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Byju's Answer
Standard XII
Mathematics
Integrating Factor
The value of ...
Question
The value of
lim
x
→
1
x
m
−
1
x
n
−
1
is?
A
m
n
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B
n
m
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C
n
2
m
2
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D
m
2
n
2
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Solution
The correct option is
A
m
n
lim
x
→
1
x
m
−
1
x
n
−
1
=
lim
x
→
1
x
m
−
1
x
−
1
×
x
−
1
x
n
−
1
=
m
⋅
1
m
−
1
×
1
n
.
1
n
−
1
=
m
n
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0
Similar questions
Q.
If
m
2
+
m
′
2
+
2
m
m
′
cos
x
=
1
,
n
2
+
n
′
2
+
2
n
n
′
cos
x
=
1
and
m
n
+
m
′
n
′
+
(
m
n
′
+
m
′
n
)
cos
x
=
0
, prove that
(i)
m
2
+
n
2
=
c
o
sec
2
x
(ii)
m
′
2
+
n
′
2
=
c
o
sec
2
x
Q.
If a plane has
X
−
intercept
l
,
Y
−
intercept
m
and
Z
−
intercept
n
,
and perpendicular distance of plane from origin is
k
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then
Q.
If
m
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√
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and
n
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√
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+
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Q.
If
tan
θ
+
sin
θ
=
m
and
tan
θ
−
sin
θ
=
n
,
then which of the following relation between
m
,
n
is correct?
Q.
If
m
=
cos
A
−
sin
A
and
n
=
cos
A
+
sin
A
; show that
m
2
+
n
2
m
2
−
n
2
=
−
1
2
sec
A
.
cos
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