EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-ordinate Geometry
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Find the set of points satisfying the equation
x
=
(
−
4
5
y
+
23
5
)
(i)
(
(
−
2
)
,
33
4
)
,
(
(
−
1
)
,
7
)
,
(
1
,
19
4
)
,
(
1
,
9
2
)
,
(
2
,
13
4
)
(ii)
(
(
−
2
)
,
33
4
)
,
(
(
−
1
)
,
7
)
,
(
0
,
23
4
)
,
(
1
,
9
2
)
,
(
2
,
13
4
)
(iii)
(
(
−
2
)
,
33
4
)
,
(
(
−
1
)
,
7
)
,
(
(
−
2
)
,
15
4
)
,
(
1
,
9
2
)
,
(
2
,
13
4
)
(iv)
(
(
−
2
)
,
33
4
)
,
(
(
−
1
)
,
7
)
,
(
0
,
23
4
)
,
(
0
,
11
2
)
,
(
2
,
13
4
)
(v)
(
(
−
2
)
,
33
4
)
,
(
(
−
1
)
,
7
)
,
(
0
,
23
4
)
,
(
1
,
9
2
)
,
(
4
,
21
4
)
Question
2
2.
The equation of the line passing through
the origin and
having a slope
m
≠
0 is
(i)
x
=
0
(ii)
y
=
0
(iii)
y
=
m
x
(iv)
y
=
m
x
+
c
(v)
x
=
m
y
+
c
Question
3
3.
The point of intersection of x-axis and y-axis
(i)
(
6
,
0
)
(ii)
(
1
,
1
)
(iii)
(
0
,
8
)
(iv)
(
0
,
0
)
(v)
(
1
,
0
)
Question
4
4.
Find the set of points satisfying the equation
y
=
4
x
(i)
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
0
)
,
(
1
,
4
)
,
(
4
,
10
)
(ii)
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
4
)
,
(
2
,
8
)
(iii)
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
0
)
,
(
0
,
5
)
,
(
2
,
8
)
(iv)
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
0
,
0
)
,
(
1
,
4
)
,
(
2
,
8
)
(v)
(
(
−
2
)
,
(
−
8
)
)
,
(
(
−
1
)
,
(
−
4
)
)
,
(
1
,
(
−
1
)
)
,
(
1
,
4
)
,
(
2
,
8
)
Question
5
5.
The coordinates of a point which is 7 units away from x-axis and 4 units away from y-axis in the first quadrant is
(i)
(
(
−
4
)
,
(
−
7
)
)
(ii)
(
7
,
4
)
(iii)
(
4
,
(
−
7
)
)
(iv)
(
(
−
4
)
,
7
)
(v)
(
4
,
7
)
Question
6
6.
Distance of the given point from y-axis is
(i)
5
(ii)
0
Question
7
7.
Find the equation of the displayed line
(i)
y
=
(
−
3
)
(ii)
y
=
(
−
5
)
(iii)
3
y
=
(
−
4
)
(iv)
x
=
(
−
4
)
(v)
y
=
(
−
4
)
Question
8
8.
The equation of the x-axis is
a)
x
=
1
b)
y
=
0
c)
x
=
y
d)
x
=
0
e)
y
=
1
(i)
{b}
(ii)
{a,b}
(iii)
{d,e,b}
(iv)
{c,b}
Question
9
9.
The coordinates of a point which is 7 units away from x-axis and 1 unit away from y-axis in the second quadrant is
(i)
(
(
−
1
)
,
7
)
(ii)
(
(
−
1
)
,
(
−
7
)
)
(iii)
(
7
,
(
−
1
)
)
(iv)
(
1
,
(
−
7
)
)
(v)
(
1
,
7
)
Question
10
10.
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
11
11.
Determine the coordinates of point S in the diagram.
(i)
(
2
,
6
)
(ii)
(
6
,
(
−
2
)
)
(iii)
(
(
−
6
)
,
2
)
(iv)
(
(
−
6
)
,
(
−
2
)
)
(v)
(
6
,
2
)
Question
12
12.
Any line parallel to y-axis is
(i)
a vertical line
(ii)
an oblique line
(iii)
a horizontal line
(iv)
a curved line
Question
13
13.
Find the set of points satisfying the equation
x
=
(
−
3
)
(i)
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
3
)
,
1
)
,
(
(
−
3
)
,
2
)
(ii)
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
3
)
,
0
)
,
(
(
−
4
)
,
2
)
,
(
(
−
3
)
,
2
)
(iii)
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
2
)
,
(
−
1
)
)
,
(
(
−
3
)
,
1
)
,
(
(
−
3
)
,
2
)
(iv)
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
3
)
,
0
)
,
(
(
−
3
)
,
1
)
,
(
(
−
3
)
,
2
)
(v)
(
(
−
3
)
,
(
−
2
)
)
,
(
(
−
3
)
,
(
−
1
)
)
,
(
(
−
3
)
,
0
)
,
(
(
−
3
)
,
1
)
,
(
(
−
1
)
,
4
)
Question
14
14.
