EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Find the points on y-axis,
which are at a distance of
5
units
from the point
(
(
−
5
)
,
(
−
2
)
)
(i)
(
0
,
(
−
2
)
)
(ii)
(
2
,
0
)
(iii)
(
(
−
1
)
,
(
−
1
)
)
(iv)
(
1
,
(
−
3
)
)
(v)
(
(
−
2
)
,
(
−
4
)
)
Question
2
2.
Which of the following equations satisfy the given points
(
(
−
2
)
,
130
7
)
,
(
(
−
1
)
,
17
)
,
(
0
,
108
7
)
,
(
1
,
97
7
)
,
(
2
,
86
7
)
?
(i)
(
9
x
+
32
y
−
4
)
=
0
(ii)
x
=
(
11
7
y
−
24
7
)
(iii)
y
=
6
(iv)
x
=
6
(v)
y
=
(
−
11
7
x
+
108
7
)
Question
3
3.
The slope of x-axis is
(i)
-1
(ii)
90
(iii)
undefined
(iv)
0
(v)
1
Question
4
4.
In a coordinate geometry plane, the vertical reference line is called
(i)
ordinate
(ii)
abscissa
(iii)
x-axis
(iv)
y-axis
(v)
origin
Question
5
5.
The point
(
(
−
8
)
,
(
−
1
)
)
lies in
(i)
first quadrant
(ii)
third quadrant
(iii)
second quadrant
(iv)
fourth quadrant
Question
6
6.
Which of the following equations satisfy the given points
(
(
−
5
)
,
(
−
2
)
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
(
−
5
)
,
0
)
,
(
(
−
5
)
,
1
)
,
(
(
−
5
)
,
2
)
?
(i)
x
=
(
12
13
y
−
77
13
)
(ii)
y
=
(
−
12
13
x
−
47
13
)
(iii)
x
=
(
−
5
)
(iv)
(
5
x
+
18
y
−
2
)
=
0
(v)
(
−
12
x
−
13
y
+
8
)
=
0
Question
7
7.
If point P(x,y) lies in the second quadrant, then
(i)
x is positive and y is negative
(ii)
x is positive and y is positive
(iii)
x is negative and y is positive
(iv)
x is negative and y is negative
Question
8
8.
A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 26 cm, 12 cm and 30 cm, and the parallelogram stands on the base 12 cm, find the height of the parallelogram
(i)
12.89 cm
(ii)
15.89 cm
(iii)
17.89 cm
(iv)
9.89 cm
(v)
7.89 cm
Question
9
9.
KM is the straight line of length
2
√
10
units.
If K has the coordinates
(
(
−
5
)
,
(
−
6
)
)
and M has coordinates
(k,0)
,
find the possible values of k
(i)
(
(
−
5
)
,
(
−
9
)
)
(ii)
(
(
−
4
)
,
(
−
6
)
)
(iii)
(
(
−
1
)
,
(
−
5
)
)
(iv)
(
(
−
2
)
,
(
−
8
)
)
(v)
(
(
−
3
)
,
(
−
7
)
)
Question
10
10.
Distance of the point (3,9) from y-axis is
(i)
12
(ii)
(
−
6
)
(iii)
6
(iv)
9
(v)
3
Question
11
11.
The points
(
(
−
2
)
,
(
−
5
)
)
,
(
4
,
(
−
5
)
)
,
(
7
,
(
−
1
)
)
and
(
1
,
(
−
1
)
)
represent
(i)
trapezium
(ii)
rhombus
(iii)
square
(iv)
parallelogram
(v)
rectangle
Question
12
12.
Find the set of points satisfying the equation
y
=
(
−
x
)
(i)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
(ii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
2
,
(
−
2
)
)
(iii)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
(
−
2
)
,
(
−
2
)
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
(iv)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
1
,
(
−
1
)
)
,
(
4
,
0
)
(v)
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
1
)
,
(
0
,
0
)
,
(
1
,
(
−
1
)
)
,
(
2
,
(
−
2
)
)
Question
13
13.
In what ratio is the join of
(
1
,
5
)
and
(
(
−
3
)
,
(
−
9
)
)
divided by x-axis?
(i)
8
:
1
(ii)
5
:
9
(iii)
4
:
9
(iv)
8
:
6
(v)
6
:
9
Question
14
14.
The points
(
(
−
1
)
,
(
−
1
)
)
,
(
4
,
(
−
5
)
)
,
(
9
,
(
−
1
)
)
and
(
4
,
3
)
represent
(i)
trapezium
(ii)
parallelogram
(iii)
rectangle
(iv)
square
(v)
rhombus
Question
15
15.
Find the coordinates of the points of trisection of the line segment
joining the points
(
(
−
7
)
,
(
−
4
)
)
and
(
(
−
5
)
,
(
−
8
)
)
(i)
(
(
−
19
3
)
,
(
−
16
3
)
)
,
(
(
−
17
3
)
,
(
−
20
3
)
)
(ii)
(
(
−
25
3
)
,
(
−
22
3
)
)
,
(
(
−
17
3
)
,
(
−
20
3
)
)
(iii)
(
(
−
16
3
)
,
(
−
19
3
)
)
,
(
(
−
17
3
)
,
(
−
20
3
)
)
(iv)
(
(
−
19
3
)
,
(
−
16
3
)
)
,
(
(
−
20
3
)
,
(
−
17
3
)
)
(v)
(
(
−
13
3
)
,
(
−
10
3
)
)
,
(
(
−
17
3
)
,
(
−
20
3
)
)
Question
16
16.
