EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following is a point on the positive x-axis?
(i)
(
3
,
0
)
(ii)
(
(
−
8
)
,
0
)
(iii)
(
0
,
5
)
(iv)
(
0
,
(
−
9
)
)
(v)
(
(
−
5
)
,
7
)
Question
2
2.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
y
=
m
x
+
c
(ii)
y
=
m
x
(iii)
x
=
m
y
+
c
(iv)
y
=
0
(v)
x
=
0
Question
3
3.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
2
)
(ii)
(
0
,
(
−
4
)
)
(iii)
(
(
−
9
)
,
0
)
(iv)
(
(
−
3
)
,
9
)
(v)
(
5
,
0
)
Question
4
4.
The coordinates of a point which is 1 unit away from x-axis and 5 units away from y-axis in the third quadrant is
(i)
(
5
,
1
)
(ii)
(
(
−
5
)
,
(
−
1
)
)
(iii)
(
(
−
1
)
,
(
−
5
)
)
(iv)
(
5
,
(
−
1
)
)
(v)
(
(
−
5
)
,
1
)
Question
5
5.
Any line parallel to y-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
an oblique line
(iv)
a horizontal line
Question
6
6.
The coordinates of a point which is 8 units away from x-axis and 4 units away from y-axis in the fourth quadrant is
(i)
(
(
−
8
)
,
4
)
(ii)
(
4
,
(
−
8
)
)
(iii)
(
(
−
4
)
,
8
)
(iv)
(
(
−
4
)
,
(
−
8
)
)
(v)
(
4
,
8
)
Question
7
7.
Which of the points (9,4), (-9,9), (-1,-6) and (5,-8) belong to the first quadrant?
(i)
(
(
−
1
)
,
(
−
6
)
)
(ii)
(
(
−
9
)
,
9
)
(iii)
(
9
,
4
)
(iv)
(
5
,
(
−
8
)
)
Question
8
8.
Which of the points (1,5), (-4,4), (-1,-5) and (4,-5) belong to the third quadrant?
(i)
(
(
−
4
)
,
4
)
(ii)
(
4
,
(
−
5
)
)
(iii)
(
(
−
1
)
,
(
−
5
)
)
(iv)
(
1
,
5
)
Question
9
9.
Which of the displayed lines represent the equation
y
=
(
−
2
3
x
)
(i)
line with point
U
(ii)
line with point
W
(iii)
line with point
T
(iv)
line with point
X
(v)
line with point
V
Question
10
10.
If point P(x,y) lies in the second quadrant, then
(i)
x is negative and y is negative
(ii)
x is positive and y is negative
(iii)
x is negative and y is positive
(iv)
x is positive and y is positive
Question
11
11.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
third quadrant
(iii)
second quadrant
(iv)
fourth quadrant
Question
12
12.
Find the set of points satisfying the equation
y
=
(
−
7
)
(i)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
4
,
(
−
5
)
)
(ii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
1
,
(
−
8
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(iii)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(iv)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
(
−
2
)
,
(
−
9
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
7
)
)
(v)
(
(
−
2
)
,
(
−
7
)
)
,
(
(
−
1
)
,
(
−
7
)
)
,
(
0
,
(
−
7
)
)
,
(
0
,
(
−
6
)
)
,
(
2
,
(
−
7
)
)
Question
13
13.
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)
{d,e,a}
(iv)
{c,a}
Question
14
14.
If point P(x,y) lies in the fourth quadrant, then
(i)
x is negative and y is positive
(ii)
x is negative and y is negative
(iii)
x is positive and y is negative
(iv)
x is positive and y is positive
Question
15
15.
The equation of the line with slope
m
≠
0 and y-intercept
c
≠
0 is
(i)
y
=
0
(ii)
y
=
m
x
(iii)
y
=
m
x
+
c
(iv)
x
=
0
(v)
x
=
m
y
+
c
Question
16
16.
In a coordinate geometry plane, the vertical reference line is called
(i)
ordinate
(ii)
x-axis
(iii)
origin
(iv)
abscissa
(v)
y-axis
Question
17
17.
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)
{b,d}
(iii)
{a,c}
(iv)
{a,b,c}
(v)
{a,d,c}
Question
18
18.
Determine the quadrant of the displayed point
(i)
second quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
first quadrant
Question
19
19.
The equation of x-axis is
(i)
y
=
x
(ii)
x
=
1
(iii)
y
=
1
(iv)
x
=
0
(v)
y
=
0
Question
20
20.
Which of the following lines pass through the origin?
(i)
(
6
x
−
y
−
38
)
=
0
(ii)
(
4
x
−
7
y
)
=
0
(iii)
(
4
x
−
11
y
−
46
)
=
0
(iv)
(
3
x
+
11
y
−
65
)
=
0
(v)
(
−
13
x
+
y
−
59
)
=
0
Question
21
21.
Which of the displayed lines represent the equation
(
5
x
−
3
y
−
10
)
=
0
?
(i)
line with point
P
(ii)
line with point
N
(iii)
line with point
M
(iv)
line with point
O
(v)
line with point
Q
Question
22
22.
Identify the point belonging to the second quadrant
(i)
(
(
−
9
)
,
(
−
6
)
)
(ii)
(
8
,
(
−
7
)
)
(iii)
(
(
−
9
)
,
3
)
(iv)
(
6
,
8
)
Question
23
23.
The point
(
(
−
4
)
,
(
−
3
)
)
lies in
(i)
third quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
first quadrant
Question
24
24.
Which of the following are true?
a)
Equation of the line passing through origin is y = mx +
3
b)
Equation of the line passing through origin is
y
=
m
x
c)
Equation of the line passing through origin is y = x
d)
Equation of the line passing through origin is
y
=
m
x
+
c
(i)
{a,d,b}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{b,c}
(v)
{a,c,b}
Question
25
25.
Which of the following lines do not pass through the origin?
(i)
(
x
+
7
y
+
25
)
=
0
(ii)
(
5
x
+
2
y
)
=
0
(iii)
(
−
3
x
+
4
y
)
=
0
(iv)
(
4
x
−
5
y
)
=
0
(v)
(
−
5
x
−
y
)
=
0
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (ii)
5) (ii)
6) (ii)
7) (iii)
8) (iii)
9) (iii)
10) (iii)
11) (iii)
12) (iii)
13) (ii)
14) (iii)
15) (iii)
16) (v)
17) (i)
18) (iii)
19) (v)
20) (ii)
21) (iii)
22) (iii)
23) (i)
24) (iv)
25) (i)
