EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadratic Equations
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Find the discriminant of the quadratic equation
(
3
x
2
−
x
+
4
)
=
0
(i)
-49
(ii)
-47
(iii)
-46
(iv)
-48
(v)
-45
Question
2
2.
Solve :
48
x
2
b
2
+
70
a
2
x
b
+
25
a
4
= 0
(i)
−
5
a
2
6
b
,
−
5
a
2
8
b
(ii)
−
a
2
2
b
,
−
3
a
2
8
b
(iii)
−
7
a
2
6
b
,
−
7
a
2
8
b
(iv)
−
5
a
2
4
b
,
−
5
a
2
6
b
(v)
−
5
a
2
8
b
,
−
a
2
2
b
Question
3
3.
Find the quadratic equation, the sum of whose roots is
-2
and product is
-3
(i)
(
4
x
2
+
6
x
−
9
)
=
0
(ii)
(
3
x
2
+
4
x
−
9
)
=
0
(iii)
(
2
x
2
+
6
x
−
9
)
=
0
(iv)
(
3
x
2
+
6
x
−
9
)
=
0
(v)
(
3
x
2
+
8
x
−
9
)
=
0
Question
4
4.
Find the discriminant of the quadratic equation
(
x
2
+
7
x
+
12
)
=
0
(i)
4
(ii)
1
(iii)
0
(iv)
2
(v)
-1
Question
5
5.
Solve :
(
x
2
−
2
x
)
2
−
11
(
x
2
−
2
x
)
+
28
=
0
(i)
(
−
2
+
2
√
2
)
,
(
−
2
−
2
√
2
)
,
(
−
2
+
√
5
)
,
(
−
1
−
√
5
)
(ii)
(
1
+
2
4
√
2
)
,
(
1
−
2
4
√
2
)
,
(
1
+
4
√
5
)
,
(
1
−
4
√
5
)
(iii)
(
4
+
2
√
2
)
,
(
4
−
2
√
2
)
,
(
4
+
√
5
)
,
(
4
−
√
5
)
(iv)
(
1
+
4
)
,
(
1
−
4
)
,
(
1
+
5
)
,
(
1
−
5
)
(v)
(
1
+
2
√
2
)
,
(
1
−
2
√
2
)
,
(
1
+
√
5
)
,
(
1
−
√
5
)
Question
6
6.
The sum of the roots of the quadratic equation
(
40
x
2
+
53
x
+
9
)
=
0
is
(i)
(
-51
38
)
(ii)
(
-55
42
)
(iii)
(
-53
40
)
(iv)
(
-51
40
)
(v)
(
-11
8
)
Question
7
7.
Find the quadratic equation with roots
(
-2
,
-2
)
(i)
(
x
2
+
x
−
2
)
=
0
(ii)
(
x
2
+
3
x
+
2
)
=
0
(iii)
(
x
2
+
4
x
+
4
)
=
0
(iv)
(
x
2
+
5
x
+
6
)
=
0
(v)
(
x
2
+
6
x
+
8
)
=
0
Question
8
8.
Solve :
√
(
5
x
2
−
2
x
−
16
)
=
(
x
−
9
)
(i)
(
−
2
−
1
2
√
113
)
,
(
−
2
+
1
2
√
113
)
(ii)
(
−
2
−
1
2
√
339
)
,
(
−
2
+
1
2
√
339
)
(iii)
(
−
2
√
5
−
1
2
√
113
)
,
(
−
2
√
5
+
1
2
√
113
)
(iv)
(
−
2
√
4
−
1
2
√
113
)
,
(
−
2
√
4
+
1
2
√
113
)
(v)
(
−
2
−
1
2
√
226
)
,
(
−
2
+
1
2
√
226
)
Question
9
9.
Find the discriminant of the quadratic equation
(
x
2
−
2
x
+
1
)
=
0
(i)
0
(ii)
-3
(iii)
3
(iv)
1
(v)
-1
Question
10
10.
The sum of the roots of the quadratic equation
(
x
2
−
2
x
−
48
)
=
0
is
(i)
4
(ii)
0
(iii)
3
(iv)
1
(v)
2
Question
11
11.
Find the quadratic equation with roots
(
(
-7
3
)
,
(
-7
3
)
)
(i)
(
9
x
2
+
42
x
+
49
)
=
0
(ii)
(
3
x
2
+
28
x
+
49
)
=
0
(iii)
(
15
x
2
+
56
x
+
49
)
=
0
(iv)
(
9
x
2
+
36
x
+
35
)
=
0
(v)
(
3
x
2
+
16
x
+
21
)
=
0
Question
12
12.
Factorize
(
x
2
−
64
)
(i)
(
x
−
32
)
(
x
+
2
)
(ii)
(
x
+
8
)
(
x
+
8
)
(iii)
(
x
+
8
)
(
x
−
8
)
(iv)
(
x
+
32
)
(
x
−
2
)
(v)
(
x
−
8
)
(
x
−
8
)
Question
13
13.
