EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
In a coordinate geometry plane, the vertical reference line is called
(i)
abscissa
(ii)
ordinate
(iii)
y-axis
(iv)
x-axis
(v)
origin
Question
2
2.
Which of the following equations satisfy the given points
(
(
−
2
)
,
39
14
)
,
(
(
−
1
)
,
12
7
)
,
(
0
,
9
14
)
,
(
1
,
(
−
3
7
)
)
,
(
2
,
(
−
3
2
)
)
?
(i)
(
−
15
x
−
14
y
+
9
)
=
0
(ii)
x
=
(
15
14
y
+
129
14
)
(iii)
(
16
x
+
9
y
−
8
)
=
0
(iv)
y
=
(
−
3
)
(v)
y
=
(
−
15
14
x
+
24
7
)
Question
3
3.
Which of the following are true?
a)
Equation of the line passing through origin is y = x
b)
Equation of the line passing through origin is y = mx +
4
c)
Equation of the line passing through origin is
y
=
m
x
+
c
d)
Equation of the line passing through origin is
y
=
m
x
(i)
{a,d}
(ii)
{b,a}
(iii)
{b,c,a}
(iv)
{b,d,a}
(v)
{c,d}
Question
4
4.
Which of the following equations satisfy the given points
(
(
−
2
)
,
(
−
29
7
)
)
,
(
(
−
1
)
,
(
−
39
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
59
7
)
)
,
(
2
,
(
−
69
7
)
)
?
(i)
y
=
3
(ii)
y
=
(
−
10
7
x
−
7
)
(iii)
(
5
x
+
8
y
−
3
)
=
0
(iv)
x
=
(
−
7
)
(v)
x
=
(
10
7
y
−
79
7
)
Question
5
5.
If point P(x,y) lies in the first quadrant, then
(i)
x is positive and y is negative
(ii)
x is positive and y is positive
(iii)
x is negative and y is positive
(iv)
x is negative and y is negative
Question
6
6.
Identify the point belonging to the fourth quadrant
(i)
(
(
−
1
)
,
(
−
7
)
)
(ii)
(
4
,
(
−
8
)
)
(iii)
(
(
−
4
)
,
2
)
(iv)
(
1
,
4
)
Question
7
7.
Which of the following is a point on the y-axis?
(i)
(
0
,
6
)
(ii)
(
1
,
0
)
(iii)
(
8
,
(
−
8
)
)
(iv)
(
(
−
4
)
,
4
)
(v)
(
8
,
7
)
Question
8
8.
Which of the following lines do not pass through the origin?
(i)
(
−
7
x
+
6
y
)
=
0
(ii)
(
6
x
+
y
)
=
0
(iii)
(
−
x
+
5
y
+
29
)
=
0
(iv)
(
−
7
x
−
2
y
)
=
0
(v)
(
7
x
−
4
y
)
=
0
Question
9
9.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
y
=
k
(ii)
x
=
0
(iii)
y
=
0
(iv)
x
=
y
(v)
x
=
k
Question
10
10.
Determine the coordinates of point X in the diagram.
(i)
(
1
,
(
−
8
)
)
(ii)
(
8
,
1
)
(iii)
(
(
−
8
)
,
1
)
(iv)
(
8
,
(
−
1
)
)
(v)
(
(
−
8
)
,
(
−
1
)
)
Question
11
11.
The y-coordinate of a point is also called as
(i)
x-axis
(ii)
origin
(iii)
abscissa
(iv)
ordinate
(v)
y-axis
Question
12
12.
Find the set of points satisfying the equation
(
27
x
+
25
y
−
15
)
=
0
(i)
(
(
−
2
)
,
69
25
)
,
(
(
−
1
)
,
42
25
)
,
(
0
,
3
5
)
,
(
0
,
13
25
)
,
(
2
,
(
−
39
25
)
)
(ii)
(
(
−
2
)
,
69
25
)
,
(
(
−
1
)
,
42
25
)
,
(
1
,
(
−
2
5
)
)
,
(
1
,
(
−
12
25
)
)
,
(
2
,
(
−
39
25
)
)
(iii)
(
(
−
2
)
,
69
25
)
,
(
(
−
1
)
,
42
25
)
,
(
0
,
3
5
)
,
(
1
,
(
−
12
25
)
)
,
(
4
,
11
25
)
(iv)
(
(
−
2
)
,
69
25
)
,
(
(
−
1
)
,
42
25
)
,
(
0
,
3
5
)
,
(
1
,
(
−
12
25
)
)
,
(
2
,
(
−
39
25
)
)
(v)
(
(
−
2
)
,
69
25
)
,
(
(
−
1
)
,
42
25
)
,
(
(
−
2
)
,
(
−
7
5
)
)
,
(
1
,
(
−
12
25
)
)
,
(
2
,
(
−
39
25
)
)
Question
13
13.
