EduSahara™ Assignment
Name : Quadratic Equations
Chapter : Quadratic Equations
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Find the discriminant of the quadratic equation
(
x
2
+
3
x
−
4
)
=
0
(i)
25
(ii)
22
(iii)
27
(iv)
26
(v)
24
Question
2
2.
Find the discriminant of the quadratic equation
(
3
x
2
+
2
x
)
=
0
(i)
1
(ii)
5
(iii)
6
(iv)
3
(v)
4
Question
3
3.
Find the discriminant of the quadratic equation
(
x
2
−
2
x
+
12
)
=
0
(i)
-45
(ii)
-43
(iii)
-47
(iv)
-41
(v)
-44
Question
4
4.
Find the discriminant of the quadratic equation
(
16
x
2
−
8
x
+
7
)
=
0
(i)
-386
(ii)
-385
(iii)
-381
(iv)
-384
(v)
-383
Question
5
5.
Find the discriminant of the quadratic equation
(
x
2
−
2
x
+
1
)
=
0
(i)
0
(ii)
-1
(iii)
1
(iv)
-3
(v)
2
Question
6
6.
Find the discriminant of the quadratic equation
(
16
x
2
−
24
x
+
9
)
=
0
(i)
0
(ii)
1
(iii)
2
(iv)
-1
(v)
-2
Question
7
7.
Find the roots of the quadratic equation
(
x
2
−
8
x
+
15
)
=
0
(i)
(
8
,
0
)
(ii)
(
6
,
2
)
(iii)
(
5
,
3
)
(iv)
(
6
,
3
)
(v)
(
8
,
2
)
Question
8
8.
Find the roots of the quadratic equation
(
x
2
+
9
x
+
8
)
=
0
(i)
(
1
,
-9
)
(ii)
(
0
,
-8
)
(iii)
(
1
,
-11
)
(iv)
(
0
,
-9
)
(v)
(
-1
,
-8
)
Question
9
9.
Find the roots of the quadratic equation
(
10
x
2
−
30
x
+
20
)
=
0
(i)
(
5
,
-1
)
(ii)
(
2
,
1
)
(iii)
(
5
,
0
)
(iv)
(
3
,
0
)
(v)
(
3
,
1
)
Question
10
10.
Find the roots of the quadratic equation
(
25
x
2
−
40
x
+
16
)
=
0
(i)
(
4
5
,
4
5
)
(ii)
(
6
5
,
4
3
)
(iii)
(
6
5
,
2
5
)
(iv)
(
4
7
,
4
3
)
(v)
(
4
7
,
4
5
)
Question
11
11.
The sum of the roots of the quadratic equation
(
x
2
−
10
x
+
25
)
=
0
is
(i)
11
(ii)
8
(iii)
10
(iv)
12
(v)
9
Question
12
12.
The sum of the roots of the quadratic equation
(
x
2
−
6
x
)
=
0
is
(i)
7
(ii)
5
(iii)
6
(iv)
4
(v)
9
Question
13
13.
The sum of the roots of the quadratic equation
(
4
x
2
+
36
x
+
81
)
=
0
is
(i)
-6
(ii)
-9
(iii)
-10
(iv)
-8
(v)
-12
Question
14
14.
The sum of the roots of the quadratic equation
(
−
15
x
2
+
5
x
+
10
)
=
0
is
(i)
1
5
(ii)
(
-1
3
)
(iii)
1
3
(iv)
1
Question
15
15.
The product of the roots of the quadratic equation
x
2
=
0
is
(i)
-1
(ii)
0
(iii)
-3
(iv)
1
(v)
3
Question
16
16.
The product of the roots of the quadratic equation
(
x
2
−
2
x
−
63
)
=
0
is
(i)
-64
(ii)
-63
(iii)
-62
(iv)
-61
(v)
-65
Question
17
17.
The product of the roots of the quadratic equation
(
64
x
2
−
144
x
+
81
)
=
0
is
(i)
79
62
(ii)
83
66
(iii)
81
64
(iv)
83
64
(v)
79
64
Question
18
18.
The product of the roots of the quadratic equation
(
7
x
2
−
8
x
+
1
)
=
0
is
(i)
1
7
(ii)
1
5
(iii)
1
9
(iv)
(
-1
7
)
(v)
3
7
Question
19
19.
Find the roots of the quadratic equation
(
2
x
2
+
4
x
−
1
)
=
0
(i)
(
(
1
+
1
2
√
6
)
,
(
−
4
−
1
2
√
6
)
)
(ii)
(
(
−
1
+
1
2
4
√
6
)
,
(
−
1
−
1
2
√
6
)
)
(iii)
(
(
−
1
+
1
2
4
√
6
)
,
(
−
1
−
3
)
)
(iv)
(
(
1
+
1
2
√
6
)
,
(
−
1
−
3
)
)
(v)
(
(
−
1
+
1
2
√
6
)
,
(
−
1
−
1
2
√
6
)
)
Question
20
20.
