EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Any line parallel to x-axis is
(i)
an oblique line
(ii)
a curved line
(iii)
a vertical line
(iv)
a horizontal line
Question
2
2.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
8
)
(ii)
(
(
−
8
)
,
4
)
(iii)
(
0
,
(
−
3
)
)
(iv)
(
(
−
3
)
,
0
)
(v)
(
1
,
0
)
Question
3
3.
The point
(
6
,
2
)
lies in
(i)
third quadrant
(ii)
second quadrant
(iii)
fourth quadrant
(iv)
first quadrant
Question
4
4.
Identify the point belonging to the second quadrant
(i)
(
2
,
4
)
(ii)
(
7
,
(
−
9
)
)
(iii)
(
(
−
8
)
,
(
−
3
)
)
(iv)
(
(
−
3
)
,
3
)
Question
5
5.
Which of the following equations satisfy the given points
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
?
(i)
x
=
(
y
+
13
)
(ii)
y
=
(
−
4
)
(iii)
x
=
9
(iv)
(
12
x
+
4
y
−
3
)
=
0
(v)
(
−
9
x
−
9
y
)
=
0
Question
6
6.
The slope of the line joining the points
(
0
,
2
)
and
(
(
−
7
)
,
2
)
is
(i)
-2
(ii)
3
(iii)
0
(iv)
1
(v)
-1
Question
7
7.
The points
(
(
−
3
)
,
(
−
3
)
)
,
(
3
,
(
−
7
)
)
,
(
9
,
(
−
3
)
)
and
(
3
,
1
)
represent
(i)
parallelogram
(ii)
trapezium
(iii)
square
(iv)
rectangle
(v)
rhombus
Question
8
8.
Find the lengths of the sides of the triangle formed by the points
(
(
−
6
)
,
2
)
,
(
8
,
(
−
4
)
)
and
(
7
,
(
−
8
)
)
(i)
2
4
√
58
,
√
17
,
√
269
(ii)
2
√
58
,
17
,
√
269
(iii)
2
√
58
,
√
17
,
√
269
(iv)
2
√
58
,
√
17
,
√
271
Question
9
9.
A line which is neither parallel to x-axis nor y-axis is
(i)
a curved line
(ii)
a vertical line
(iii)
a horizontal line
(iv)
an oblique line
Question
10
10.
Find the set of points satisfying the equation
y
=
(
−
7
x
)
(i)
(
(
−
2
)
,
14
)
,
(
(
−
1
)
,
7
)
,
(
1
,
(
−
1
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
14
)
)
(ii)
(
(
−
2
)
,
14
)
,
(
(
−
1
)
,
7
)
,
(
0
,
0
)
,
(
0
,
(
−
6
)
)
,
(
2
,
(
−
14
)
)
(iii)
(
(
−
2
)
,
14
)
,
(
(
−
1
)
,
7
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
14
)
)
(iv)
(
(
−
2
)
,
14
)
,
(
(
−
1
)
,
7
)
,
(
0
,
0
)
,
(
1
,
(
−
7
)
)
,
(
2
,
(
−
14
)
)
(v)
(
(
−
2
)
,
14
)
,
(
(
−
1
)
,
7
)
,
(
0
,
0
)
,
(
1
,
(
−
7
)
)
,
(
4
,
(
−
12
)
)
Question
11
11.
Find the coordinates of the mid points of the sides of the triangle formed by
(
2
,
3
)
,
(
4
,
(
−
8
)
)
and
(
(
−
2
)
,
(
−
7
)
)
(i)
(
3
,
(
−
5
2
)
)
,
(
3
,
(
−
11
2
)
)
,
(
0
,
(
−
2
)
)
(ii)
(
3
,
(
−
5
2
)
)
,
(
1
,
(
−
15
2
)
)
,
(
1
,
(
−
3
)
)
(iii)
(
3
,
(
−
5
2
)
)
,
(
1
,
(
−
15
2
)
)
,
(
(
−
2
)
,
(
−
4
)
)
(iv)
(
2
,
(
−
3
2
)
)
,
(
1
,
(
−
15
2
)
)
,
(
0
,
(
−
2
)
)
(v)
(
3
,
(
−
5
2
)
)
,
(
1
,
(
−
15
2
)
)
,
(
0
,
(
−
2
)
)
Question
12
12.