Which of the points (1,7), (-4,9), (-9,-3) and (4,-2) belong to the second quadrant?
(i)
(
1
,
7
)
(ii)
(
(
−
9
)
,
(
−
3
)
)
(iii)
(
4
,
(
−
2
)
)
(iv)
(
(
−
4
)
,
9
)
Question
15
15.
The point
(
(
−
2
)
,
(
−
3
)
)
lies in
(i)
second quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
third quadrant
Question
16
16.
Find the set of points satisfying the equation
(
15
x
+
14
y
−
6
)
=
0
(i)
(
(
−
2
)
,
18
7
)
,
(
(
−
1
)
,
3
2
)
,
(
(
−
2
)
,
(
−
11
7
)
)
,
(
1
,
(
−
9
14
)
)
,
(
2
,
(
−
12
7
)
)
(ii)
(
(
−
2
)
,
18
7
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
3
7
)
,
(
1
,
(
−
9
14
)
)
,
(
2
,
(
−
12
7
)
)
(iii)
(
(
−
2
)
,
18
7
)
,
(
(
−
1
)
,
3
2
)
,
(
1
,
(
−
4
7
)
)
,
(
1
,
(
−
9
14
)
)
,
(
2
,
(
−
12
7
)
)
(iv)
(
(
−
2
)
,
18
7
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
3
7
)
,
(
1
,
(
−
9
14
)
)
,
(
4
,
2
7
)
(v)
(
(
−
2
)
,
18
7
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
3
7
)
,
(
0
,
5
14
)
,
(
2
,
(
−
12
7
)
)
Question
17
17.
Which of the following lines do not pass through the origin?
(i)
(
3
x
+
13
y
+
80
)
=
0
(ii)
(
6
x
+
5
y
)
=
0
(iii)
(
−
5
x
+
5
y
)
=
0
(iv)
(
−
x
−
4
y
)
=
0
(v)
(
3
x
−
8
y
)
=
0
Question
18
18.
Which of the following are true?
a)
Equation of the line passing through origin is
y
=
m
x
b)
Equation of the line passing through origin is y = mx +
8
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)
{b,a}
(ii)
{b,c,a}
(iii)
{b,d,a}
(iv)
{d,c}
(v)
{a,c}
Question
19
19.
Find the equation of the displayed line
(i)
x
=
(
−
3
)
(ii)
x
=
(
−
4
)
(iii)
x
=
(
−
2
)
(iv)
4
x
=
(
−
3
)
(v)
y
=
(
−
3
)
Question
20
20.
A point lies on positive side of x-axis at a distance of 4 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
4
)
,
0
)
(ii)
(
0
,
4
)
(iii)
(
4
,
0
)
(iv)
(
0
,
(
−
4
)
)
Question
21
21.
The point
(
4
,
(
−
7
)
)
lies in
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
22
22.
Which of the following equations satisfy the given points
(
(
−
2
)
,
1
15
)
,
(
(
−
1
)
,
(
−
2
3
)
)
,
(
0
,
(
−
7
5
)
)
,
(
1
,
(
−
32
15
)
)
,
(
2
,
(
−
43
15
)
)
?
(i)
x
=
9
(ii)
(
−
11
x
−
15
y
−
39
)
=
0
(iii)
y
=
(
−
11
15
x
−
7
5
)
(iv)
x
=
(
11
15
y
+
223
15
)
(v)
y
=
(
−
8
)
Question
23
23.
The coordinates of a point which is 7 units away from x-axis and 4 units away from y-axis in the fourth quadrant is
(i)
(
(
−
4
)
,
(
−
7
)
)
(ii)
(
4
,
7
)
(iii)
(
4
,
(
−
7
)
)
(iv)
(
(
−
7
)
,
4
)
(v)
(
(
−
4
)
,
7
)
Question
24
24.
The y-coordinate of a point is also called as
(i)
abscissa
(ii)
ordinate
(iii)
origin
(iv)
y-axis
(v)
x-axis
Question
25
25.
Find the equation of the line passing through the points
(
(
−
4
)
,
(
−
4
)
)
and
(
0
,
(
−
5
)
)
(i)
(
−
x
−
4
y
−
20
)
=
0
(ii)
(
x
+
4
y
+
16
)
=
0
(iii)
(
x
+
4
y
+
19
)
=
0
(iv)
(
−
4
y
−
20
)
=
0
(v)
(
−
2
x
−
4
y
−
20
)
=
0
Assignment Key
1) (ii)
2) (iii)
3) (iv)
4) (iv)
5) (v)
6) (i)
7) (v)
8) (i)
9) (i)
10) (iii)
11) (v)
12) (i)
13) (iv)
14) (iv)
15) (iv)
16) (ii)
17) (i)
18) (v)
19) (i)
20) (iii)
21) (ii)
22) (iii)
23) (iii)
24) (ii)
25) (i)
