EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the points on x-axis,
which are at a distance of
8
units
from the point
(
(
−
5
)
,
(
−
1
)
)
(i)
(
(
−
7
+
3
√
7
)
,
(
−
2
)
)
,
(
(
−
5
−
3
√
7
)
,
0
)
(ii)
(
(
−
5
+
3
√
7
)
,
0
)
,
(
(
−
6
−
3
√
7
)
,
1
)
(iii)
(
(
−
3
+
3
√
7
)
,
2
)
,
(
(
−
5
−
3
√
7
)
,
0
)
(iv)
(
(
−
4
+
3
√
7
)
,
(
−
1
)
)
,
(
(
−
5
−
3
√
7
)
,
0
)
(v)
(
(
−
5
+
3
√
7
)
,
0
)
,
(
(
−
5
−
3
√
7
)
,
0
)
Question
2
2.
The point of intersection of x-axis and y-axis
(i)
(
0
,
0
)
(ii)
(
1
,
0
)
(iii)
(
0
,
4
)
(iv)
(
6
,
0
)
(v)
(
1
,
1
)
Question
3
3.
KM is the straight line of length
√
37
units.
If K has the coordinates
(
2
,
7
)
and M has coordinates
(k,8)
,
find the possible values of k
(i)
(
9
,
(
−
5
)
)
(ii)
(
10
,
(
−
2
)
)
(iii)
(
6
,
(
−
6
)
)
(iv)
(
7
,
(
−
3
)
)
(v)
(
8
,
(
−
4
)
)
Question
4
4.
The slope of any line parallel to x-axis is
(i)
zero
(ii)
1
(iii)
90
(iv)
-1
(v)
undefined
Question
5
5.
Which of the displayed lines represent the equation
y
=
4
(i)
line with point
R
(ii)
line with point
V
(iii)
line with point
U
(iv)
line with point
T
(v)
line with point
S
Question
6
6.
Find the perimeter of the triangle formed by the points
(
(
−
7
)
,
(
−
2
)
)
,
(
(
−
6
)
,
7
)
and
(
3
,
(
−
2
)
)
(i)
(
√
82
+
9
√
2
+
9
)
(ii)
(
√
82
+
9
√
4
+
10
)
(iii)
(
√
82
+
9
√
2
+
11
)
(iv)
(
√
82
+
9
√
2
+
10
)
(v)
(
√
82
+
9
√
-1
+
10
)
Question
7
7.
The coordinates of the point dividing the join of points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
internally in the ratio m:n are
(i)
(
m
x
2
+
n
x
1
m + n
,
m
y
2
+
n
y
1
m + n
)
(ii)
(
m
x
2
−
n
x
1
m - n
,
m
y
2
−
n
y
1
m - n
)
(iii)
(
n
x
2
−
m
x
1
m - n
,
n
y
2
−
m
y
1
m - n
)
(iv)
(
n
x
2
+
m
x
1
m + n
,
n
y
2
+
m
y
1
m + n
)
Question
8
8.
Find the y-intercept of the line
(
8
x
−
y
+
29
)
=
0
(i)
30
(ii)
28
(iii)
29
(iv)
27
(v)
31
Question
9
9.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
second quadrant
(iii)
first quadrant
(iv)
third quadrant
Question
10
10.
The points
(
(
−
1
)
,
(
−
3
)
)
,
(
5
,
(
−
3
)
)
and
(
5
,
2
)
represent
(i)
collinear points
(ii)
isosceles right angled triangle
(iii)
right angle triangle
(iv)
scalene triangle
(v)
equilateral triangle
Question
11
11.
In △PQR, if QR = 17 cm, RP = 12 cm and perimeter = 39 cm, then area of the triangle =
(i)
53.94 sq.cm
(ii)
61.94 sq.cm
(iii)
55.94 sq.cm
(iv)
58.94 sq.cm
(v)
63.94 sq.cm
Question
12
12.
The points
(
(
−
4
)
,
(
−
4
)
)
,
(
2
,
(
−
4
)
)
,
(
5
,
1
)
and
(
(
−
1
)
,
1
)
represent
(i)
square
(ii)
rhombus
(iii)
trapezium
(iv)
parallelogram
(v)
rectangle
Question
13
13.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a vertical line
(iv)
a curved line
Question
14
14.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 57 cm, what is its area ?