The point
(
(
−
4
)
,
(
−
2
)
)
lies in
(i)
fourth quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
13
13.
A point lies on negative side of x-axis at a distance of 7 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
7
)
,
0
)
(ii)
(
0
,
7
)
(iii)
(
7
,
0
)
(iv)
(
0
,
(
−
7
)
)
Question
14
14.
Find the set of points satisfying the equation
x
=
(
1
12
y
+
101
12
)
(i)
(
(
−
2
)
,
(
−
125
)
)
,
(
(
−
1
)
,
(
−
113
)
)
,
(
0
,
(
−
101
)
)
,
(
1
,
(
−
89
)
)
,
(
2
,
(
−
77
)
)
(ii)
(
(
−
2
)
,
(
−
125
)
)
,
(
(
−
1
)
,
(
−
113
)
)
,
(
(
−
2
)
,
(
−
103
)
)
,
(
1
,
(
−
89
)
)
,
(
2
,
(
−
77
)
)
(iii)
(
(
−
2
)
,
(
−
125
)
)
,
(
(
−
1
)
,
(
−
113
)
)
,
(
1
,
(
−
102
)
)
,
(
1
,
(
−
89
)
)
,
(
2
,
(
−
77
)
)
(iv)
(
(
−
2
)
,
(
−
125
)
)
,
(
(
−
1
)
,
(
−
113
)
)
,
(
0
,
(
−
101
)
)
,
(
1
,
(
−
89
)
)
,
(
4
,
(
−
75
)
)
(v)
(
(
−
2
)
,
(
−
125
)
)
,
(
(
−
1
)
,
(
−
113
)
)
,
(
0
,
(
−
101
)
)
,
(
0
,
(
−
88
)
)
,
(
2
,
(
−
77
)
)
Question
15
15.
Find the perimeter of the triangle formed by the points
(
8
,
(
−
7
)
)
,
(
(
−
6
)
,
(
−
8
)
)
and
(
8
,
0
)
(i)
(
√
197
+
2
√
67
+
7
)
(ii)
(
√
197
+
2
√
65
+
7
)
(iii)
(
√
197
+
2
√
63
+
7
)
(iv)
(
√
197
+
2
√
65
+
6
)
(v)
(
√
197
+
2
√
65
+
8
)
Question
16
16.
The line
(
14
x
+
8
y
−
111
)
=
0
bisects which of the following pairs of points?
(i)
(
1
,
4
)
,
(
7
,
9
)
(ii)
(
1
,
4
)
,
(
8
,
8
)
(iii)
(
3
,
6
)
,
(
8
,
8
)
(iv)
(
2
,
3
)
,
(
8
,
8
)
(v)
(
(
−
1
)
,
2
)
,
(
8
,
8
)
Question
17
17.
Find the coordinates of the midpoints of the sides of the quadrilateral
formed by
(
(
−
4
)
,
3
)
,
(
(
−
1
)
,
7
)
,
(
(
−
4
)
,
8
)
and
(
(
−
6
)
,
5
)
(i)
(
(
−
5
2
)
,
5
)
,
(
(
−
5
2
)
,
15
2
)
,
(
(
−
5
)
,
13
2
)
,
(
(
−
5
)
,
4
)
(ii)
(
(
−
5
2
)
,
5
)
,
(
(
−
5
2
)
,
15
2
)
,
(
(
−
7
)
,
9
2
)
,
(
(
−
5
)
,
4
)
(iii)
(
(
−
1
2
)
,
7
)
,
(
(
−
5
2
)
,
15
2
)
,
(
(
−
5
)
,
13
2
)
,
(
(
−
5
)
,
4
)
(iv)
(
(
−
5
2
)
,
5
)
,
(
(
−
5
2
)
,
15
2
)
,
(
(
−
4
)
,
11
2
)
,
(
(
−
5
)
,
4
)
(v)
(
(
−
5
2
)
,
5
)
,
(
(
−
5
2
)
,
15
2
)
,
(
(
−
5
)
,
13
2
)
,
(
(
−
6
)
,
5
)
Question
18
18.
