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Byju's Answer
Standard XII
Mathematics
Rolle's Theorem
Let A = (3, –...
Question
Let A = (3, –4), B = (1, 2) and P = (2λ – 1, 2λ + 1). If the sum PA + PB is minimum, then the value of λ is
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Similar questions
Q.
Let
p
λ
4
+
q
λ
3
+
r
λ
2
+
s
λ
+
t
=
∣
∣ ∣ ∣
∣
λ
2
+
3
λ
λ
−
1
λ
+
3
λ
+
1
−
2
λ
λ
−
4
λ
−
3
λ
+
4
3
λ
∣
∣ ∣ ∣
∣
be an identity in
λ
, where
p
,
q
,
r
,
s
,
t
are constants. Then the value of
t
is ...............
Q.
If
|
log
2
x
+
1
|
+
∣
∣
1
−
(
log
2
x
)
2
∣
∣
=
∣
∣
log
2
x
+
(
log
2
x
)
2
∣
∣
,
then the true set of values of
x
is
{
λ
}
∪
[
μ
,
∞
)
.
Then
Q.
If
|
log
2
x
+
1
|
+
|
1
−
log
2
2
x
|
=
|
log
2
x
+
log
2
2
x
|
,
then the true set of values of
x
is
{
λ
}
∪
[
μ
,
∞
)
.
Then
Q.
Let
λ
be an integer. If the shortest distance between the lines
x
−
λ
=
2
y
−
1
=
−
2
z
and
x
=
y
+
2
λ
=
z
−
λ
is
√
7
2
√
2
,
then the value of
|
λ
|
is
Q.
Let
A
=
(
3
,
−
4
)
,
B
(
1
,
2
)
and
P
=
(
2
k
−
1
,
2
k
+
1
)
is a variable point such that
P
A
+
P
B
is the minimum. Then
k
is :
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