EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Find the area of the quadrilateral formed by
(
(
−
6
)
,
5
)
,
(
(
−
3
)
,
9
)
,
(
(
−
7
)
,
10
)
and
(
(
−
8
)
,
9
)
(i)
27
2
(ii)
25
4
(iii)
25
(iv)
25
2
(v)
23
2
Question
2
2.
The points
(
(
−
1
)
,
(
−
6
)
)
,
(
5
,
(
−
6
)
)
,
(
5
,
(
−
1
)
)
and
(
(
−
1
)
,
(
−
1
)
)
represents
(i)
square
(ii)
rhombus
(iii)
parallelogram
(iv)
rectangle
(v)
trapezium
Question
3
3.
A point lies on negative side of y-axis at a distance of 1 units from x-axis. What are the coordinates of the point?
(i)
(
0
,
(
−
1
)
)
(ii)
(
0
,
1
)
(iii)
(
(
−
1
)
,
0
)
(iv)
(
1
,
0
)
Question
4
4.
Find the coordinates of the mid points of the sides of the triangle formed by
(
(
−
7
)
,
(
−
1
)
)
,
(
6
,
0
)
and
(
(
−
6
)
,
2
)
(i)
(
(
−
1
2
)
,
(
−
1
2
)
)
,
(
2
,
3
)
,
(
(
−
13
2
)
,
1
2
)
(ii)
(
(
−
1
2
)
,
(
−
1
2
)
)
,
(
0
,
1
)
,
(
(
−
13
2
)
,
1
2
)
(iii)
(
(
−
1
2
)
,
(
−
1
2
)
)
,
(
0
,
1
)
,
(
(
−
17
2
)
,
(
−
3
2
)
)
(iv)
(
(
−
1
2
)
,
(
−
1
2
)
)
,
(
0
,
1
)
,
(
(
−
11
2
)
,
(
−
1
2
)
)
(v)
(
(
−
3
2
)
,
1
2
)
,
(
0
,
1
)
,
(
(
−
13
2
)
,
1
2
)
Question
5
5.
A point lies on positive side of y-axis at a distance of 5 units from x-axis. What are the coordinates of the point?
(i)
(
(
−
5
)
,
0
)
(ii)
(
0
,
5
)
(iii)
(
5
,
0
)
(iv)
(
0
,
(
−
5
)
)
Question
6
6.
The points
(
(
−
7
)
,
0
)
,
(
3
,
7
)
and
(
(
−
2
−
7
2
√
3
)
,
(
7
2
+
5
√
3
)
)
represent
(i)
right angled triangle
(ii)
equilateral triangle
(iii)
scalene triangle
(iv)
isosceles triangle
Question
7
7.
A point lies on positive 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
8
8.
KM is the straight line of length
5
units.
If K has the coordinates
(
(
−
3
)
,
1
)
and M has coordinates
(k,1)
,
find the possible values of k
(i)
(
4
,
(
−
6
)
)
(ii)
(
0
,
(
−
10
)
)
(iii)
(
2
,
(
−
8
)
)
(iv)
(
1
,
(
−
7
)
)
(v)
(
3
,
(
−
9
)
)
Question
9
9.
In what ratio is the join of
(
(
−
2
)
,
5
)
and
(
5
,
6
)
divided by the line
(
x
−
1
)
=
0
?
(i)
3
:
7
(ii)
3
:
4
(iii)
4
:
4
(iv)
2
:
4
(v)
3
:
2
Question
10
10.
In what ratio is the join of
(
2
,
5
)
and
(
(
−
2
)
,
(
−
5
)
)
divided by x-axis?
(i)
2
:
2
(ii)
6
:
5
(iii)
5
:
5
(iv)
2
:
7
(v)
4
:
5
Question
11
11.
Distance of the given point from y-axis is
(i)
1
(ii)
5
(iii)
3
(iv)
4
Question
12
12.
Find the ratio in which point
(
5
4
,
(
−
7
8
)
)
divides the join of points
(
(
−
4
)
,
(
−
7
)
)
and
(
2
,
0
)
(i)
7
:
-1
(ii)
6
:
1
(iii)
8
:
1
(iv)
7
:
1
(v)
7
:
3
Question
13
13.
Find the points on x-axis,
which are at a distance of
6
units
from the point
(
0
,
2
)
(i)
(
4
√
2
,
0
)
,
(
(
−
4
√
2
)
,
0
)
(ii)
(
(
4
√
2
+
1
)
,
(
−
1
)
)
,
(
(
−
4
√
2
)
,
0
)
(iii)
(
(
4
√
2
+
2
)
,
2
)
,
(
(
−
4
√
2
)
,
0
)
(iv)
(
4
√
2
,
0
)
,
(
(
−
4
√
2
−
1
)
,
1
)
(v)
(
(
4
√
2
−
2
)
,
(
−
2
)
)
,
(
(
−
4
√
2
)
,
0
)
Question
14
14.