Which of the following equations satisfy the given points
(
(
−
2
)
,
1
18
)
,
(
(
−
1
)
,
(
−
5
9
)
)
,
(
0
,
(
−
7
6
)
)
,
(
1
,
(
−
16
9
)
)
,
(
2
,
(
−
43
18
)
)
?
(i)
x
=
3
(ii)
(
−
11
x
−
18
y
−
63
)
=
0
(iii)
x
=
(
11
18
y
+
29
6
)
(iv)
y
=
(
−
11
18
x
−
7
6
)
(v)
y
=
(
−
3
)
Question
19
19.
Find the point on y-axis which is equidistant
from the points
(
3
,
6
)
and
(
7
,
(
−
5
)
)
(i)
(
(
−
2
)
,
(
−
73
22
)
)
(ii)
(
1
,
(
−
51
22
)
)
(iii)
(
0
,
(
−
29
22
)
)
(iv)
(
2
,
15
22
)
(v)
(
(
−
1
)
,
(
−
7
22
)
)
Question
20
20.
The centre of a circle is
(
(
−
4
)
,
0
)
.
Find the other end of the diameter whose one end point is
(
(
−
2
)
,
8
)
(i)
(
(
−
8
)
,
(
−
6
)
)
(ii)
(
6
,
8
)
(iii)
(
(
−
6
)
,
(
−
8
)
)
(iv)
(
(
−
6
)
,
8
)
(v)
(
6
,
(
−
8
)
)
Question
21
21.
Identify the point belonging to the first quadrant
(i)
(
(
−
5
)
,
(
−
2
)
)
(ii)
(
(
−
4
)
,
7
)
(iii)
(
8
,
4
)
(iv)
(
9
,
(
−
9
)
)
Question
22
22.
Find the point that divides the join of points
(
(
−
5
)
,
8
)
and
(
2
,
(
−
5
)
)
internally
in the ratio
1
:
4
(i)
(
(
−
18
5
)
,
27
5
)
(ii)
(
(
−
13
5
)
,
22
5
)
(iii)
(
(
−
28
5
)
,
17
5
)
(iv)
(
(
−
23
5
)
,
32
5
)
(v)
(
(
−
8
5
)
,
37
5
)
Question
23
23.
If A
(
(
−
3
)
,
6
)
and B
(
2
,
8
)
are two points,
find the coordinates of the point C on AB produced so that AC = 2BC
(i)
(
7
,
10
)
(ii)
(
6
,
11
)
(iii)
(
9
,
12
)
(iv)
(
8
,
9
)
(v)
(
5
,
8
)
Question
24
24.
Any line parallel to y-axis is
(i)
a vertical line
(ii)
a curved line
(iii)
a horizontal line
(iv)
an oblique line
Question
25
25.
Find the distance between the points
(
3
,
(
−
8
)
)
and
(
2
,
1
)
(i)
√
82
(ii)
4
√
82
(iii)
82
(iv)
√
80
(v)
√
84
Assignment Key
1) (iv)
2) (iii)
3) (iv)
4) (iv)
5) (v)
6) (iii)
7) (v)
8) (iii)
9) (iv)
10) (iv)
11) (v)
12) (iv)
13) (i)
14) (i)
15) (ii)
16) (ii)
17) (i)
18) (iv)
19) (iii)
20) (iii)
21) (iii)
22) (i)
23) (i)
24) (i)
25) (i)
