EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
In what ratio is the join of
(
(
−
3
)
,
1
)
and
(
(
−
3
)
,
(
−
2
)
)
divided by x-axis?
(i)
5
:
1
(ii)
1
:
2
(iii)
2
:
2
(iv)
5
:
6
(v)
0
:
2
Question
2
2.
The points
(
(
−
4
)
,
7
)
,
(
8
,
7
)
and
(
(
−
6
)
,
2
)
represent
(i)
isosceles triangle
(ii)
collinear points
(iii)
equilateral triangle
(iv)
scalene triangle
(v)
right angle triangle
Question
3
3.
(
5
,
5
)
,
(
(
−
6
)
,
(
−
5
)
)
and
(
3
,
(
−
1
)
)
are the vertices of triangle ABC.
Find the equation of the median of the triangle through vertex C
(i)
(
8
x
−
13
2
y
−
15
2
)
=
0
(ii)
(
−
x
−
5
2
y
−
1
2
)
=
0
(iii)
(
−
x
−
7
2
y
−
1
2
)
=
0
(iv)
(
−
7
x
+
10
y
+
8
)
=
0
(v)
(
−
x
−
9
2
y
−
1
2
)
=
0
Question
4
4.
Find the relation between x and y such that the point P
(
x
,
y
)
is equidistant from points
(
0
,
(
−
6
)
)
and
(
5
,
5
)
(i)
(
5
x
+
11
y
−
7
)
=
0
(ii)
(
4
x
+
11
y
−
7
)
=
0
(iii)
(
5
x
−
y
+
6
)
=
0
(iv)
(
5
x
+
14
y
−
7
)
=
0
(v)
(
5
x
+
y
+
6
)
=
0
Question
5
5.
Find the distance of the point
(
(
−
6
)
,
8
)
from origin
(i)
8
(ii)
10
(iii)
11
(iv)
9
(v)
12
Question
6
6.
The points
(
(
−
2
)
,
(
−
1
)
)
,
(
5
,
(
−
1
)
)
,
(
9
,
2
)
and
(
2
,
2
)
represent
(i)
parallelogram
(ii)
rhombus
(iii)
square
(iv)
trapezium
(v)
rectangle
Question
7
7.
If point P
(
(
−
5
2
)
,
5
)
bisects A
(
2
,
3
)
and B
(
x
,
y
)
, find
(
x
,
y
)
(i)
(
(
−
5
)
,
9
)
(ii)
(
(
−
9
)
,
5
)
(iii)
(
(
−
8
)
,
8
)
(iv)
(
(
−
7
)
,
7
)
(v)
(
(
−
6
)
,
6
)
Question
8
8.
Find the value of k such that the points
(
(
−
9
)
,
(
−
8
)
)
,
(
22
7
,
4
7
)
and
(k,4)
are collinear
(i)
11
(ii)
8
(iii)
7
(iv)
6
(v)
9
Question
9
9.
If the point
(
(
−
1
)
,
37
13
)
divides the join of points
(
(
−
1
)
,
5
)
and
(
x
,
y
)
in the ratio
7
:
6
, find
(
x
,
y
)
(i)
(
0
,
0
)
(ii)
(
(
−
1
)
,
1
)
(iii)
(
(
−
3
)
,
(
−
1
)
)
(iv)
(
(
−
2
)
,
2
)
(v)
(
1
,
3
)
Question
10
10.
The centre of a circle is
(
(
−
3
)
,
1
)
.
Find the other end of the diameter whose one end point is
(
(
−
4
)
,
(
−
6
)
)
(i)
(
2
,
8
)
(ii)
(
(
−
2
)
,
(
−
8
)
)
(iii)
(
2
,
(
−
8
)
)
(iv)
(
8
,
(
−
2
)
)
(v)
(
(
−
2
)
,
8
)
Question
11
11.
Find the coordinates of the vertices of the triangle,
the mid points of whose sides are
(
(
−
2
)
,
1
2
)
,
(
5
2
,
13
2
)
and
(
(
−
1
2
)
,
1
)
(i)
(
(
−
5
)
,
(
−
5
)
)
,
(
1
,
6
)
,
(
4
,
7
)
(ii)
(
(
−
5
)
,
(
−
5
)
)
,
(
1
,
6
)
,
(
2
,
5
)
(iii)
(
(
−
6
)
,
(
−
4
)
)
,
(
1
,
6
)
,
(
4
,
7
)
(iv)
(
(
−
5
)
,
(
−
5
)
)
,
(
3
,
8
)
,
(
4
,
7
)
(v)
(
(
−
5
)
,
(
−
5
)
)
,
(
1
,
6
)
,
(
5
,
6
)
Question
12
12.
In what ratio is the join of
(
7
,
(
−
8
)
)
and
(
7
,
5
)
divided by the line
(
−
y
+
1
)
=
0
?
(i)
9
:
4
(ii)
9
:
2
(iii)
10
:
4
(iv)
9
:
7
(v)
8
:
4
Question
13
13.
A is a point on x-axis with abscissa
8
and B is a point on y-axis
with ordinate
0
.
Find the distance between A and B
(i)
9
(ii)
7
(iii)
5
(iv)
8
(v)
10
Question
14
14.
