EduSahara™ Assignment
Name : Quadratic Equations
Chapter : Quadratic Equations
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Find the discriminant of the quadratic equation
(
x
2
−
2
x
)
=
0
(i)
4
(ii)
3
(iii)
7
(iv)
5
(v)
1
Question
2
2.
Find the discriminant of the quadratic equation
(
−
2
x
2
−
12
x
−
16
)
=
0
(i)
13
(ii)
16
(iii)
15
(iv)
17
(v)
18
Question
3
3.
Find the discriminant of the quadratic equation
(
x
2
+
x
+
5
)
=
0
(i)
-18
(ii)
-17
(iii)
-19
(iv)
-21
(v)
-20
Question
4
4.
Find the discriminant of the quadratic equation
(
8
x
2
+
18
x
+
22
)
=
0
(i)
-377
(ii)
-380
(iii)
-382
(iv)
-379
(v)
-381
Question
5
5.
Find the discriminant of the quadratic equation
(
x
2
+
10
x
+
25
)
=
0
(i)
1
(ii)
0
(iii)
-2
(iv)
-1
(v)
3
Question
6
6.
Find the discriminant of the quadratic equation
(
4
x
2
+
16
x
+
16
)
=
0
(i)
-2
(ii)
3
(iii)
0
(iv)
1
(v)
-1
Question
7
7.
Find the roots of the quadratic equation
(
x
2
−
11
x
+
30
)
=
0
(i)
(
9
,
4
)
(ii)
(
7
,
5
)
(iii)
(
9
,
2
)
(iv)
(
6
,
5
)
(v)
(
7
,
4
)
Question
8
8.
Find the roots of the quadratic equation
(
x
2
+
12
x
+
35
)
=
0
(i)
(
-3
,
-10
)
(ii)
(
-3
,
-8
)
(iii)
(
-4
,
-7
)
(iv)
(
-5
,
-7
)
(v)
(
-4
,
-8
)
Question
9
9.
Find the roots of the quadratic equation
(
36
x
2
−
1
)
=
0
(i)
(
1
2
,
(
-1
4
)
)
(ii)
(
1
6
,
(
-1
6
)
)
(iii)
(
1
8
,
(
-1
4
)
)
(iv)
(
1
8
,
(
-1
6
)
)
(v)
(
1
2
,
(
-1
2
)
)
Question
10
10.
Find the roots of the quadratic equation
(
20
x
2
−
9
x
+
1
)
=
0
(i)
(
3
4
,
1
3
)
(ii)
(
1
6
,
1
3
)
(iii)
(
1
6
,
1
5
)
(iv)
(
3
4
,
(
-1
5
)
)
(v)
(
1
4
,
1
5
)
Question
11
11.
The sum of the roots of the quadratic equation
(
x
2
+
2
x
+
1
)
=
0
is
(i)
-1
(ii)
-4
(iii)
-2
(iv)
-3
(v)
0
Question
12
12.
The sum of the roots of the quadratic equation
(
x
2
−
6
x
+
9
)
=
0
is
(i)
6
(ii)
8
(iii)
5
(iv)
4
(v)
7
Question
13
13.
The sum of the roots of the quadratic equation
(
64
x
2
−
112
x
+
49
)
=
0
is
(i)
5
2
(ii)
3
2
(iii)
7
4
(iv)
5
4
(v)
9
4
Question
14
14.
The sum of the roots of the quadratic equation
(
−
42
x
2
+
15
x
+
3
)
=
0
is
(i)
1
2
(ii)
5
14
(iii)
5
16
(iv)
5
12
(v)
3
14
Question
15
15.
The product of the roots of the quadratic equation
(
x
2
−
14
x
+
49
)
=
0
is
(i)
48
(ii)
46
(iii)
50
(iv)
51
(v)
49
Question
16
16.
The product of the roots of the quadratic equation
(
x
2
+
13
x
+
36
)
=
0
is
(i)
37
(ii)
35
(iii)
33
(iv)
36
(v)
38
Question
17
17.
The product of the roots of the quadratic equation
(
25
x
2
+
80
x
+
64
)
=
0
is
(i)
62
25
(ii)
60
23
(iii)
68
27
(iv)
66
25
(v)
64
25
Question
18
18.
The product of the roots of the quadratic equation
(
10
x
2
−
28
x
+
18
)
=
0
is
(i)
7
3
(ii)
7
5
(iii)
9
5
(iv)
11
5
(v)
11
7
Question
19
19.
Find the roots of the quadratic equation
(
−
4
x
2
+
x
+
6
)
=
0
(i)
(
(
1
8
−
1
8
4
√
97
)
,
(
1
8
+
97
8
)
)
(ii)
(
(
3
8
−
1
8
√
97
)
,
(
−
1
8
+
1
8
√
97
)
)
(iii)
(
(
1
8
−
1
8
4
√
97
)
,
(
1
8
+
1
8
√
97
)
)
(iv)
(
(
1
8
−
1
8
√
97
)
,
(
1
8
+
1
8
√
97
)
)
(v)
(
(
3
8
−
1
8
√
97
)
,
(
1
8
+
97
8
)
)
Assignment Key
1) (i)
2) (ii)
3) (iii)
4) (ii)
5) (ii)
6) (iii)
7) (iv)
8) (iv)
9) (ii)
10) (v)
11) (iii)
12) (i)
13) (iii)
14) (ii)
15) (v)
16) (iv)
17) (v)
18) (iii)
19) (iv)