Distance of the point (5,1) from x-axis is
(i)
6
(ii)
4
(iii)
1
(iv)
(
−
4
)
(v)
5
Question
15
15.
The points
(
(
−
2
)
,
(
−
3
)
)
,
(
5
,
(
−
3
)
)
,
(
9
,
1
)
and
(
2
,
1
)
represent
(i)
trapezium
(ii)
rhombus
(iii)
square
(iv)
parallelogram
(v)
rectangle
Question
16
16.
Find the point on x-axis which is equidistant
from the points
(
3
,
8
)
and
(
(
−
8
)
,
1
)
(i)
(
4
11
,
0
)
(ii)
(
(
−
18
11
)
,
(
−
2
)
)
(iii)
(
(
−
7
11
)
,
1
)
(iv)
(
15
11
,
(
−
1
)
)
(v)
(
26
11
,
2
)
Question
17
17.
A is a point on x-axis with abscissa
3
and B is a point on y-axis
with ordinate
(-1)
.
Find the distance between A and B
(i)
4
√
10
(ii)
√
8
(iii)
10
(iv)
√
10
(v)
√
13
Question
18
18.
Find the value of k such that the points
(
(
−
8
)
,
7
)
,
(
(
−
5
)
,
19
3
)
and
(k,5)
are collinear
(i)
3
(ii)
1
(iii)
-1
(iv)
2
(v)
0
Question
19
19.
If point P
(
3
,
(
−
1
)
)
bisects A
(
0
,
(
−
1
)
)
and B
(
x
,
y
)
, find
(
x
,
y
)
(i)
(
8
,
1
)
(ii)
(
5
,
0
)
(iii)
(
4
,
(
−
3
)
)
(iv)
(
7
,
(
−
2
)
)
(v)
(
6
,
(
−
1
)
)
Question
20
20.
The mid-point of the join of points
(
(
−
7
)
,
(
−
6
)
)
and
(
6
,
8
)
is
(i)
(
3
2
,
3
)
(ii)
(
1
2
,
0
)
(iii)
(
(
−
3
2
)
,
2
)
(iv)
(
(
−
1
2
)
,
1
)
(v)
(
(
−
5
2
)
,
(
−
1
)
)
Question
21
21.
The points
(
(
−
5
)
,
(
−
2
)
)
,
(
3
,
(
−
2
)
)
and
(
3
,
3
)
represent
(i)
scalene triangle
(ii)
equilateral triangle
(iii)
collinear points
(iv)
isosceles right angled triangle
(v)
right angle triangle
Question
22
22.
If point P
(x,6)
is equidistant from the points
(
0
,
3
)
and
(
2
,
5
)
, find x
(i)
-4
(ii)
-2
(iii)
0
(iv)
1
(v)
-1
Question
23
23.
Find the point that bisects
(
(
−
3
)
,
8
)
and
(
3
,
3
)
(i)
(
2
,
15
2
)
(ii)
(
1
,
9
2
)
(iii)
(
(
−
2
)
,
7
2
)
(iv)
(
0
,
11
2
)
(v)
(
(
−
1
)
,
13
2
)
Question
24
24.
Distance of the point (2,9) from y-axis is
(i)
7
(ii)
(
−
7
)
(iii)
9
(iv)
11
(v)
2
Question
25
25.
Find the coordinates of the vertices of the triangle,
the mid points of whose sides are
(
11
2
,
3
)
,
(
5
2
,
(
−
5
2
)
)
and
(
5
,
(
−
1
2
)
)
(i)
(
8
,
5
)
,
(
5
,
3
)
,
(
2
,
(
−
6
)
)
(ii)
(
7
,
6
)
,
(
3
,
1
)
,
(
2
,
(
−
6
)
)
(iii)
(
8
,
5
)
,
(
3
,
1
)
,
(
2
,
(
−
6
)
)
(iv)
(
8
,
5
)
,
(
3
,
1
)
,
(
3
,
(
−
7
)
)
(v)
(
8
,
5
)
,
(
3
,
1
)
,
(
0
,
(
−
8
)
)
Assignment Key
1) (iv)
2) (iv)
3) (i)
4) (ii)
5) (ii)
6) (ii)
7) (i)
8) (iii)
9) (ii)
10) (iii)
11) (iv)
12) (iv)
13) (i)
14) (iii)
15) (iv)
16) (i)
17) (iv)
18) (ii)
19) (v)
20) (iv)
21) (v)
22) (v)
23) (iv)
24) (v)
25) (iii)