Solve :
(
x
4
−
7
x
2
+
12
)
=
0
(i)
0
,
(
−
4
)
,
1
,
(
−
√
1
3
)
(ii)
1
,
(
−
3
)
,
3
,
(
−
3
)
(iii)
2
,
(
−
2
)
,
√
3
,
(
−
√
3
)
(iv)
4
,
0
,
√
6
,
(
−
√
6
)
(v)
3
,
(
−
1
)
,
4
√
3
,
(
−
4
√
3
)
Question
14
14.
A number is of two digits. The digit in unit's place is the square of the digit in ten's place. The number formed by reversing the digits exceeds twice the number by 15 . Find the number
(i)
39
(ii)
40
(iii)
41
(iv)
38
(v)
36
Question
15
15.
Solve :
16
x
2
+
4
x
+
12
x
b
+
3
b
= 0
(i)
−
3
4
,
−
b
(ii)
1
4
,
−
b
2
(iii)
−
1
4
,
−
3
b
4
(iv)
−
1
2
,
−
b
(v)
−
1
6
,
−
3
b
5
Question
16
16.
Solve :
3
x
2
+
13
√
3
x
+
42
=
0
(i)
(
−
7
)
√
3
,
(
−
6
)
√
3
(ii)
(
−
7
√
4
)
√
3
,
(
−
6
√
4
)
√
3
(iii)
(
−
7
)
√
3
,
(
−
6
)
√
12
(iv)
(
−
7
)
√
12
,
(
−
6
)
√
12
(v)
(
−
7
√
4
)
√
3
,
(
−
6
)
√
3
Question
17
17.
Find the number which is less than its square by 210
(i)
15
(ii)
12
(iii)
18
(iv)
16
(v)
14
Question
18
18.
Solve :
27
x
2
b
−
24
x
b
−
18
x
+
16
= 0
(i)
10
9
,
4
3
b
(ii)
8
7
,
2
b
(iii)
2
3
,
0
(iv)
8
11
,
2
5
b
(v)
8
9
,
2
3
b
Question
19
19.
Solve :
2
(
x
−
5
)
+
1
(
x
−
3
)
=
−
4
(i)
5
,
3
(ii)
5
√
3
,
3
√
3
(iii)
5
√
2
,
3
√
2
(iv)
5
√
5
,
3
√
5
(v)
5
√
4
,
3
√
4
Question
20
20.
The product of the roots of the quadratic equation
(
40
x
2
−
22
x
−
8
)
=
0
is
(i)
(
-1
5
)
(ii)
(
-3
5
)
(iii)
(
-1
3
)
(iv)
(
-1
7
)
(v)
1
5
Question
21
21.
Find the quadratic equation with roots
(
-7
,
9
)
(i)
(
x
2
−
3
x
−
70
)
=
0
(ii)
(
x
2
−
x
−
72
)
=
0
(iii)
(
x
2
−
2
x
−
63
)
=
0
(iv)
(
x
2
−
4
x
−
77
)
=
0
(v)
(
x
2
−
81
)
=
0
Question
22
22.
The product of the roots of the quadratic equation
(
x
2
−
17
x
+
72
)
=
0
is
(i)
75
(ii)
73
(iii)
71
(iv)
72
(v)
69
Question
23
23.
If
p
and
q
are the roots of
(
x
2
+
10
x
+
9
)
=
0
,
find the equation whose roots are
p
+
1
q
and
q
+
1
p
(i)
(
9
x
2
+
100
x
+
100
)
=
0
(ii)
(
3
x
2
+
34
x
+
40
)
=
0
(iii)
(
9
x
2
+
73
x
+
70
)
=
0
(iv)
(
9
x
2
+
91
x
+
90
)
=
0
(v)
(
7
x
2
+
78
x
+
80
)
=
0
Question
24
24.
Solve :
6
x
2
a
+
2
x
+
3
x
a
+
1
= 0
(i)
−
1
a
,
−
1
(ii)
1
3
a
,
1
2
(iii)
−
1
5
a
,
−
1
4
(iv)
−
1
3
a
,
−
1
2
(v)
−
1
a
,
−
3
2
Question
25
25.
The area of a rectangular room is 384.00 sq.m. If the length and breadth are increased by 9 m, the area would become 969.00 sq.m. Find the original dimensions of the room
(i)
4.00 m , 96.00 m
(ii)
2.00 m , 192.00 m
(iii)
48.00 m , 8.00 m
(iv)
3.00 m , 128.00 m
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (ii)
5) (v)
6) (iii)
7) (iii)
8) (i)
9) (i)
10) (v)
11) (i)
12) (iii)
13) (iii)
14) (i)
15) (iii)
16) (i)
17) (i)
18) (v)
19) (i)
20) (i)
21) (iii)
22) (iv)
23) (i)
24) (iv)
25) (iii)