Which of the following equations satisfy the given points
(
0
,
(
−
2
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
0
)
,
(
0
,
1
)
,
(
0
,
2
)
?
(i)
x
=
0
(ii)
y
=
(
−
8
)
(iii)
y
=
(
−
1
2
x
−
8
)
(iv)
(
−
5
x
−
10
y
+
30
)
=
0
(v)
(
4
x
+
9
y
−
3
)
=
0
Question
14
14.
Any line parallel to y-axis is
(i)
an oblique line
(ii)
a vertical line
(iii)
a curved line
(iv)
a horizontal line
Question
15
15.
The point
(
1
,
(
−
4
)
)
lies in
(i)
fourth quadrant
(ii)
second quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
16
16.
A point lies on negative 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
17
17.
Which of the following is a point on the x-axis?
(i)
(
9
,
(
−
8
)
)
(ii)
(
9
,
0
)
(iii)
(
8
,
8
)
(iv)
(
(
−
8
)
,
3
)
(v)
(
0
,
9
)
Question
18
18.
In a coordinate geometry plane, the horizontal reference line is called
(i)
origin
(ii)
ordinate
(iii)
abscissa
(iv)
x-axis
(v)
y-axis
Question
19
19.
If point P(x,y) lies in the second quadrant, then
(i)
x is negative and y is positive
(ii)
x is positive and y is positive
(iii)
x is positive and y is negative
(iv)
x is negative and y is negative
Question
20
20.
The point
(
(
−
9
)
,
9
)
lies in
(i)
second quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
fourth quadrant
Question
21
21.
Which of the points (6,1), (-6,7), (-7,-4) and (2,-7) belong to the first quadrant?
(i)
(
2
,
(
−
7
)
)
(ii)
(
(
−
6
)
,
7
)
(iii)
(
6
,
1
)
(iv)
(
(
−
7
)
,
(
−
4
)
)
Question
22
22.
Which of the displayed lines represent the equation
y
=
(
−
5
)
(i)
line with point
U
(ii)
line with point
V
(iii)
line with point
W
(iv)
line with point
S
(v)
line with point
T
Question
23
23.
Find the set of points satisfying the equation
x
=
7
(i)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
7
,
0
)
,
(
7
,
1
)
,
(
7
,
2
)
(ii)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
7
,
0
)
,
(
6
,
2
)
,
(
7
,
2
)
(iii)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
8
,
(
−
1
)
)
,
(
7
,
1
)
,
(
7
,
2
)
(iv)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
5
,
(
−
2
)
)
,
(
7
,
1
)
,
(
7
,
2
)
(v)
(
7
,
(
−
2
)
)
,
(
7
,
(
−
1
)
)
,
(
7
,
0
)
,
(
7
,
1
)
,
(
9
,
4
)
Question
24
24.
Distance of the point (2,6) from y-axis is
(i)
2
(ii)
4
(iii)
8
(iv)
6
(v)
(
−
4
)
Question
25
25.
The point of intersection of x-axis and y-axis
(i)
(
8
,
0
)
(ii)
(
1
,
0
)
(iii)
(
1
,
1
)
(iv)
(
0
,
1
)
(v)
(
0
,
0
)
Assignment Key
1) (iii)
2) (i)
3) (i)
4) (ii)
5) (ii)
6) (ii)
7) (i)
8) (iii)
9) (v)
10) (iii)
11) (iv)
12) (iv)
13) (i)
14) (ii)
15) (i)
16) (iii)
17) (ii)
18) (iv)
19) (i)
20) (i)
21) (iii)
22) (iv)
23) (i)
24) (i)
25) (v)
