EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
The line
(
−
16
x
+
14
y
+
21
)
=
0
bisects which of the following pairs of points?
(i)
(
2
,
(
−
7
)
)
,
(
(
−
4
)
,
2
)
(ii)
(
6
,
(
−
3
)
)
,
(
(
−
4
)
,
2
)
(iii)
(
4
,
(
−
5
)
)
,
(
(
−
5
)
,
3
)
(iv)
(
4
,
(
−
5
)
)
,
(
(
−
4
)
,
2
)
(v)
(
5
,
(
−
6
)
)
,
(
(
−
4
)
,
2
)
Question
2
2.
Find the value of k such that the points
(
(
−
8
)
,
8
)
,
(
(
−
6
)
,
54
7
)
and
(-1,k)
are collinear
(i)
7
(ii)
8
(iii)
6
(iv)
4
(v)
10
Question
3
3.
Distance of the point (7,8) from y-axis is
(i)
7
(ii)
1
(iii)
8
(iv)
(
−
1
)
(v)
15
Question
4
4.
The mid-point of the join of points
(
(
−
3
)
,
0
)
and
(
(
−
8
)
,
(
−
2
)
)
is
(i)
(
(
−
11
2
)
,
(
−
1
)
)
(ii)
(
(
−
9
2
)
,
(
−
2
)
)
(iii)
(
(
−
7
2
)
,
1
)
(iv)
(
(
−
13
2
)
,
0
)
(v)
(
(
−
15
2
)
,
(
−
3
)
)
Question
5
5.
Find the coordinates of the midpoints of the sides of the quadrilateral
formed by
(
(
−
1
)
,
(
−
3
)
)
,
(
4
,
1
)
,
(
0
,
3
)
and
(
(
−
2
)
,
1
)
(i)
(
7
2
,
1
)
,
(
2
,
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
3
2
)
,
(
−
1
)
)
(ii)
(
3
2
,
(
−
1
)
)
,
(
2
,
2
)
,
(
0
,
1
)
,
(
(
−
3
2
)
,
(
−
1
)
)
(iii)
(
3
2
,
(
−
1
)
)
,
(
2
,
2
)
,
(
(
−
3
)
,
0
)
,
(
(
−
3
2
)
,
(
−
1
)
)
(iv)
(
3
2
,
(
−
1
)
)
,
(
2
,
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
3
2
)
,
(
−
1
)
)
(v)
(
3
2
,
(
−
1
)
)
,
(
2
,
2
)
,
(
(
−
1
)
,
2
)
,
(
(
−
5
2
)
,
0
)
Question
6
6.
Find the point that bisects
(
(
−
3
)
,
0
)
and
(
(
−
1
)
,
(
−
2
)
)
(i)
(
(
−
1
)
,
(
−
2
)
)
(ii)
(
(
−
3
)
,
0
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
(iv)
(
0
,
1
)
(v)
(
(
−
4
)
,
(
−
3
)
)
Question
7
7.
Find the coordinates of the mid points of the sides of the triangle formed by
(
(
−
6
)
,
7
)
,
(
5
,
(
−
1
)
)
and
(
2
,
(
−
1
)
)
(i)
(
(
−
1
2
)
,
3
)
,
(
11
2
,
1
)
,
(
(
−
2
)
,
3
)
(ii)
(
(
−
1
2
)
,
3
)
,
(
7
2
,
(
−
1
)
)
,
(
(
−
2
)
,
3
)
(iii)
(
(
−
3
2
)
,
4
)
,
(
7
2
,
(
−
1
)
)
,
(
(
−
2
)
,
3
)
(iv)
(
(
−
1
2
)
,
3
)
,
(
7
2
,
(
−
1
)
)
,
(
(
−
1
)
,
2
)
(v)
(
(
−
1
2
)
,
3
)
,
(
7
2
,
(
−
1
)
)
,
(
(
−
4
)
,
1
)
Question
8
8.
The points
(
(
−
1
)
,
(
−
6
)
)
,
(
(
−
2
)
,
7
)
and
(
6
,
1
)
represent
(i)
scalene triangle
(ii)
isosceles triangle
(iii)
right angle triangle
(iv)
equilateral triangle
(v)
collinear points
Question
9
9.
If point P
(
17
6
,
3
)
is equidistant from the points
(a,4)
and
(
6
,
(
−
2
)
)
, find a
(i)
-3
(ii)
-2
(iii)
-4
(iv)
-1
(v)
-6
Question
10
10.
The points
(
3
,
6
)
,
(
5
,
(
−
8
)
)
and
(
(
−
12
)
,
(
−
23
7
)
)
represent
(i)
equilateral triangle
(ii)
scalene triangle
(iii)
isosceles triangle
(iv)
collinear points
(v)
right angle triangle
Question
11
11.
In what ratio is the join of
(
6
,
6
)
and
(
(
−
7
)
,
2
)
divided by y-axis?
(i)
3
:
3
(ii)
6
:
4
(iii)
6
:
7
(iv)
6
:
10
(v)
5
:
3
Question
12
12.
