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Byju's Answer
Standard XII
Mathematics
Polynomial Functions
if x=m+n+2m...
Question
if
x
=
m
+
n
+
2
m
−
n
−
2
,then formula of m is
m
=
(
n
+
2
)
(
x
+
1
)
x
−
1
?
A
True
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B
False
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Solution
The correct option is
A
True
Given,
x
=
m
+
n
+
2
m
−
n
−
2
m
x
−
n
x
−
2
x
=
m
+
n
+
2
⟹
m
x
−
m
=
n
x
+
2
x
+
n
+
2
⟹
m
(
x
−
1
)
=
(
n
+
2
)
(
x
+
1
)
⟹
m
=
(
n
+
2
)
(
x
+
1
)
x
−
1
Suggest Corrections
0
Similar questions
Q.
If
(
1
+
x
)
n
=
n
C
0
+
n
C
1
x
+
n
C
2
x
2
+
n
C
n
x
n
,
x
ϵ
N
then prove that
n
C
0
−
n
C
1
+
n
C
2
−
.
.
.
.
.
.
+
(
−
1
)
m
−
1
×
n
C
m
−
1
=
(
−
1
)
m
−
1
(
n
−
1
)
(
n
−
2
)
.
.
(
n
−
m
+
1
)
(
m
−
1
)
!
Q.
If
I
n
−
m
=
∫
s
i
n
n
x
c
o
s
m
x
d
x
then
I
n
−
m
+
n
−
,
1
m
−
1
I
n
−
2
,
2
−
m
is equal to -
Q.
If
(
1
+
x
)
n
=
C
0
+
C
1
x
+
C
2
x
2
+
⋯
+
C
n
x
n
,
n
∈
N
,
then for
2
≤
m
≤
n
,
C
0
−
C
1
+
C
2
−
⋯
+
[
(
−
1
)
m
−
1
]
C
m
−
1
is equal to
Q.
Solve
m
n
x
2
+
n
m
=
1
−
2
x
Q.
If
f
x
=
m
x
+
1
,
x
≤
π
2
sin
x
+
n
,
x
>
π
2
is continuous at
x
=
π
2
, then
(a) m = 1, n = 0
(b)
m
=
n
π
2
+
1
(c)
n
=
m
π
2
(d)
m
=
n
=
π
2
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