EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
A and B are two points on the x-axis and y-axis respectively.
If
(
(
−
5
)
,
(
−
8
)
)
is the mid-point of the join of A and B, find A and B
(i)
(
(
−
10
)
,
0
)
,
(
(
−
1
)
,
(
−
15
)
)
(ii)
(
(
−
12
)
,
(
−
2
)
)
,
(
0
,
(
−
16
)
)
(iii)
(
(
−
9
)
,
(
−
1
)
)
,
(
0
,
(
−
16
)
)
(iv)
(
(
−
8
)
,
2
)
,
(
0
,
(
−
16
)
)
(v)
(
(
−
10
)
,
0
)
,
(
0
,
(
−
16
)
)
Question
2
2.
Distance of the given point from x-axis is
(i)
7
(ii)
4
(iii)
12
(iv)
1
(v)
3
Question
3
3.
Which of the following sets of points are collinear?
(i)
(
(
−
5
)
,
8
)
,
(
(
−
5
)
,
(
−
1
)
)
,
(
1
,
8
)
(ii)
(
(
−
7
)
,
6
)
,
(
3
,
2
)
,
(
(
−
8
)
,
(
−
4
)
)
(iii)
(
(
−
2
)
,
(
−
1
)
)
,
(
3
,
8
)
,
(
1
,
4
)
(iv)
(
2
,
0
)
,
(
3
,
(
−
4
)
)
,
(
4
,
8
)
(v)
(
8
,
3
)
,
(
5
,
(
−
6
)
)
,
(
6
,
(
−
3
)
)
Question
4
4.
The mid-point of the join of points
(
(
−
3
)
,
0
)
and
(
(
−
2
)
,
0
)
is
(i)
(
(
−
7
2
)
,
1
)
(ii)
(
(
−
9
2
)
,
(
−
2
)
)
(iii)
(
(
−
1
2
)
,
2
)
(iv)
(
(
−
5
2
)
,
0
)
(v)
(
(
−
3
2
)
,
(
−
1
)
)
Question
5
5.
Any line parallel to x-axis is
(i)
a vertical line
(ii)
a horizontal line
(iii)
an oblique line
(iv)
a curved line
Question
6
6.
Find the value of k such that the points
(
(
−
6
)
,
(
−
2
)
)
,
(
(
−
37
7
)
,
3
)
and
(-5,k)
are collinear
(i)
5
(ii)
7
(iii)
6
(iv)
4
(v)
3
Question
7
7.
The slope of any line parallel to y-axis is
(i)
-1
(ii)
90
(iii)
undefined
(iv)
1
(v)
zero
Question
8
8.
Determine the quadrant of the displayed point
(i)
first quadrant
(ii)
third quadrant
(iii)
fourth quadrant
(iv)
second quadrant
Question
9
9.
Find the lengths of the sides of the triangle formed by the points
(
1
,
0
)
,
(
6
,
(
−
4
)
)
and
(
7
,
0
)
(i)
√
41
,
√
17
,
9
(ii)
4
√
41
,
√
17
,
6
(iii)
√
41
,
17
,
6
(iv)
√
41
,
√
17
,
6
Question
10
10.
The slope of x-axis is
(i)
0
(ii)
undefined
(iii)
-1
(iv)
90
(v)
1
Question
11
11.
Find the slope of the displayed line
(i)
-1
(ii)
-2
(iii)
-4
(iv)
-3
(v)
-5
Question
12
12.
Which of the following is a point on the negative x-axis?
(i)
(
5
,
0
)
(ii)
(
0
,
9
)
(iii)
(
(
−
6
)
,
0
)
(iv)
(
0
,
(
−
8
)
)
(v)
(
(
−
5
)
,
2
)
Question
13
13.
If perimeter of an equilateral triangle 54 cm, the area of the equilateral triangle =
(i)
147.30 sq.cm
(ii)
134.30 sq.cm
(iii)
165.30 sq.cm
(iv)
112.30 sq.cm
(v)
140.30 sq.cm
Question
14
14.
A triangular park has sides 180 m, 160 m and 200 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)
13278.82 sq.m
(ii)
15478.82 sq.m
(iii)
12178.82 sq.m
(iv)
14978.82 sq.m
(v)
13678.82 sq.m
Question
15
15.