Find the value of k such that the points
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
6
)
,
2
)
and
(-7,k)
are collinear
(i)
8
(ii)
6
(iii)
5
(iv)
4
(v)
3
Question
15
15.
The points
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
4
)
,
8
)
and
(
14
,
24
7
)
represent
(i)
collinear points
(ii)
scalene triangle
(iii)
right angle triangle
(iv)
equilateral triangle
(v)
isosceles triangle
Question
16
16.
Find the point that divides the join of points
(
6
,
(
−
4
)
)
and
(
1
,
(
−
7
)
)
internally
in the ratio
8
:
2
(i)
(
4
,
(
−
22
5
)
)
(ii)
(
2
,
(
−
32
5
)
)
(iii)
(
0
,
(
−
42
5
)
)
(iv)
(
1
,
(
−
27
5
)
)
(v)
(
3
,
(
−
37
5
)
)
Question
17
17.
Distance of the given point from x-axis is
(i)
6
(ii)
8
(iii)
4
(iv)
2
Question
18
18.
A point lies on positive side of x-axis at a distance of 5 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
5
)
,
0
)
(ii)
(
5
,
0
)
(iii)
(
0
,
(
−
5
)
)
(iv)
(
0
,
5
)
Question
19
19.
A and B are two points on the x-axis and y-axis respectively.
If
(
2
,
0
)
is the mid-point of the join of A and B, find A and B
(i)
(
4
,
0
)
,
(
(
−
1
)
,
1
)
(ii)
(
6
,
2
)
,
(
0
,
0
)
(iii)
(
5
,
(
−
1
)
)
,
(
0
,
0
)
(iv)
(
2
,
(
−
2
)
)
,
(
0
,
0
)
(v)
(
4
,
0
)
,
(
0
,
0
)
Question
20
20.
The points
(
(
−
6
)
,
(
−
6
)
)
,
(
6
,
6
)
and
(
(
−
42
17
)
,
(
−
42
17
)
)
represents
(i)
collinear points
(ii)
isoceles triangle
(iii)
equilateral triangle
(iv)
right angle triangle
Question
21
21.
In what ratio is the join of
(
(
−
8
)
,
(
−
8
)
)
and
(
3
,
3
)
divided by the line
x
=
0
?
(i)
7
:
3
(ii)
8
:
1
(iii)
9
:
3
(iv)
8
:
3
(v)
8
:
5
Question
22
22.
If point P
(
(
−
103
12
)
,
4
)
is equidistant from the points
(a,7)
and
(
(
−
4
)
,
(
−
6
)
)
, find a
(i)
1
(ii)
0
(iii)
2
(iv)
4
(v)
3
Question
23
23.
Find the coordinates of the midpoints of the sides of the quadrilateral
formed by
(
(
−
6
)
,
(
−
2
)
)
,
(
(
−
3
)
,
1
)
,
(
(
−
7
)
,
2
)
and
(
(
−
7
)
,
2
)
(i)
(
(
−
9
2
)
,
(
−
1
2
)
)
,
(
(
−
5
)
,
3
2
)
,
(
(
−
7
)
,
2
)
,
(
(
−
15
2
)
,
1
)
(ii)
(
(
−
9
2
)
,
(
−
1
2
)
)
,
(
(
−
5
)
,
3
2
)
,
(
(
−
7
)
,
2
)
,
(
(
−
13
2
)
,
0
)
(iii)
(
(
−
5
2
)
,
3
2
)
,
(
(
−
5
)
,
3
2
)
,
(
(
−
7
)
,
2
)
,
(
(
−
13
2
)
,
0
)
(iv)
(
(
−
9
2
)
,
(
−
1
2
)
)
,
(
(
−
5
)
,
3
2
)
,
(
(
−
6
)
,
1
)
,
(
(
−
13
2
)
,
0
)
(v)
(
(
−
9
2
)
,
(
−
1
2
)
)
,
(
(
−
5
)
,
3
2
)
,
(
(
−
9
)
,
0
)
,
(
(
−
13
2
)
,
0
)
Question
24
24.
Three vertices of a parallelogram are
(
(
−
2
)
,
(
−
5
)
)
,
(
5
,
(
−
5
)
)
and
(
9
,
(
−
1
)
)
.
Find the fourth vertex
(i)
(
4
,
1
)
(ii)
(
3
,
(
−
2
)
)
(iii)
(
2
,
(
−
1
)
)
(iv)
(
1
,
0
)
(v)
(
0
,
(
−
3
)
)
Question
25
25.
Find the distance between the points
(
(
−
6
)
,
6
)
and
(
(
−
2
)
,
4
)
(i)
2
√
5
(ii)
10
(iii)
2
√
2
(iv)
2
4
√
5
(v)
2
√
8
Assignment Key
1) (ii)
2) (iv)
3) (iii)
4) (i)
5) (ii)
6) (i)
7) (iv)
8) (ii)
9) (ii)
10) (v)
11) (i)
12) (i)
13) (iv)
14) (iii)
15) (v)
16) (ii)
17) (iii)
18) (ii)
19) (v)
20) (i)
21) (iv)
22) (iii)
23) (ii)
24) (iii)
25) (i)
