EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Distance of the given point from y-axis is
(i)
8
(ii)
7
(iii)
15
(iv)
1
(v)
56
Question
2
2.
Which of the following is a point on the negative x-axis?
(i)
(
(
−
5
)
,
9
)
(ii)
(
(
−
4
)
,
0
)
(iii)
(
1
,
0
)
(iv)
(
0
,
3
)
(v)
(
0
,
(
−
7
)
)
Question
3
3.
The y-coordinate of a point is also called as
(i)
ordinate
(ii)
y-axis
(iii)
abscissa
(iv)
origin
(v)
x-axis
Question
4
4.
A point lies on positive side of y-axis at a distance of 2 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
2
)
)
(ii)
(
0
,
2
)
(iii)
(
(
−
2
)
,
0
)
(iv)
(
2
,
0
)
Question
5
5.
The point
(
(
−
5
)
,
6
)
lies in
(i)
fourth quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
6
6.
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 negative
(iii)
x is negative and y is negative
(iv)
x is positive and y is positive
Question
7
7.
Which of the points (9,3), (-7,9), (-5,-6) and (5,-8) belong to the second quadrant?
(i)
(
(
−
7
)
,
9
)
(ii)
(
5
,
(
−
8
)
)
(iii)
(
9
,
3
)
(iv)
(
(
−
5
)
,
(
−
6
)
)
Question
8
8.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
third quadrant
(iii)
first quadrant
(iv)
second quadrant
Question
9
9.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
10
10.
The point
(
(
−
8
)
,
(
−
6
)
)
lies in
(i)
first quadrant
(ii)
fourth quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
11
11.
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
=
m
x
c)
Equation of the line passing through origin is
y
=
m
x
+
c
d)
Equation of the line passing through origin is y = mx +
3
(i)
{c,d,a}
(ii)
{a,b}
(iii)
{d,b}
(iv)
{c,b,a}
(v)
{c,a}
Question
12
12.
The coordinates of a point which is 2 units away from x-axis and 6 units away from y-axis in the third quadrant is
(i)
(
6
,
(
−
2
)
)
(ii)
(
(
−
6
)
,
2
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
(iv)
(
6
,
2
)
(v)
(
(
−
6
)
,
(
−
2
)
)
Question
13
13.
Which of the points (6,3), (-4,9), (-2,-4) and (3,-7) belong to the third quadrant?
(i)
(
(
−
4
)
,
9
)
(ii)
(
3
,
(
−
7
)
)
(iii)
(
6
,
3
)
(iv)
(
(
−
2
)
,
(
−
4
)
)
Question
14
14.
Find the set of points satisfying the equation
y
=
(
−
1
)
(i)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
0
,
0
)
,
(
2
,
(
−
1
)
)
(ii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
4
,
1
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
1
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
0
,
(
−
1
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
(v)
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
3
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
1
)
)
Question
15
15.
Find the equation of the displayed line
(i)
y
=
(
−
3
)
(ii)
x
=
(
−
2
)
(iii)
x
=
(
−
3
)
(iv)
3
x
=
(
−
3
)
(v)
x
=
(
−
4
)
Question
16
16.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
(i)
x
=
0
(ii)
x
=
k
(iii)
y
=
0
(iv)
x
=
y
(v)
y
=
k
Question
17
17.
Which of the following is a point on the x-axis?
(i)
(
1
,
0
)
(ii)
(
9
,
7
)
(iii)
(
0
,
4
)
(iv)
(
1
,
(
−
3
)
)
(v)
(
(
−
9
)
,
5
)
Question
18
18.
Distance of the given point from x-axis is
(i)
0
(ii)
5
Question
19
19.
A point lies on negative side of y-axis at a distance of 7 units from x-axis. What are the coordinates of the point?
(i)
(
7
,
0
)
(ii)
(
0
,
(
−
7
)
)
(iii)
(
(
−
7
)
,
0
)
(iv)
(
0
,
7
)
Question
20
20.
Find the set of points satisfying the equation
(
7
x
+
14
y
−
2
)
=
0
(i)
(
(
−
2
)
,
8
7
)
,
(
(
−
1
)
,
9
14
)
,
(
0
,
1
7
)
,
(
0
,
9
14
)
,
(
2
,
(
−
6
7
)
)
(ii)
(
(
−
2
)
,
8
7
)
,
(
(
−
1
)
,
9
14
)
,
(
0
,
1
7
)
,
(
1
,
(
−
5
14
)
)
,
(
2
,
(
−
6
7
)
)
(iii)
(
(
−
2
)
,
8
7
)
,
(
(
−
1
)
,
9
14
)
,
(
(
−
2
)
,
(
−
13
7
)
)
,
(
1
,
(
−
5
14
)
)
,
(
2
,
(
−
6
7
)
)
(iv)
(
(
−
2
)
,
8
7
)
,
(
(
−
1
)
,
9
14
)
,
(
0
,
1
7
)
,
(
1
,
(
−
5
14
)
)
,
(
4
,
8
7
)
(v)
(
(
−
2
)
,
8
7
)
,
(
(
−
1
)
,
9
14
)
,
(
1
,
(
−
6
7
)
)
,
(
1
,
(
−
5
14
)
)
,
(
2
,
(
−
6
7
)
)
Question
21
21.
The point of intersection of x-axis and y-axis
(i)
(
0
,
6
)
(ii)
(
1
,
1
)
(iii)
(
1
,
0
)
(iv)
(
2
,
0
)
(v)
(
0
,
0
)
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
7
)
,
0
)
,
(
(
−
7
)
,
1
)
,
(
(
−
7
)
,
2
)
?
(i)
y
=
(
−
9
17
x
−
46
17
)
(ii)
x
=
(
9
17
y
−
128
17
)
(iii)
x
=
(
−
7
)
(iv)
y
=
1
(v)
(
−
9
x
−
17
y
+
13
)
=
0
Question
23
23.
Distance of the point (5,9) from x-axis is
(i)
9
(ii)
5
(iii)
14
(iv)
(
−
4
)
(v)
4
Question
24
24.
Identify the point belonging to the fourth quadrant
(i)
(
(
−
3
)
,
9
)
(ii)
(
(
−
2
)
,
(
−
9
)
)
(iii)
(
3
,
(
−
4
)
)
(iv)
(
3
,
1
)
Question
25
25.
Determine the quadrant of the displayed point
(i)
third quadrant
(ii)
first quadrant
(iii)
second quadrant
(iv)
fourth quadrant
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (ii)
5) (iv)
6) (iv)
7) (i)
8) (i)
9) (iv)
10) (iii)
11) (ii)
12) (v)
13) (iv)
14) (iv)
15) (iii)
16) (ii)
17) (i)
18) (ii)
19) (ii)
20) (ii)
21) (v)
22) (iii)
23) (i)
24) (iii)
25) (ii)
