EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Two vertices of a triangle are
(
3
,
0
)
,
(
(
−
3
)
,
7
)
and its centriod is
(
(
−
2
)
,
14
3
)
. Find the coordinates of the third vertex of the triangle
(i)
(
6
,
(
−
7
)
)
(ii)
(
7
,
(
−
6
)
)
(iii)
(
6
,
7
)
(iv)
(
(
−
6
)
,
7
)
(v)
(
(
−
6
)
,
(
−
7
)
)
Question
2
2.
Which of the following is a point on the negative x-axis?
(i)
(
5
,
0
)
(ii)
(
0
,
(
−
4
)
)
(iii)
(
(
−
6
)
,
4
)
(iv)
(
(
−
1
)
,
0
)
(v)
(
0
,
9
)
Question
3
3.
Three vertices of a parallelogram are
(
(
−
6
)
,
(
−
5
)
)
,
(
2
,
(
−
5
)
)
and
(
4
,
(
−
2
)
)
.
Find the fourth vertex
(i)
(
(
−
2
)
,
0
)
(ii)
(
(
−
5
)
,
(
−
1
)
)
(iii)
(
(
−
3
)
,
(
−
3
)
)
(iv)
(
(
−
6
)
,
(
−
4
)
)
(v)
(
(
−
4
)
,
(
−
2
)
)
Question
4
4.
In △PQR, if QR = 14 cm, RP = 19 cm, PQ = 10 cm, then area of the triangle =
(i)
63.09 sq.cm
(ii)
65.09 sq.cm
(iii)
68.09 sq.cm
(iv)
71.09 sq.cm
(v)
73.09 sq.cm
Question
5
5.
Which of the following equations satisfy the given points
(
(
−
2
)
,
2
)
,
(
(
−
1
)
,
5
4
)
,
(
0
,
1
2
)
,
(
1
,
(
−
1
4
)
)
,
(
2
,
(
−
1
)
)
?
(i)
y
=
8
(ii)
y
=
(
−
17
6
x
+
41
3
)
(iii)
x
=
(
17
6
y
−
62
3
)
(iv)
(
−
17
x
−
6
y
−
31
)
=
0
(v)
(
3
x
+
4
y
−
2
)
=
0
Question
6
6.
Find the point that bisects
(
7
,
3
)
and
(
(
−
7
)
,
(
−
1
)
)
(i)
(
2
,
3
)
(ii)
(
1
,
0
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
(iv)
(
0
,
1
)
(v)
(
(
−
1
)
,
2
)
Question
7
7.
Any line parallel to y-axis is
(i)
a curved line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a vertical line
Question
8
8.
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)
(
y
1
−
y
2
2
,
x
1
−
x
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)
(
x
1
−
x
2
2
,
y
1
−
y
2
2
)
Question
9
9.
The slope of any line parallel to x-axis is
(i)
-1
(ii)
90
(iii)
1
(iv)
zero
(v)
undefined
Question
10
10.
The points
(
(
−
8
)
,
(
−
5
)
)
,
(
8
,
(
−
8
)
)
and
(
(
−
4
)
,
4
)
represent
(i)
scalene triangle
(ii)
equilateral triangle
(iii)
collinear points
(iv)
right angle triangle
(v)
isosceles triangle
Question
11
11.
The y-coordinate of a point is also called as
(i)
x-axis
(ii)
abscissa
(iii)
ordinate
(iv)
origin
(v)
y-axis
Question
12
12.
Find the distance between the points
(
6
,
(
−
1
)
)
and
(
(
−
2
)
,
(
−
1
)
)
(i)
5
(ii)
9
(iii)
11
(iv)
7
(v)
8
Question
13
13.
Find the set of points satisfying the equation
(
−
16
x
+
11
y
+
35
)
=
0
(i)
(
(
−
2
)
,
(
−
67
11
)
)
,
(
(
−
1
)
,
(
−
51
11
)
)
,
(
0
,
(
−
35
11
)
)
,
(
1
,
(
−
19
11
)
)
,
(
4
,
19
11
)
(ii)
(
(
−
2
)
,
(
−
67
11
)
)
,
(
(
−
1
)
,
(
−
51
11
)
)
,
(
1
,
(
−
46
11
)
)
,
(
1
,
(
−
19
11
)
)
,
(
2
,
(
−
3
11
)
)
(iii)
(
(
−
2
)
,
(
−
67
11
)
)
,
(
(
−
1
)
,
(
−
51
11
)
)
,
(
(
−
2
)
,
(
−
57
11
)
)
,
(
1
,
(
−
19
11
)
)
,
(
2
,
(
−
3
11
)
)
(iv)
(
(
−
2
)
,
(
−
67
11
)
)
,
(
(
−
1
)
,
(
−
51
11
)
)
,
(
0
,
(
−
35
11
)
)
,
(
1
,
(
−
19
11
)
)
,
(
2
,
(
−
3
11
)
)
(v)
(
(
−
2
)
,
(
−
67
11
)
)
,
(
(
−
1
)
,
(
−
51
11
)
)
,
(
0
,
(
−
35
11
)
)
,
(
0
,
(
−
8
11
)
)
,
(
2
,
(
−
3
11
)
)
Question
14
14.
