EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
In what ratio is the join of
(
4
,
(
−
5
)
)
and
(
(
−
9
)
,
6
)
divided by y-axis?
(i)
3
:
4
(ii)
5
:
4
(iii)
4
:
7
(iv)
4
:
11
(v)
4
:
9
Question
2
2.
If A
(
6
,
(
−
8
)
)
and B
(
(
−
1
)
,
(
−
7
)
)
are two points,
find the coordinates of the point C on AB produced so that AC = 2BC
(i)
(
(
−
10
)
,
(
−
8
)
)
(ii)
(
(
−
8
)
,
(
−
6
)
)
(iii)
(
(
−
7
)
,
(
−
7
)
)
(iv)
(
(
−
9
)
,
(
−
5
)
)
(v)
(
(
−
6
)
,
(
−
4
)
)
Question
3
3.
A triangular park has sides 200 m, 110 m and 150 m. A gardener has to put a fence all around it and also plant grass inside. Find the cost of fencing it with barbed wire at the rate of ₹13 per metre leaving a space of 4 m wide for the gate on one side.
(i)
₹5768.00
(ii)
₹5928.00
(iii)
₹6208.00
(iv)
₹5798.00
(v)
₹5978.00
Question
4
4.
A farmer has a piece of land in the shape of a rhombus. He decided to divide the land into two equal parts such that both his son and daughter could work on the land to produce different crops. If the perimeter of the land is 360.00 m and one of the diagonals is 100 m, how much area will each get for their crops?
(i)
3741.66 sq.m
(ii)
3711.66 sq.m
(iii)
3911.66 sq.m
(iv)
3781.66 sq.m
(v)
3591.66 sq.m
Question
5
5.
Which of the points (9,6), (-2,8), (-3,-2) and (4,-9) belong to the first quadrant?
(i)
(
(
−
2
)
,
8
)
(ii)
(
(
−
3
)
,
(
−
2
)
)
(iii)
(
9
,
6
)
(iv)
(
4
,
(
−
9
)
)
Question
6
6.
The points
(
(
−
1
)
,
(
−
2
)
)
,
(
5
,
(
−
5
)
)
,
(
11
,
(
−
2
)
)
and
(
5
,
1
)
represent
(i)
rectangle
(ii)
rhombus
(iii)
trapezium
(iv)
square
(v)
parallelogram
Question
7
7.
The slope of y-axis is
(i)
undefined
(ii)
-1
(iii)
1
(iv)
90
(v)
0
Question
8
8.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
an oblique line
(iii)
a curved line
(iv)
a vertical line
Question
9
9.
The point
(
(
−
8
)
,
(
−
9
)
)
lies in
(i)
fourth quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
10
10.
Find the relation between x and y if the points
(
x
,
y
)
,
(
8
,
5
)
and
(
(
−
7
)
,
(
−
2
)
)
are collinear
(i)
(
−
7
x
+
15
y
−
19
)
=
0
(ii)
(
7
x
−
2
y
+
46
)
=
0
(iii)
(
−
10
x
+
16
y
)
=
0
(iv)
(
−
3
x
+
y
−
19
)
=
0
(v)
(
4
x
−
y
+
26
)
=
0
Question
11
11.
The points
(
4
,
(
−
5
)
)
,
(
2
,
2
)
and
(
19
2
,
5
14
)
represent
(i)
scalene triangle
(ii)
collinear points
(iii)
isosceles triangle
(iv)
equilateral triangle
(v)
right angle triangle
Question
12
12.
Identify the point belonging to the third quadrant
(i)
(
1
,
(
−
2
)
)
(ii)
(
3
,
7
)
(iii)
(
(
−
9
)
,
2
)
(iv)
(
(
−
8
)
,
(
−
3
)
)
Question
13
13.
A triangular park has sides 150 m, 160 m and 130 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ?
(i)
8849.21 sq.m
(ii)
9119.21 sq.m
(iii)
9069.21 sq.m
(iv)
9139.21 sq.m
(v)
9289.21 sq.m
Question
14
14.
The points
(
7
,
(
−
5
)
)
,
(
3
,
(
−
1
)
)
and
(
7
,
(
−
2
)
)
represent
(i)
collinear points
(ii)
equilateral triangle
(iii)
scalene triangle
(iv)
right angle triangle
(v)
isosceles triangle
Question
15
15.
Find the value of k such that the points
(
(
−
6
)
,
2
)
,
(
(
−
8
3
)
,
13
3
)
and
(4,k)
are collinear
(i)
9
(ii)
8
(iii)
12
(iv)
10
(v)
7
Question
16
16.
In a coordinate geometry plane, the vertical reference line is called
(i)
ordinate
(ii)
y-axis
(iii)
abscissa
(iv)
x-axis
(v)
origin
Question
17
17.
If point P(x,y) lies in the second quadrant, then
(i)
x is negative and y is positive
(ii)
x is positive and y is positive
(iii)
x is positive and y is negative
(iv)
x is negative and y is negative
Question
18
18.
Which of the following is a point on the positive y-axis?
(i)
(
(
−
9
)
,
0
)
(ii)
(
(
−
6
)
,
4
)
(iii)
(
0
,
(
−
7
)
)
(iv)
(
0
,
5
)
(v)
(
5
,
0
)
Question
19
19.
The point
(
3
,
(
−
9
)
)
lies in
(i)
third quadrant
(ii)
fourth quadrant
(iii)
second quadrant
(iv)
first quadrant
Question
20
20.
A point lies on negative side of y-axis at a distance of 8 units from x-axis. What are the coordinates of the point?
(i)
(
(
−
8
)
,
0
)
(ii)
(
0
,
8
)
(iii)
(
8
,
0
)
(iv)
(
0
,
(
−
8
)
)
Question
21
21.
The mid-point of the join of the points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
is
(i)
(
x
1
−
x
2
3
,
y
1
−
y
2
3
)
(ii)
(
x
1
−
x
2
2
,
y
1
−
y
2
2
)
(iii)
(
x
1
+
x
2
3
,
y
1
+
y
2
3
)
(iv)
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
(v)
(
y
1
−
y
2
2
,
x
1
−
x
2
2
)
Question
22
22.
The x-coordinate of a point is also called as
(i)
origin
(ii)
ordinate
(iii)
x-axis
(iv)
abscissa
(v)
y-axis
Question
23
23.
Which of the following equations satisfy the given points
(
(
−
2
)
,
5
2
)
,
(
(
−
1
)
,
3
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
2
)
)
,
(
2
,
(
−
3
2
)
)
?
(i)
x
=
7
(ii)
y
=
(
−
5
6
x
+
11
6
)
(iii)
y
=
(
−
4
)
(iv)
x
=
(
5
6
y
+
31
3
)
(v)
(
2
x
+
2
y
−
1
)
=
0
Question
24
24.
If point P
(
9
5
,
3
)
is equidistant from the points
(a,0)
and
(
6
,
(
−
2
)
)
, find a
(i)
-6
(ii)
-3
(iii)
-5
(iv)
-2
(v)
-4
Question
25
25.
Distance of the point (1,2) from y-axis is
(i)
(
−
1
)
(ii)
3
(iii)
1
(iv)
2
Assignment Key
1) (v)
2) (ii)
3) (ii)
4) (i)
5) (iii)
6) (ii)
7) (i)
8) (ii)
9) (iii)
10) (i)
11) (iii)
12) (iv)
13) (ii)
14) (iii)
15) (i)
16) (ii)
17) (i)
18) (iv)
19) (ii)
20) (iv)
21) (iv)
22) (iv)
23) (v)
24) (v)
25) (iii)