Find the coordinates of the mid points of the sides of the triangle formed by
(
8
,
5
)
,
(
1
,
5
)
and
(
0
,
4
)
(i)
(
7
2
,
6
)
,
(
1
2
,
9
2
)
,
(
4
,
9
2
)
(ii)
(
9
2
,
5
)
,
(
5
2
,
13
2
)
,
(
4
,
9
2
)
(iii)
(
9
2
,
5
)
,
(
1
2
,
9
2
)
,
(
4
,
9
2
)
(iv)
(
9
2
,
5
)
,
(
1
2
,
9
2
)
,
(
2
,
5
2
)
(v)
(
9
2
,
5
)
,
(
1
2
,
9
2
)
,
(
5
,
7
2
)
Question
16
16.
Find the perimeter of the triangle formed by the points
(
(
−
7
)
,
(
−
8
)
)
,
(
0
,
4
)
and
(
4
,
4
)
(i)
(
√
193
+
4
+
4
√
265
)
(ii)
(
√
193
+
2
+
√
265
)
(iii)
(
√
193
+
4
+
√
265
)
(iv)
(
√
193
+
4
+
265
)
(v)
(
√
193
+
7
+
√
265
)
Question
17
17.
The coordinates of the origin are
(i)
(
0
,
9
)
(ii)
(
0
,
0
)
(iii)
(
1
,
1
)
(iv)
(
4
,
0
)
(v)
(
1
,
0
)
Question
18
18.
If point P
(
(
−
133
6
)
,
5
)
is equidistant from the points
(a,2)
and
(
(
−
5
)
,
(
−
6
)
)
, find a
(i)
-3
(ii)
-2
(iii)
-1
(iv)
-5
(v)
0
Question
19
19.
The points
(
(
−
6
)
,
(
−
1
)
)
,
(
(
−
3
)
,
3
)
,
(
1
,
0
)
and
(
(
−
2
)
,
(
−
4
)
)
represent
(i)
square
(ii)
trapezium
(iii)
rectangle
(iv)
rhombus
(v)
parallelogram
Question
20
20.
The points
(
(
−
2
)
,
(
−
1
)
)
,
(
6
,
(
−
1
)
)
and
(
6
,
4
)
represent
(i)
equilateral triangle
(ii)
isosceles right angled triangle
(iii)
right angle triangle
(iv)
scalene triangle
(v)
collinear points
Question
21
21.
The points
(
(
−
6
)
,
(
−
3
)
)
,
(
8
,
(
−
2
)
)
and
(
6
,
(
−
2
)
)
represent
(i)
right angle triangle
(ii)
isosceles triangle
(iii)
scalene triangle
(iv)
collinear points
(v)
equilateral triangle
Question
22
22.
The x-coordinate of a point is also called as
(i)
x-axis
(ii)
y-axis
(iii)
abscissa
(iv)
origin
(v)
ordinate
Question
23
23.
The slope of any line parallel to x-axis is
(i)
90
(ii)
-1
(iii)
undefined
(iv)
1
(v)
zero
Question
24
24.
Which of the following are true?
a)
Slope of any line parallel to x-axis is not defined
b)
Slope of any line parallel to x-axis is zero
c)
Slope of any line parallel to y-axis is not defined
d)
Slope of any line parallel to y-axis is zero
(i)
{a,d,b}
(ii)
{a,c,b}
(iii)
{a,b}
(iv)
{b,c}
(v)
{d,c}
Question
25
25.
Equation of the line passing through a given point
(
x
1
,
y
1
)
and having slope
m
is
a)
None of the above
b)
(
y
−
y
1
)
m
= (
x
−
x
1
)
c)
(
y
−
x
1
) =
m
(
x
−
y
1
)
d)
(
y
−
y
1
) =
m
(
x
−
x
1
)
(i)
{c,a,d}
(ii)
{b,d}
(iii)
{d}
(iv)
{a,d}
Assignment Key
1) (v)
2) (ii)
3) (v)
4) (iv)
5) (ii)
6) (i)
7) (iii)
8) (i)
9) (iv)
10) (i)
11) (iv)
12) (iii)
13) (v)
14) (v)
15) (iii)
16) (iii)
17) (ii)
18) (ii)
19) (i)
20) (iii)
21) (iii)
22) (iii)
23) (v)
24) (iv)
25) (iii)