The centroid of the triangle formed by the points
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
and
(
x
3
,
y
3
)
is
(i)
(
x
1
−
x
2
−
x
3
3
,
y
1
−
y
2
−
y
3
3
)
(ii)
(
y
1
−
y
2
−
y
3
2
,
x
1
−
x
2
−
x
3
2
)
(iii)
(
y
1
+
y
2
+
y
3
2
,
x
1
+
x
2
+
x
3
2
)
(iv)
(
x
1
−
x
2
−
x
3
2
,
y
1
−
y
2
−
y
3
2
)
(v)
(
x
1
+
x
2
+
x
3
3
,
y
1
+
y
2
+
y
3
3
)
Question
15
15.
Which of the points (6,5), (-8,7), (-2,-5) and (6,-2) belong to the fourth quadrant?
(i)
(
6
,
5
)
(ii)
(
6
,
(
−
2
)
)
(iii)
(
(
−
8
)
,
7
)
(iv)
(
(
−
2
)
,
(
−
5
)
)
Question
16
16.
If perimeter of an equilateral triangle 42 cm, the area of the equilateral triangle =
(i)
79.87 sq.cm
(ii)
87.87 sq.cm
(iii)
89.87 sq.cm
(iv)
81.87 sq.cm
(v)
84.87 sq.cm
Question
17
17.
Which of the following is a point on the negative y-axis?
(i)
(
(
−
6
)
,
4
)
(ii)
(
9
,
0
)
(iii)
(
(
−
7
)
,
0
)
(iv)
(
0
,
7
)
(v)
(
0
,
(
−
6
)
)
Question
18
18.
The slope of the line joining the points
(
1
,
1
)
and
(
(
−
2
)
,
2
)
is
(i)
1
3
(ii)
(
-1
5
)
(iii)
(
-1
3
)
(iv)
-1
Question
19
19.
Distance of the point (3,5) from y-axis is
(i)
2
(ii)
3
(iii)
5
(iv)
(
−
2
)
(v)
8
Question
20
20.
Find the value of k such that the points
(
(
−
7
)
,
6
)
,
(
(
−
5
)
,
28
5
)
and
(k,4)
are collinear
(i)
3
(ii)
4
(iii)
0
(iv)
6
(v)
2
Question
21
21.
Find the set of points satisfying the equation
(
4
x
+
2
y
−
1
)
=
0
(i)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
1
2
)
,
(
0
,
(
−
1
2
)
)
,
(
2
,
(
−
7
2
)
)
(ii)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
5
2
)
,
(
1
,
(
−
1
2
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
7
2
)
)
(iii)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
5
2
)
,
(
(
−
2
)
,
(
−
3
2
)
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
7
2
)
)
(iv)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
3
2
)
)
,
(
4
,
(
−
3
2
)
)
(v)
(
(
−
2
)
,
9
2
)
,
(
(
−
1
)
,
5
2
)
,
(
0
,
1
2
)
,
(
1
,
(
−
3
2
)
)
,
(
2
,
(
−
7
2
)
)
Question
22
22.
The points
(
(
−
7
)
,
(
−
2
)
)
,
(
8
,
(
−
8
)
)
and
(
(
1
2
+
3
√
3
)
,
(
−
5
+
15
2
√
3
)
)
represent
(i)
isosceles triangle
(ii)
scalene triangle
(iii)
right angled triangle
(iv)
equilateral triangle
Question
23
23.
Which of the following is a point on the positive y-axis?
(i)
(
0
,
(
−
7
)
)
(ii)
(
0
,
4
)
(iii)
(
(
−
1
)
,
0
)
(iv)
(
8
,
0
)
(v)
(
(
−
9
)
,
1
)
Question
24
24.
Find the area of the triangle
formed by the points
(
6
,
0
)
,
(
(
−
5
)
,
7
)
and
(
0
,
7
)
(i)
35
2
(ii)
18
(iii)
33
2
(iv)
69
4
(v)
37
2
Question
25
25.
Find the lengths of the medians of a triangle whose vertices are
(
(
−
5
)
,
5
)
,
(
(
−
7
)
,
8
)
and
(
(
−
6
)
,
2
)
(i)
1
2
√
37
,
1
2
√
10
,
1
2
√
13
(ii)
1
2
√
13
,
1
2
√
37
,
1
2
√
37
(iii)
3
2
,
3
2
√
10
,
9
2
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (iii)
5) (v)
6) (iv)
7) (iv)
8) (iv)
9) (iv)
10) (i)
11) (iii)
12) (v)
13) (iv)
14) (v)
15) (ii)
16) (v)
17) (v)
18) (iii)
19) (ii)
20) (i)
21) (v)
22) (iv)
23) (ii)
24) (i)
25) (iii)