In what ratio is the join of
(
7
,
(
−
2
)
)
and
(
(
−
7
)
,
9
)
divided by the line
(
−
y
+
2
)
=
0
?
(i)
4
:
7
(ii)
3
:
7
(iii)
4
:
5
(iv)
4
:
9
(v)
5
:
7
Question
13
13.
The centre of a circle is
(
1
,
8
)
.
Find the other end of the diameter whose one end point is
(
(
−
6
)
,
8
)
(i)
(
8
,
8
)
(ii)
(
8
,
(
−
8
)
)
(iii)
(
(
−
8
)
,
(
−
8
)
)
(iv)
(
(
−
8
)
,
8
)
Question
14
14.
Find the point on x-axis which is equidistant
from the points
(
8
,
(
−
7
)
)
and
(
(
−
6
)
,
(
−
8
)
)
(i)
(
13
28
,
0
)
(ii)
(
69
28
,
2
)
(iii)
(
(
−
15
28
)
,
1
)
(iv)
(
41
28
,
(
−
1
)
)
(v)
(
(
−
43
28
)
,
(
−
2
)
)
Question
15
15.
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)
(
0
,
7
)
(iv)
(
7
,
0
)
Question
16
16.
One end of the diameter of a circle is
(
5
,
(
−
4
)
)
.
If the centre is
(
4
,
(
−
5
)
)
,
find the other end of the diameter
(i)
(
2
,
(
−
5
)
)
(ii)
(
4
,
(
−
7
)
)
(iii)
(
5
,
(
−
4
)
)
(iv)
(
1
,
(
−
8
)
)
(v)
(
3
,
(
−
6
)
)
Question
17
17.
The points
(
(
−
1
)
,
(
−
2
)
)
,
(
7
,
(
−
2
)
)
,
(
7
,
1
)
and
(
(
−
1
)
,
1
)
represents
(i)
square
(ii)
rectangle
(iii)
parallelogram
(iv)
trapezium
(v)
rhombus
Question
18
18.
In what ratio is the join of
(
(
−
3
)
,
(
−
1
)
)
and
(
4
,
7
)
divided by the line
(
x
−
2
)
=
0
?
(i)
5
:
4
(ii)
6
:
2
(iii)
4
:
2
(iv)
5
:
2
(v)
5
:
0
Question
19
19.
Find the centre of the circle, the endpoints of whose
diameter are
(
1
,
(
−
1
)
)
and
(
(
−
8
)
,
8
)
(i)
(
7
2
,
(
−
7
2
)
)
(ii)
(
7
2
,
7
2
)
(iii)
(
(
−
7
2
)
,
7
2
)
(iv)
(
(
−
7
2
)
,
(
−
7
2
)
)
Question
20
20.
Find the area of the triangle
formed by the points
(
5
,
5
)
,
(
4
,
0
)
and
(
7
,
(
−
3
)
)
(i)
6
(ii)
10
(iii)
12
(iv)
9
(v)
8
Question
21
21.
Find the distance between the points
(
4
,
(
−
8
)
)
and
(
6
,
(
−
6
)
)
(i)
2
4
√
2
(ii)
2
√
2
(iii)
4
(iv)
2
√
1
2
(v)
2
√
5
Question
22
22.
The points
(
(
−
6
)
,
(
−
5
)
)
,
(
0
,
(
−
5
)
)
and
(
0
,
(
−
1
)
)
represent
(i)
isosceles right angled triangle
(ii)
right angle triangle
(iii)
scalene triangle
(iv)
equilateral triangle
(v)
collinear points
Question
23
23.
Find the ratio in which point
(
1
5
,
2
5
)
divides the join of points
(
5
,
0
)
and
(
(
−
7
)
,
1
)
(i)
2
:
1
(ii)
2
:
5
(iii)
3
:
3
(iv)
1
:
3
(v)
2
:
3
Question
24
24.
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)
(
n
x
2
−
m
x
1
m - n
,
n
y
2
−
m
y
1
m - n
)
(ii)
(
n
x
2
+
m
x
1
m + n
,
n
y
2
+
m
y
1
m + n
)
(iii)
(
m
x
2
+
n
x
1
m + n
,
m
y
2
+
n
y
1
m + n
)
(iv)
(
m
x
2
−
n
x
1
m - n
,
m
y
2
−
n
y
1
m - n
)
Question
25
25.
The points
(
(
−
3
)
,
(
−
3
)
)
,
(
5
,
(
−
3
)
)
,
(
9
,
2
)
and
(
1
,
2
)
represent
(i)
rhombus
(ii)
parallelogram
(iii)
rectangle
(iv)
trapezium
(v)
square
Assignment Key
1) (iv)
2) (i)
3) (i)
4) (i)
5) (iv)
6) (iii)
7) (ii)
8) (i)
9) (i)
10) (iii)
11) (iii)
12) (i)
13) (i)
14) (i)
15) (i)
16) (v)
17) (ii)
18) (iv)
19) (iii)
20) (iv)
21) (ii)
22) (ii)
23) (v)
24) (iii)
25) (ii)
