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Standard XII
Mathematics
Question
The value of
lim
α
→
β
[
sin
2
α
−
sin
2
β
α
2
−
β
2
]
is:
1
0
sin
2
β
2
β
sin
β
β
A
1
B
sin
β
β
C
0
D
sin
2
β
2
β
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Solution
Verified by Toppr
lim
α
→
β
[
sin
2
α
−
sin
2
β
α
2
−
β
2
]
=
lim
α
→
β
[
sin
(
α
−
β
)
sin
(
α
+
β
)
(
α
−
β
)
(
α
+
β
)
]
=
lim
α
→
β
[
sin
(
α
−
β
)
(
α
−
β
)
]
×
lim
α
→
β
[
sin
(
α
+
β
)
(
α
+
β
)
]
=
lim
α
−
β
→
0
[
sin
(
α
−
β
)
(
α
−
β
)
]
.
(
sin
2
β
2
β
)
.......
[
∵
α
→
β
⟹
α
−
β
→
0
]
=
1.
sin
2
β
2
β
.....
[
∵
lim
x
→
0
sin
x
x
=
1
]
=
sin
2
β
2
β
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Similar Questions
Q1
The value of
lim
α
→
β
[
sin
2
α
−
sin
2
β
α
2
−
β
2
]
is:
View Solution
Q2
lim
α
→
β
sin
2
α
−
sin
2
β
α
2
−
β
2
View Solution
Q3
Find the value of
x
such that
(
x
+
α
)
2
−
(
x
+
β
)
2
α
+
β
=
s
i
n
2
θ
s
i
n
2
θ
. when
α
and
β
are the roots of
t
2
−
2
t
+
2
=
0
View Solution
Q4
If
α
+
β
=
90
o
and
α
=
2
β
, then
cos
2
α
+
sin
2
β
equals to
View Solution
Q5
If
α
,
β
are the roots of
x
2
−
p
(
x
+
1
)
−
c
=
0
, then the value of
α
2
+
2
α
+
1
α
2
+
2
α
+
c
+
β
2
+
2
β
+
1
β
2
+
2
β
+
c
is
View Solution