EduSahara™ Assignment
Name : Quadratic Equations Miscellaneous
Chapter : Quadratic Equations
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Solve :
(
5
x
+
10
)
(
2
x
+
4
)
=
(
x
+
4
)
(
x
−
5
)
(i)
(
10
,
-3
)
(ii)
(
11
,
-2
)
(iii)
(
9
,
-4
)
(iv)
(
-11
,
2
)
(v)
(
14
,
0
)
Question
2
2.
Solve :
(
x
−
6
)
(
x
−
8
)
+
(
x
−
2
)
(
x
−
10
)
=
76
15
(i)
(
192
23
,
15
)
(ii)
(
190
23
,
13
)
(iii)
(
206
25
,
14
)
(iv)
(
58
7
,
12
)
(v)
(
188
23
,
11
)
Question
3
3.
Solve :
(
x
2
−
7
x
)
2
−
11
(
x
2
−
7
x
)
+
28
=
0
(i)
(
7
2
+
1
2
√
77
)
,
(
7
2
−
1
2
√
77
)
,
(
7
2
+
1
2
√
65
)
,
(
7
2
−
1
2
√
65
)
(ii)
(
5
2
+
1
2
√
77
)
,
(
5
2
−
1
2
√
77
)
,
(
5
2
+
1
2
√
65
)
,
(
5
2
−
1
2
√
65
)
(iii)
(
9
2
+
1
2
√
77
)
,
(
9
2
−
1
2
√
77
)
,
(
9
2
+
1
2
√
65
)
,
(
9
2
−
1
2
√
65
)
(iv)
(
7
2
+
1
2
4
√
77
)
,
(
7
2
−
1
2
4
√
77
)
,
(
7
2
+
1
2
4
√
65
)
,
(
7
2
−
1
2
4
√
65
)
(v)
(
7
2
+
77
2
)
,
(
7
2
−
77
2
)
,
(
7
2
+
65
2
)
,
(
7
2
−
65
2
)
Question
4
4.
Solve :
(
x
4
−
12
x
2
+
27
)
=
0
(i)
3
,
(
−
3
)
,
√
3
,
(
−
√
3
)
(ii)
5
,
0
,
√
5
,
(
−
√
5
)
(iii)
2
,
(
−
4
)
,
3
,
(
−
3
)
(iv)
0
,
(
−
5
)
,
1
,
(
−
1
)
(v)
4
,
(
−
2
)
,
4
√
3
,
(
−
4
√
3
)
Question
5
5.
Solve :
(
x
−
8
)
(
x
−
7
)
(
x
−
6
)
(
x
−
5
)
=
7920
(i)
16
,
(
−
3
)
(ii)
15
,
(
−
4
)
(iii)
17
,
(
−
2
)
(iv)
19
,
0
(v)
13
,
(
−
5
)
Question
6
6.
For what values of
k
are the roots of
(
k
+
2
)
x
2
+
(
k
+
2
)
x
+
(
k
−
46
)
=
0
equal
(i)
(
0
,
60
)
(ii)
(
0
,
61
)
(iii)
(
(
−
1
)
,
62
)
(iv)
(
(
−
1
)
,
61
)
(v)
(
(
−
2
)
,
62
)
Question
7
7.
If
p
and
q
are the roots of
(
x
2
−
18
x
+
81
)
=
0
,
find the equation whose roots are
p
+
1
q
and
q
+
1
p
(i)
(
99
x
2
−
1802
x
+
8200
)
=
0
(ii)
(
81
x
2
−
1476
x
+
6724
)
=
0
(iii)
(
63
x
2
−
1150
x
+
5248
)
=
0
(iv)
(
27
x
2
−
498
x
+
2296
)
=
0
(v)
(
81
x
2
−
1458
x
+
6560
)
=
0
Question
8
8.
If
-3
is the root of
(
x
2
+
k
x
+
3
)
=
0
, find
k
and the other root
(i)
k
=
4
, and the other root =
-1
(ii)
k
=
5
, and the other root =
0
(iii)
k
=
1
, and the other root =
-4
(iv)
k
=
3
, and the other root =
-2
(v)
k
=
6
, and the other root =
2
Question
9
9.
If
a
x
2
+
b
x
+
c
is exactly divisible by
(
x
+
4
)
,
(
x
+
5
)
and leaves a remainder of
2
when divided by
(
x
+
6
)
, find
a
,
b
and
c
(i)
a
=
1
,
b
=
8
,
c
=
19
(ii)
a
=
1
,
b
=
10
,
c
=
21
(iii)
a
=
1
,
b
=
9
,
c
=
20
(iv)
a
=
1
,
b
=
11
,
c
=
22
(v)
a
=
1
,
b
=
6
,
c
=
18
Question
10
10.
Find
a
and
b
in order that
(
x
3
−
18
x
2
)
+
(
a
x
+
b
)
may be exactly divisible by
(
x
2
−
16
x
+
63
)
(i)
a
=
95
,
b
=
-126
(ii)
a
=
94
,
b
=
-127
(iii)
a
=
96
,
b
=
-125
(iv)
a
=
93
,
b
=
-129
(v)
a
=
98
,
b
=
-123
Question
11
11.
Find the quadratic equation with roots
(
5
6
,
5
6
)
(i)
(
36
x
2
−
60
x
+
25
)
=
0
(ii)
(
36
x
2
−
72
x
+
35
)
=
0
(iii)
(
12
x
2
−
16
x
+
5
)
=
0
(iv)
(
24
x
2
−
50
x
+
25
)
=
0
(v)
(
48
x
2
−
70
x
+
25
)
=
0
Assignment Key
1) (ii)
2) (ii)
3) (i)
4) (i)
5) (i)
6) (v)
7) (ii)
8) (i)
9) (iii)
10) (i)
11) (i)
