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Standard XII
Mathematics
Derivative of Standard Functions
if alpha and ...
Question
if alpha and beta are the roots of the equation e^2 . x^ lnx with alpha>beta such that alpha6m = beta^n is true where m and n are coprime to each other then value of m*n is
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Q.
If
α
and
β
are the roots of the equation
x
2
−
2
x
+
4
=
0
, such that
α
n
+
β
n
=
2
k
cos
n
π
3
, then value of
k
is
Q.
If
α
,
β
are the roots of the equation
u
2
−
2
u
+
2
=
0
and if
cot
θ
=
x
+
1
, then
[
(
x
+
α
)
n
−
(
x
+
β
)
m
]
/
[
α
−
β
]
is equal to
Q.
If
α
and
β
are the roots of the quadratic equation
(
l
−
m
)
x
2
+
(
m
−
n
)
x
+
(
n
−
l
)
=
0
and 2l =m+n, then what is the relation between
α
and
β
?
Q.
If
α
and
β
are the roots of the equation
x
2
−
a
x
+
b
=
0
and
A
n
=
α
n
+
β
n
, then which of the following is true?
Q.
Find the equation whose roots are
(
α
+
β
)
2
a
n
d
(
α
−
β
)
2
,
where
α
and
β
are the roots of
2
x
2
+
2
(
m
+
n
)
x
+
(
m
2
+
n
2
)
=
0.
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