EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Which of the following is a point on the negative x-axis?
(i)
(
(
−
8
)
,
0
)
(ii)
(
0
,
(
−
9
)
)
(iii)
(
0
,
6
)
(iv)
(
(
−
6
)
,
5
)
(v)
(
1
,
0
)
Question
2
2.
The points
(
(
−
3
)
,
(
−
4
)
)
,
(
5
,
(
−
4
)
)
and
(
5
,
1
)
represent
(i)
isosceles right angled triangle
(ii)
collinear points
(iii)
scalene triangle
(iv)
equilateral triangle
(v)
right angle triangle
Question
3
3.
Find the point that divides the join of points
(
6
,
(
−
6
)
)
and
(
8
,
(
−
7
)
)
internally
in the ratio
4
:
9
(i)
(
86
13
,
(
−
82
13
)
)
(ii)
(
73
13
,
(
−
69
13
)
)
(iii)
(
99
13
,
(
−
95
13
)
)
(iv)
(
112
13
,
(
−
56
13
)
)
(v)
(
60
13
,
(
−
108
13
)
)
Question
4
4.
Find the lengths of the medians of a triangle whose vertices are
(
2
,
(
−
6
)
)
,
(
4
,
3
)
and
(
0
,
(
−
2
)
)
(i)
13
2
,
√
58
,
1
2
√
37
(ii)
1
2
√
41
,
√
5
,
1
2
√
85
(iii)
1
2
√
85
,
1
2
√
41
,
1
2
√
41
Question
5
5.
The x-coordinate of a point is also called as
(i)
y-axis
(ii)
abscissa
(iii)
origin
(iv)
x-axis
(v)
ordinate
Question
6
6.
Find the set of points satisfying the equation
y
=
(
−
12
5
x
)
(i)
(
(
−
2
)
,
24
5
)
,
(
(
−
1
)
,
12
5
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
12
5
)
)
,
(
2
,
(
−
24
5
)
)
(ii)
(
(
−
2
)
,
24
5
)
,
(
(
−
1
)
,
12
5
)
,
(
0
,
0
)
,
(
1
,
(
−
12
5
)
)
,
(
2
,
(
−
24
5
)
)
(iii)
(
(
−
2
)
,
24
5
)
,
(
(
−
1
)
,
12
5
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
12
5
)
)
,
(
2
,
(
−
24
5
)
)
(iv)
(
(
−
2
)
,
24
5
)
,
(
(
−
1
)
,
12
5
)
,
(
0
,
0
)
,
(
0
,
(
−
7
5
)
)
,
(
2
,
(
−
24
5
)
)
(v)
(
(
−
2
)
,
24
5
)
,
(
(
−
1
)
,
12
5
)
,
(
0
,
0
)
,
(
1
,
(
−
12
5
)
)
,
(
4
,
(
−
14
5
)
)
Question
7
7.
Which of the following is a point on the positive y-axis?
(i)
(
(
−
9
)
,
1
)
(ii)
(
0
,
(
−
4
)
)
(iii)
(
(
−
8
)
,
0
)
(iv)
(
0
,
5
)
(v)
(
6
,
0
)
Question
8
8.
A is a point on x-axis with abscissa
(-5)
and B is a point on y-axis
with ordinate
(-8)
.
Find the distance between A and B
(i)
89
(ii)
4
√
89
(iii)
√
89
(iv)
√
87
(v)
√
92
Question
9
9.
Which of the following sets of points are collinear?
(i)
(
3
,
8
)
,
(
(
−
6
)
,
(
−
2
)
)
,
(
8
,
(
−
6
)
)
(ii)
(
5
,
6
)
,
(
(
−
5
)
,
3
)
,
(
0
,
(
−
1
)
)
(iii)
(
3
,
6
)
,
(
(
−
8
)
,
(
−
2
)
)
,
(
2
,
3
)
(iv)
(
(
−
5
)
,
3
)
,
(
(
−
5
)
,
5
)
,
(
(
−
5
)
,
4
)
(v)
(
2
,
(
−
2
)
)
,
(
7
,
(
−
7
)
)
,
(
4
,
(
−
8
)
)
Question
10
10.
