EduSahara™ Assignment
Name : Quadratic Equations Miscellaneous
Chapter : Quadratic Equations
Grade : CBSE Grade X
License : Non Commercial Use
Question
1
1.
Solve :
(
30
x
+
1
)
(
8
x
+
2
)
=
(
11
x
+
2
)
(
3
x
+
1
)
(i)
(
2
,
-1
)
(ii)
(
-3
,
1
2
)
(iii)
(
3
,
(
-1
2
)
)
(iv)
(
5
,
1
2
)
(v)
(
1
,
(
-3
2
)
)
Question
2
2.
Solve :
(
x
+
1
)
(
5
x
+
1
)
+
(
6
x
+
1
)
(
3
x
+
1
)
=
164
77
(i)
(
5
,
(
-1
27
)
)
(ii)
(
1
,
(
-5
79
)
)
(iii)
(
0
,
(
-7
81
)
)
(iv)
(
2
,
(
-5
81
)
)
(v)
(
3
,
(
-5
83
)
)
Question
3
3.
Solve :
(
x
2
−
8
x
)
2
−
5
(
x
2
−
8
x
)
+
6
=
0
(i)
(
4
+
19
)
,
(
4
−
19
)
,
(
4
+
6
)
,
(
4
−
6
)
(ii)
(
7
+
√
19
)
,
(
6
−
√
19
)
,
(
6
+
3
√
2
)
,
(
7
−
3
√
2
)
(iii)
(
4
+
√
19
)
,
(
4
−
√
19
)
,
(
4
+
3
√
2
)
,
(
4
−
3
√
2
)
(iv)
(
4
+
4
√
19
)
,
(
4
−
4
√
19
)
,
(
4
+
3
4
√
2
)
,
(
4
−
3
4
√
2
)
(v)
(
2
+
√
19
)
,
(
2
−
√
19
)
,
(
1
+
3
√
2
)
,
(
1
−
3
√
2
)
Question
4
4.
Solve :
(
x
4
−
9
x
2
+
8
)
=
0
(i)
2
√
1
2
,
(
−
2
√
-1
)
,
(
−
1
)
,
(
−
4
)
(ii)
2
√
2
,
(
−
2
√
2
)
,
1
,
(
−
1
)
(iii)
2
4
√
2
,
(
−
2
4
√
2
)
,
2
,
0
(iv)
4
,
(
−
4
)
,
0
,
(
−
2
)
(v)
2
√
4
,
(
−
2
√
4
)
,
3
,
1
Question
5
5.
Solve :
(
x
+
6
)
(
x
+
7
)
(
x
+
8
)
(
x
+
9
)
=
7920
(i)
1
,
(
−
18
)
(ii)
4
,
(
−
14
)
(iii)
2
,
(
−
17
)
(iv)
(
−
1
)
,
(
−
20
)
(v)
3
,
(
−
16
)
Question
6
6.
For what values of
k
are the roots of
(
k
−
48
)
x
2
+
(
k
−
35
)
x
+
k
=
0
equal
(i)
(
(
−
23
3
)
,
48
)
(ii)
(
(
−
23
3
)
,
47
)
(iii)
(
(
−
41
5
)
,
49
)
(iv)
(
(
−
25
3
)
,
49
)
(v)
(
(
−
41
5
)
,
48
)
Question
7
7.
If
p
and
q
are the roots of
(
x
2
+
6
x
−
16
)
=
0
,
find the equation whose roots are
p
+
1
q
and
q
+
1
p
(i)
(
16
x
2
+
86
x
−
255
)
=
0
(ii)
(
16
x
2
+
90
x
−
225
)
=
0
(iii)
(
20
x
2
+
116
x
−
255
)
=
0
(iv)
(
8
x
2
+
49
x
−
120
)
=
0
(v)
(
16
x
2
+
106
x
−
255
)
=
0
Question
8
8.
If
-2
is the root of
(
x
2
+
k
x
−
14
)
=
0
, find
k
and the other root
(i)
k
=
-7
, and the other root =
5
(ii)
k
=
-4
, and the other root =
8
(iii)
k
=
-6
, and the other root =
6
(iv)
k
=
-5
, and the other root =
7
(v)
k
=
-2
, and the other root =
10
Question
9
9.
If
a
x
2
+
b
x
+
c
is exactly divisible by
(
x
−
4
)
,
(
x
−
6
)
and leaves a remainder of
99
when divided by
(
x
+
5
)
, find
a
,
b
and
c
(i)
a
=
1
,
b
=
-10
,
c
=
24
(ii)
a
=
1
,
b
=
-11
,
c
=
23
(iii)
a
=
1
,
b
=
-9
,
c
=
25
(iv)
a
=
1
,
b
=
-7
,
c
=
26
(v)
a
=
1
,
b
=
-12
,
c
=
22
Question
10
10.
Find
a
and
b
in order that
(
x
3
−
12
x
2
)
+
(
a
x
+
b
)
may be exactly divisible by
(
x
2
−
9
x
+
8
)
(i)
a
=
32
,
b
=
-27
(ii)
a
=
34
,
b
=
-25
(iii)
a
=
35
,
b
=
-24
(iv)
a
=
36
,
b
=
-23
(v)
a
=
38
,
b
=
-22
Question
11
11.
Find the quadratic equation with roots
(
1
4
,
1
4
)
(i)
(
16
x
2
−
8
x
+
1
)
=
0
(ii)
(
16
x
2
−
1
)
=
0
(iii)
(
8
x
2
−
6
x
+
1
)
=
0
(iv)
(
24
x
2
−
10
x
+
1
)
=
0
(v)
(
16
x
2
−
16
x
+
3
)
=
0
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (ii)
5) (iii)
6) (iv)
7) (ii)
8) (iv)
9) (i)
10) (iii)
11) (i)