Find the quadratic equation whose roots are
(
1
+
9
√
6
)
and
(
1
−
9
√
6
)
(i)
(
x
2
−
485
)
=
0
(ii)
(
x
2
−
4
x
−
485
)
=
0
(iii)
(
x
2
−
2
x
−
485
)
=
0
(iv)
(
2
x
2
−
2
x
−
485
)
=
0
(v)
(
−
2
x
−
485
)
=
0
Question
21
21.
Find the quadratic equation with roots
(
4
9
,
4
9
)
(i)
(
81
x
2
−
72
x
+
16
)
=
0
(ii)
(
81
x
2
−
54
x
+
8
)
=
0
(iii)
(
99
x
2
−
80
x
+
16
)
=
0
(iv)
(
63
x
2
−
64
x
+
16
)
=
0
(v)
(
27
x
2
−
30
x
+
8
)
=
0
Question
22
22.
Find the quadratic equation with roots
(
7
2
,
2
3
)
(i)
(
6
x
2
−
29
x
+
28
)
=
0
(ii)
(
10
x
2
−
39
x
+
14
)
=
0
(iii)
(
6
x
2
−
19
x
+
10
)
=
0
(iv)
(
3
x
2
−
23
x
+
14
)
=
0
(v)
(
6
x
2
−
25
x
+
14
)
=
0
Question
23
23.
Find the quadratic equation with roots
(
4
,
4
)
(i)
(
x
2
−
7
x
+
12
)
=
0
(ii)
(
x
2
−
9
x
+
20
)
=
0
(iii)
(
x
2
−
8
x
+
16
)
=
0
(iv)
(
x
2
−
6
x
+
8
)
=
0
(v)
(
x
2
−
10
x
+
24
)
=
0
Question
24
24.
Find the quadratic equation with roots
(
-7
,
9
)
(i)
(
x
2
−
3
x
−
70
)
=
0
(ii)
(
x
2
−
2
x
−
63
)
=
0
(iii)
(
x
2
−
5
x
−
84
)
=
0
(iv)
(
x
2
−
81
)
=
0
(v)
(
x
2
−
x
−
72
)
=
0
Question
25
25.
Find the quadratic equation, the sum of whose roots is
-18
and product is
81
(i)
(
x
2
+
20
x
+
81
)
=
0
(ii)
(
x
2
+
18
x
+
81
)
=
0
(iii)
(
x
2
+
15
x
+
81
)
=
0
(iv)
(
2
x
2
+
18
x
+
81
)
=
0
(v)
(
18
x
+
81
)
=
0
Question
26
26.
Find the quadratic equation, the sum of whose roots is
-4
and product is
-21
(i)
(
2
x
2
+
4
x
−
21
)
=
0
(ii)
(
4
x
−
21
)
=
0
(iii)
(
x
2
+
2
x
−
21
)
=
0
(iv)
(
x
2
+
6
x
−
21
)
=
0
(v)
(
x
2
+
4
x
−
21
)
=
0
Question
27
27.
Find the quadratic equation, the sum of whose roots is
5
2
and product is
25
16
(i)
(
16
x
2
−
40
x
+
25
)
=
0
(ii)
(
16
x
2
−
42
x
+
25
)
=
0
(iii)
(
17
x
2
−
40
x
+
25
)
=
0
(iv)
(
16
x
2
−
38
x
+
25
)
=
0
(v)
(
15
x
2
−
40
x
+
25
)
=
0
Question
28
28.
Find the quadratic equation, the sum of whose roots is
(
-10
7
)
and product is
24
49
(i)
(
−
49
x
2
−
72
x
−
24
)
=
0
(ii)
(
−
49
x
2
−
70
x
−
24
)
=
0
(iii)
(
−
49
x
2
−
67
x
−
24
)
=
0
(iv)
(
−
50
x
2
−
70
x
−
24
)
=
0
(v)
(
−
48
x
2
−
70
x
−
24
)
=
0
Assignment Key
1) (i)
2) (v)
3) (v)
4) (iv)
5) (i)
6) (i)
7) (iii)
8) (v)
9) (ii)
10) (i)
11) (iii)
12) (iii)
13) (ii)
14) (iii)
15) (ii)
16) (ii)
17) (iii)
18) (i)
19) (v)
20) (iii)
21) (i)
22) (v)
23) (iii)
24) (ii)
25) (ii)
26) (v)
27) (i)
28) (ii)