Find the set of points satisfying the equation
y
=
(
13
4
x
+
25
2
)
(i)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
37
4
)
,
(
0
,
25
2
)
,
(
1
,
63
4
)
,
(
4
,
21
)
(ii)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
37
4
)
,
(
0
,
25
2
)
,
(
1
,
63
4
)
,
(
2
,
19
)
(iii)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
37
4
)
,
(
(
−
2
)
,
21
2
)
,
(
1
,
63
4
)
,
(
2
,
19
)
(iv)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
37
4
)
,
(
0
,
25
2
)
,
(
0
,
67
4
)
,
(
2
,
19
)
(v)
(
(
−
2
)
,
6
)
,
(
(
−
1
)
,
37
4
)
,
(
1
,
23
2
)
,
(
1
,
63
4
)
,
(
2
,
19
)
Question
11
11.
Find the lengths of the sides of the triangle formed by the points
(
7
,
8
)
,
(
(
−
1
)
,
0
)
and
(
(
−
7
)
,
4
)
(i)
8
√
2
,
2
√
13
,
2
√
53
(ii)
8
√
2
,
2
√
13
,
2
√
55
(iii)
8
√
2
,
26
,
2
√
53
(iv)
8
4
√
2
,
2
√
13
,
2
√
53
Question
12
12.
The centroid of the triangle formed by the points
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
and
(
x
3
,
y
3
)
is
(i)
(
x
1
+
x
2
+
x
3
3
,
y
1
+
y
2
+
y
3
3
)
(ii)
(
x
1
−
x
2
−
x
3
3
,
y
1
−
y
2
−
y
3
3
)
(iii)
(
x
1
−
x
2
−
x
3
2
,
y
1
−
y
2
−
y
3
2
)
(iv)
(
y
1
+
y
2
+
y
3
2
,
x
1
+
x
2
+
x
3
2
)
(v)
(
y
1
−
y
2
−
y
3
2
,
x
1
−
x
2
−
x
3
2
)
Question
13
13.
Which of the displayed lines represent the equation
y
=
7
(i)
line with point
M
(ii)
line with point
P
(iii)
line with point
O
(iv)
line with point
N
(v)
line with point
Q
Question
14
14.
Find the set of points satisfying the equation
(
−
13
x
+
8
y
+
22
)
=
0
(i)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
35
8
)
)
,
(
0
,
(
−
11
4
)
)
,
(
0
,
(
−
1
8
)
)
,
(
2
,
1
2
)
(ii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
35
8
)
)
,
(
0
,
(
−
11
4
)
)
,
(
1
,
(
−
9
8
)
)
,
(
4
,
5
2
)
(iii)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
35
8
)
)
,
(
1
,
(
−
15
4
)
)
,
(
1
,
(
−
9
8
)
)
,
(
2
,
1
2
)
(iv)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
35
8
)
)
,
(
0
,
(
−
11
4
)
)
,
(
1
,
(
−
9
8
)
)
,
(
2
,
1
2
)
(v)
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
1
)
,
(
−
35
8
)
)
,
(
(
−
2
)
,
(
−
19
4
)
)
,
(
1
,
(
−
9
8
)
)
,
(
2
,
1
2
)
Question
15
15.
The slope of a line is the tangent of the angle made by the line with the
(i)
negative x-axis
(ii)
negative y-axis
(iii)
positive y-axis
(iv)
positive x-axis
Question
16
16.
The points
(
(
−
3
)
,
(
−
6
)
)
,
(
0
,
(
−
3
)
)
and
(
3
,
(
−
6
)
)
represent
(i)
isosceles right angled triangle
(ii)
equilateral triangle
(iii)
right angle triangle
(iv)
collinear points
(v)
scalene triangle
Question
17
17.