(i)
156.32 sq.cm
(ii)
131.32 sq.cm
(iii)
173.32 sq.cm
(iv)
152.32 sq.cm
(v)
158.32 sq.cm
Question
15
15.
Which of the following lines pass through the origin?
(i)
(
8
x
−
y
)
=
0
(ii)
(
3
x
−
8
y
−
46
)
=
0
(iii)
(
−
6
x
+
8
y
−
58
)
=
0
(iv)
(
−
10
x
−
y
−
68
)
=
0
(v)
(
13
x
+
y
−
21
)
=
0
Question
16
16.
If point P
(
(
−
27
)
,
7
)
is equidistant from the points
(a,-3)
and
(
(
−
4
)
,
(
−
7
)
)
, find a
(i)
-3
(ii)
-2
(iii)
0
(iv)
-4
(v)
-1
Question
17
17.
If perimeter of an equilateral triangle 60 cm, the area of the equilateral triangle =
(i)
201.21 sq.cm
(ii)
167.21 sq.cm
(iii)
173.21 sq.cm
(iv)
185.21 sq.cm
(v)
156.21 sq.cm
Question
18
18.
The points
(
7
,
(
−
2
)
)
,
(
1
,
(
−
7
)
)
and
(
(
4
+
5
2
√
3
)
,
(
−
9
2
−
3
√
3
)
)
represent
(i)
isosceles triangle
(ii)
right angled triangle
(iii)
scalene triangle
(iv)
equilateral triangle
Question
19
19.
Distance of the given point from y-axis is
(i)
4
(ii)
8
(iii)
16
(iv)
0
Question
20
20.
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)
(
0
,
7
)
(iv)
(
7
,
0
)
Question
21
21.
If point P
(
(
−
11
2
)
,
1
2
)
bisects A
(
(
−
8
)
,
3
)
and B
(
x
,
y
)
, find
(
x
,
y
)
(i)
(
(
−
2
)
,
(
−
3
)
)
(ii)
(
(
−
1
)
,
0
)
(iii)
(
(
−
4
)
,
(
−
1
)
)
(iv)
(
(
−
5
)
,
(
−
4
)
)
(v)
(
(
−
3
)
,
(
−
2
)
)
Question
22
22.
The points
(
(
−
4
)
,
(
−
1
)
)
,
(
0
,
3
)
and
(
4
,
(
−
1
)
)
represent
(i)
collinear points
(ii)
right angle triangle
(iii)
equilateral triangle
(iv)
scalene triangle
(v)
isosceles right angled triangle
Question
23
23.
Find the value of k such that the points
(
(
−
7
)
,
7
)
,
(
(
−
5
)
,
7
)
and
(k,7)
are collinear
(i)
-3
(ii)
-6
(iii)
-4
(iv)
0
(v)
-2
Question
24
24.
The coordinates of the origin are
(i)
(
0
,
2
)
(ii)
(
0
,
0
)
(iii)
(
1
,
0
)
(iv)
(
1
,
1
)
(v)
(
9
,
0
)
Question
25
25.
Find the coordinates of the points of trisection of the line segment
joining the points
(
1
,
(
−
8
)
)
and
(
(
−
1
)
,
7
)
(i)
(
4
3
,
(
−
4
)
)
,
(
(
−
1
3
)
,
2
)
(ii)
(
(
−
5
3
)
,
(
−
5
)
)
,
(
(
−
1
3
)
,
2
)
(iii)
(
7
3
,
(
−
1
)
)
,
(
(
−
1
3
)
,
2
)
(iv)
(
1
3
,
(
−
3
)
)
,
(
(
−
4
3
)
,
3
)
(v)
(
1
3
,
(
−
3
)
)
,
(
(
−
1
3
)
,
2
)
Assignment Key
1) (v)
2) (i)
3) (v)
4) (i)
5) (i)
6) (iv)
7) (i)
8) (iii)
9) (ii)
10) (iii)
11) (iv)
12) (iv)
13) (i)
14) (i)
15) (i)
16) (ii)
17) (iii)
18) (iv)
19) (i)
20) (ii)
21) (v)
22) (v)
23) (i)
24) (ii)
25) (v)
