)
)
(ii)
(
(
−
2
)
,
4
)
(iii)
(
9
,
2
)
(iv)
(
8
,
(
−
6
)
)
Question
3
3.
Which of the following lines pass through the origin?
(i)
(
3
x
+
y
−
22
)
=
0
(ii)
(
2
x
−
16
y
−
48
)
=
0
(iii)
(
4
x
+
8
y
−
36
)
=
0
(iv)
(
−
9
x
+
7
y
−
44
)
=
0
(v)
(
x
−
7
y
)
=
0
Question
4
4.
The equation of the x-axis is
a)
y
=
0
b)
x
=
0
c)
x
=
1
d)
y
=
1
e)
x
=
y
(i)
{b,a}
(ii)
{a}
(iii)
{c,a}
(iv)
{d,e,a}
Question
5
5.
Identify the point belonging to the second quadrant
(i)
(
(
−
1
)
,
5
)
(ii)
(
4
,
7
)
(iii)
(
(
−
8
)
,
(
−
4
)
)
(iv)
(
1
,
(
−
8
)
)
Question
6
6.
In a coordinate geometry plane, the vertical reference line is called
(i)
abscissa
(ii)
origin
(iii)
x-axis
(iv)
y-axis
(v)
ordinate
Question
7
7.
Find the equation of the displayed line
(i)
x
=
(
−
8
)
(ii)
y
=
(
−
8
)
(iii)
4
y
=
(
−
8
)
(iv)
y
=
(
−
9
)
(v)
y
=
(
−
7
)
Question
8
8.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
an oblique line
(iii)
a curved line
(iv)
a horizontal line
Question
9
9.
Determine the coordinates of point A in the diagram.
(i)
(
(
−
6
)
,
(
−
8
)
)
(ii)
(
6
,
8
)
(iii)
(
(
−
8
)
,
6
)
(iv)
(
6
,
(
−
8
)
)
(v)
(
(
−
6
)
,
8
)
Question
10
10.
Which of the displayed lines represent the equation
(
3
x
−
5
y
−
12
)
=
0
?
(i)
line with point
U
(ii)
line with point
T
(iii)
line with point
V
(iv)
line with point
S
(v)
line with point
R
Question
11
11.
Which of the points (2,6), (-1,3), (-1,-3) and (1,-5) belong to the third quadrant?
(i)
(
(
−
1
)
,
3
)
(ii)
(
1
,
(
−
5
)
)
(iii)
(
2
,
6
)
(iv)
(
(
−
1
)
,
(
−
3
)
)
Question
12
12.
Identify the point belonging to the third quadrant
(i)
(
5
,
5
)
(ii)
(
8
,
(
−
1
)
)
(iii)
(
(
−
1
)
,
1
)
(iv)
(
(
−
6
)
,
(
−
4
)
)
Question
13
13.
Which of the following is a point on the negative x-axis?
(i)
(
0
,
(
−
6
)
)
(ii)
(
(
−
1
)
,
0
)
(iii)
(
7
,
0
)
(iv)
(
0
,
5
)
(v)
(
(
−
8
)
,
9
)
Question
14
14.
Which of the displayed lines represent the equation
y
=
(
−
1
2
x
)
(i)
line with point
R
(ii)
line with point
S
(iii)
line with point
Q
(iv)
line with point
P
(v)
line with point
T
Question
15
15.
Which of the following are true?
a)
Equation of the line passing through origin is y = mx +
6
b)
Equation of the line passing through origin is y = x
c)
Equation of the line passing through origin is
y
=
m
x
d)
Equation of the line passing through origin is
y
=
m
x
+
c
(i)
{b,c}
(ii)
{a,c,b}
(iii)
{d,c}
(iv)
{a,b}
(v)
{a,d,b}
Question
16
16.
The point
(
9
,
5
)
lies in
(i)
third quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
17
17.
In a coordinate geometry plane, the horizontal reference line is called
(i)
origin
(ii)
ordinate
(iii)
abscissa
(iv)
y-axis
(v)
x-axis
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
8
)
,
(
0
,
8
)
,
(
1
,
8
)
,
(
2
,
8
)
?
(i)
y
=
(
−
x
+
8
)
(ii)
x
=
(
y
−
8
)
(iii)
(
3
x
+
3
y
−
2
)
=
0
(iv)
y
=
8
(v)
(
−
14
x
−
14
y
+
42
)
=
0
Question
19
19.
Find the set of points satisfying the equation
y
=
(
11
4
x
+
27
2
)
(i)
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
43
4
)
,
(
(
−
2
)
,
23
2
)
,
(
1
,
65
4
)
,
(
2
,
19
)
(ii)
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
43
4
)
,
(
0
,
27
2
)
,
(
1
,
65
4
)
,
(
2
,
19
)
(iii)
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
43
4
)
,
(
0
,
27
2
)
,
(
0
,
69
4
)
,
(
2
,
19
)
(iv)
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
43
4
)
,
(
0
,
27
2
)
,
(
1
,
65
4
)
,
(
4
,
21
)
(v)
(
(
−
2
)
,
8
)
,
(
(
−
1
)
,
43
4
)
,
(
1
,
25
2
)
,
(
1
,
65
4
)
,
(
2
,
19
)
Question
20
20.
A point lies on positive side of x-axis at a distance of 6 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
6
)
(ii)
(
0
,
(
−
6
)
)
(iii)
(
6
,
0
)
(iv)
(
(
−
6
)
,
0
)
Question
21
21.
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)
(
(
−
4
)
,
0
)
(ii)
(
0
,
(
−
4
)
)
(iii)
(
0
,
4
)
(iv)
(
4
,
0
)
Question
22
22.
Find the set of points satisfying the equation
x
=
2
(i)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
3
,
(
−
1
)
)
,
(
2
,
1
)
,
(
2
,
2
)
(ii)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
2
,
1
)
,
(
2
,
2
)
(iii)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
0
,
(
−
2
)
)
,
(
2
,
1
)
,
(
2
,
2
)
(iv)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
1
,
2
)
,
(
2
,
2
)
(v)
(
2
,
(
−
2
)
)
,
(
2
,
(
−
1
)
)
,
(
2
,
0
)
,
(
2
,
1
)
,
(
4
,
4
)
Question
23
23.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
third quadrant
(iii)
first quadrant
(iv)
second quadrant
Question
24
24.
Which of the displayed lines represent the equation
y
=
(
3
4
x
−
1
2
)
(i)
line with point
N
(ii)
line with point
P
(iii)
line with point
M
(iv)
line with point
Q
(v)
line with point
O
Question
25
25.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
fourth quadrant
Assignment Key
1) (iv)
2) (ii)
3) (v)
4) (ii)
5) (i)
6) (iv)
7) (ii)
8) (iv)
9) (iv)
10) (v)
11) (iv)
12) (iv)
13) (ii)
14) (iv)
15) (i)
16) (ii)
17) (v)
18) (iv)
19) (ii)
20) (iii)
21) (ii)
22) (ii)
23) (ii)
24) (iii)
25) (iv)