A and B are two points on the x-axis and y-axis respectively.
If
(
(
−
8
)
,
4
)
is the mid-point of the join of A and B, find A and B
(i)
(
(
−
18
)
,
(
−
2
)
)
,
(
0
,
8
)
(ii)
(
(
−
15
)
,
(
−
1
)
)
,
(
0
,
8
)
(iii)
(
(
−
16
)
,
0
)
,
(
0
,
8
)
(iv)
(
(
−
14
)
,
2
)
,
(
0
,
8
)
(v)
(
(
−
16
)
,
0
)
,
(
(
−
1
)
,
9
)
Question
18
18.
Find the points on x-axis,
which are at a distance of
12
units
from the point
(
(
−
4
)
,
7
)
(i)
(
(
−
4
+
√
95
)
,
0
)
,
(
(
−
5
−
√
95
)
,
1
)
(ii)
(
(
−
3
+
√
95
)
,
(
−
1
)
)
,
(
(
−
4
−
√
95
)
,
0
)
(iii)
(
(
−
6
+
√
95
)
,
(
−
2
)
)
,
(
(
−
4
−
√
95
)
,
0
)
(iv)
(
(
−
2
+
√
95
)
,
2
)
,
(
(
−
4
−
√
95
)
,
0
)
(v)
(
(
−
4
+
√
95
)
,
0
)
,
(
(
−
4
−
√
95
)
,
0
)
Question
19
19.
A point lies on negative side of x-axis at a distance of 2 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
2
)
,
0
)
(ii)
(
0
,
2
)
(iii)
(
0
,
(
−
2
)
)
(iv)
(
2
,
0
)
Question
20
20.
Which of the points (8,2), (-8,9), (-6,-4) and (8,-5) belong to the first quadrant?
(i)
(
(
−
8
)
,
9
)
(ii)
(
8
,
(
−
5
)
)
(iii)
(
(
−
6
)
,
(
−
4
)
)
(iv)
(
8
,
2
)
Question
21
21.
A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 26 cm, 24 cm and 24 cm, and the parallelogram stands on the base 24 cm, find the height of the parallelogram
(i)
13.93 cm
(ii)
7.93 cm
(iii)
5.93 cm
(iv)
10.93 cm
(v)
15.93 cm
Question
22
22.
If point P(x,y) lies in the third 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
23
23.
The mid-point of the join of the points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
is
(i)
(
x
1
−
x
2
2
,
y
1
−
y
2
2
)
(ii)
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
(iii)
(
x
1
+
x
2
3
,
y
1
+
y
2
3
)
(iv)
(
x
1
−
x
2
3
,
y
1
−
y
2
3
)
(v)
(
y
1
−
y
2
2
,
x
1
−
x
2
2
)
Question
24
24.
The point
(
(
−
2
)
,
5
)
lies in
(i)
first quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
third quadrant
Question
25
25.
Which of the following equations satisfy the given points
(
(
−
4
)
,
(
−
2
)
)
,
(
(
−
4
)
,
(
−
1
)
)
,
(
(
−
4
)
,
0
)
,
(
(
−
4
)
,
1
)
,
(
(
−
4
)
,
2
)
?
(i)
y
=
(
−
9
11
x
−
3
11
)
(ii)
x
=
(
9
11
y
−
71
11
)
(iii)
x
=
(
−
4
)
(iv)
(
−
9
x
−
11
y
−
14
)
=
0
(v)
(
6
x
+
25
y
−
5
)
=
0
Assignment Key
1) (i)
2) (v)
3) (i)
4) (i)
5) (ii)
6) (ii)
7) (iv)
8) (iii)
9) (iv)
10) (ii)
11) (i)
12) (i)
13) (i)
14) (iv)
15) (iv)
16) (i)
17) (iii)
18) (v)
19) (i)
20) (iv)
21) (iv)
22) (iv)
23) (ii)
24) (iii)
25) (iii)
