EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Co-Ordinate Geometry
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the points (9,2), (-5,4), (-8,-7) and (7,-4) belong to the second quadrant?
(i)
(
9
,
2
)
(ii)
(
(
−
8
)
,
(
−
7
)
)
(iii)
(
7
,
(
−
4
)
)
(iv)
(
(
−
5
)
,
4
)
Question
2
2.
Determine the coordinates of point H in the diagram.
(i)
(
(
−
6
)
,
(
−
5
)
)
(ii)
(
5
,
(
−
6
)
)
(iii)
(
5
,
6
)
(iv)
(
(
−
5
)
,
(
−
6
)
)
(v)
(
(
−
5
)
,
6
)
Question
3
3.
Which of the following is a point on the positive y-axis?
(i)
(
(
−
8
)
,
0
)
(ii)
(
(
−
1
)
,
5
)
(iii)
(
2
,
0
)
(iv)
(
0
,
8
)
(v)
(
0
,
(
−
3
)
)
Question
4
4.
The point of intersection of x-axis and y-axis
(i)
(
0
,
5
)
(ii)
(
1
,
1
)
(iii)
(
1
,
0
)
(iv)
(
0
,
0
)
Question
5
5.
The point
(
(
−
6
)
,
1
)
lies in
(i)
third quadrant
(ii)
first quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
6
6.
Which of the following is a point on the negative y-axis?
(i)
(
(
−
5
)
,
0
)
(ii)
(
(
−
9
)
,
2
)
(iii)
(
5
,
0
)
(iv)
(
0
,
(
−
2
)
)
(v)
(
0
,
5
)
Question
7
7.
The coordinates of a point which is 4 units away from x-axis and 1 unit away from y-axis in the second quadrant is
(i)
(
(
−
1
)
,
(
−
4
)
)
(ii)
(
4
,
(
−
1
)
)
(iii)
(
1
,
4
)
(iv)
(
1
,
(
−
4
)
)
(v)
(
(
−
1
)
,
4
)
Question
8
8.
Any line parallel to y-axis is
(i)
a horizontal line
(ii)
a curved line
(iii)
an oblique line
(iv)
a vertical line
Question
9
9.
A point lies on negative side of y-axis at a distance of 9 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
9
)
(ii)
(
0
,
(
−
9
)
)
(iii)
(
9
,
0
)
(iv)
(
(
−
9
)
,
0
)
Question
10
10.
Which of the points (1,4), (-1,8), (-8,-6) and (7,-4) belong to the third quadrant?
(i)
(
(
−
8
)
,
(
−
6
)
)
(ii)
(
7
,
(
−
4
)
)
(iii)
(
1
,
4
)
(iv)
(
(
−
1
)
,
8
)
Question
11
11.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
12
12.
If point P(x,y) lies in the fourth 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
13
13.
Which of the following are true?
a)
A horizontal line other than x-axis has no x-intercept
b)
A vertical line other than y-axis has no y-intercept
c)
A vertical line other than y-axis has no x-intercept
d)
A horizontal line other than x-axis has no y-intercept
(i)
{c,d,a}
(ii)
{c,b,a}
(iii)
{c,a}
(iv)
{a,b}
(v)
{d,b}
Question
14
14.
Distance of the given point from y-axis is
(i)
28
(ii)
11
(iii)
4
(iv)
-3
(v)
7
Question
15
15.
Identify the point belonging to the fourth quadrant
(i)
(
4
,
(
−
6
)
)
(ii)
(
3
,
1
)
(iii)
(
(
−
6
)
,
(
−
1
)
)
(iv)
(
(
−
1
)
,
8
)
Question
16
16.
The coordinates of a point which is 6 units away from x-axis and 8 units away from y-axis in the fourth quadrant is
(i)
(
(
−
8
)
,
6
)
(ii)
(
(
−
6
)
,
8
)
(iii)
(
8
,
(
−
6
)
)
(iv)
(
(
−
8
)
,
(
−
6
)
)
(v)
(
8
,
6
)
Question
17
17.
Identify the point belonging to the first quadrant
(i)
(
8
,
6
)
(ii)
(
(
−
4
)
,
6
)
(iii)
(
(
−
5
)
,
(
−
5
)
)
(iv)
(
5
,
(
−
5
)
)
Question
18
18.
The points
(
(
−
2
)
,
(
−
4
)
)
,
(
5
,
(
−
4
)
)
,
(
5
,
0
)
and
(
(
−
2
)
,
0
)
represents
(i)
rhombus
(ii)
trapezium
(iii)
square
(iv)
parallelogram
(v)
rectangle
Question
19
19.
A point lies on negative side of x-axis at a distance of 8 units from y-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
8
)
)
(ii)
(
0
,
8
)
(iii)
(
(
−
8
)
,
0
)
(iv)
(
8
,
0
)
Question
20
20.
Which of the following are true?
a)
The ordinate of every point on x-axis is zero
b)
The ordinate of every point on y-axis is zero
c)
The abscissa of every point on y-axis is zero
d)
The abscissa of every point on x-axis is zero
(i)
{b,d,a}
(ii)
{b,c,a}
(iii)
{d,c}
(iv)
{a,c}
(v)
{b,a}
Question
21
21.
Which of the following is a point on the positive x-axis?
(i)
(
(
−
9
)
,
5
)
(ii)
(
0
,
(
−
2
)
)
(iii)
(
9
,
0
)
(iv)
(
(
−
6
)
,
0
)
(v)
(
0
,
9
)
Question
22
22.
Find the area of the triangle
formed by the points
(
5
,
1
)
,
(
0
,
7
)
and
(
2
,
(
−
4
)
)
(i)
22
(ii)
43
2
(iii)
45
2
(iv)
85
4
(v)
41
2
Question
23
23.
The points
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
2
)
,
2
)
,
(
2
,
(
−
1
)
)
and
(
(
−
1
)
,
(
−
5
)
)
represent
(i)
rhombus
(ii)
trapezium
(iii)
parallelogram
(iv)
rectangle
(v)
square
Question
24
24.
The coordinates of a point which is 4 units away from x-axis and 2 units away from y-axis in the third quadrant is
(i)
(
2
,
4
)
(ii)
(
(
−
2
)
,
4
)
(iii)
(
2
,
(
−
4
)
)
(iv)
(
(
−
2
)
,
(
−
4
)
)
(v)
(
(
−
4
)
,
(
−
2
)
)
Question
25
25.
The point
(
(
−
1
)
,
(
−
4
)
)
lies in
(i)
third quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
fourth quadrant
Assignment Key
1) (iv)
2) (iv)
3) (iv)
4) (iv)
5) (iv)
6) (iv)
7) (v)
8) (iv)
9) (ii)
10) (i)
11) (iii)
12) (ii)
13) (iv)
14) (iii)
15) (i)
16) (iii)
17) (i)
18) (v)
19) (iii)
20) (iv)
21) (iii)
22) (ii)
23) (v)
24) (iv)
25) (i)