The coordinates of a point which is 5 units away from x-axis and 8 units away from y-axis in the fourth quadrant is
(i)
(
8
,
5
)
(ii)
(
(
−
8
)
,
5
)
(iii)
(
(
−
8
)
,
(
−
5
)
)
(iv)
(
(
−
5
)
,
8
)
(v)
(
8
,
(
−
5
)
)
Question
17
17.
Find the coordinates of the mid points of the sides of the triangle formed by
(
2
,
7
)
,
(
8
,
0
)
and
(
(
−
3
)
,
0
)
(i)
(
4
,
9
2
)
,
(
5
2
,
0
)
,
(
(
−
1
2
)
,
7
2
)
(ii)
(
5
,
7
2
)
,
(
5
2
,
0
)
,
(
1
2
,
5
2
)
(iii)
(
5
,
7
2
)
,
(
5
2
,
0
)
,
(
(
−
1
2
)
,
7
2
)
(iv)
(
5
,
7
2
)
,
(
5
2
,
0
)
,
(
(
−
5
2
)
,
3
2
)
(v)
(
5
,
7
2
)
,
(
9
2
,
2
)
,
(
(
−
1
2
)
,
7
2
)
Question
18
18.
In △PQR, if QR = 17 cm, RP = 14 cm and perimeter = 51 cm, then area of the triangle =
(i)
117.09 sq.cm
(ii)
131.09 sq.cm
(iii)
90.09 sq.cm
(iv)
102.09 sq.cm
(v)
134.09 sq.cm
Question
19
19.
A line which is neither parallel to x-axis nor y-axis is
(i)
a horizontal line
(ii)
a vertical line
(iii)
an oblique line
(iv)
a curved line
Question
20
20.
A and B are two points on the x-axis and y-axis respectively.
If
(
(
−
3
)
,
6
)
is the mid-point of the join of A and B, find A and B
(i)
(
(
−
6
)
,
0
)
,
(
0
,
12
)
(ii)
(
(
−
6
)
,
0
)
,
(
(
−
1
)
,
13
)
(iii)
(
(
−
8
)
,
(
−
2
)
)
,
(
0
,
12
)
(iv)
(
(
−
5
)
,
(
−
1
)
)
,
(
0
,
12
)
(v)
(
(
−
4
)
,
2
)
,
(
0
,
12
)
Question
21
21.
Which of the following are true?
a)
The abscissa of every point on y-axis is zero
b)
The ordinate of every point on y-axis is zero
c)
The abscissa of every point on x-axis is zero
d)
The ordinate of every point on x-axis is zero
(i)
{b,c,a}
(ii)
{a,d}
(iii)
{c,d}
(iv)
{b,a}
(v)
{b,d,a}
Question
22
22.
Find the set of points satisfying the equation
y
=
(
10
11
x
+
5
11
)
(i)
(
(
−
2
)
,
(
−
15
11
)
)
,
(
(
−
1
)
,
(
−
5
11
)
)
,
(
0
,
5
11
)
,
(
0
,
26
11
)
,
(
2
,
25
11
)
(ii)
(
(
−
2
)
,
(
−
15
11
)
)
,
(
(
−
1
)
,
(
−
5
11
)
)
,
(
0
,
5
11
)
,
(
1
,
15
11
)
,
(
4
,
47
11
)
(iii)
(
(
−
2
)
,
(
−
15
11
)
)
,
(
(
−
1
)
,
(
−
5
11
)
)
,
(
1
,
(
−
6
11
)
)
,
(
1
,
15
11
)
,
(
2
,
25
11
)
(iv)
(
(
−
2
)
,
(
−
15
11
)
)
,
(
(
−
1
)
,
(
−
5
11
)
)
,
(
0
,
5
11
)
,
(
1
,
15
11
)
,
(
2
,
25
11
)
(v)
(
(
−
2
)
,
(
−
15
11
)
)
,
(
(
−
1
)
,
(
−
5
11
)
)
,
(
(
−
2
)
,
(
−
17
11
)
)
,
(
1
,
15
11
)
,
(
2
,
25
11
)
Question
23
23.
Kajal has a triangular field with sides 170 m, 160 m and 80 m. She wanted to grow pumpkins and radish. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew pumpkins in one part and radish in the other part. How much area has been used for radish.
(i)
2916.45 sq.m
(ii)
3426.45 sq.m
(iii)
3146.45 sq.m
(iv)
3176.45 sq.m
(v)
3356.45 sq.m
Question
24
24.
Find the set of points satisfying the equation
y
=
(
−
9
)
(i)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
0
,
(
−
8
)
)
,
(
2
,
(
−
9
)
)
(ii)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
1
,
(
−
10
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(iii)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(iv)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
(
−
2
)
,
(
−
11
)
)
,
(
1
,
(
−
9
)
)
,
(
2
,
(
−
9
)
)
(v)
(
(
−
2
)
,
(
−
9
)
)
,
(
(
−
1
)
,
(
−
9
)
)
,
(
0
,
(
−
9
)
)
,
(
1
,
(
−
9
)
)
,
(
4
,
(
−
7
)
)
Question
25
25.
The y-coordinate of a point is also called as
(i)
x-axis
(ii)
origin
(iii)
abscissa
(iv)
y-axis
(v)
ordinate
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (iv)
5) (ii)
6) (iii)
7) (iii)
8) (i)
9) (v)
10) (v)
11) (iv)
12) (v)
13) (ii)
14) (v)
15) (i)
16) (v)
17) (iii)
18) (i)
19) (iii)
20) (i)
21) (ii)
22) (iv)
23) (iv)
24) (iii)
25) (v)
