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Byju's Answer
Standard XII
Mathematics
nth Term of A.P
Find p and q ...
Question
Find p and q such thaat : 2p , 2 p+q , p + 4 q , 35 are in AP
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Solution
W
e
h
a
v
e
2
p
,
2
p
+
q
,
p
+
4
q
,
35
a
r
e
i
n
A
.
P
⇒
2
p
+
q
−
2
p
=
p
+
4
q
−
2
p
−
q
⇒
q
=
3
q
−
p
∴
p
=
2
q
−
−
−
−
−
(
1
)
N
o
w
,
a
l
s
o
p
+
4
q
−
2
p
−
q
=
35
−
p
−
4
q
⇒
3
q
−
p
=
35
−
p
−
4
q
⇒
3
q
−
2
q
=
35
−
2
q
−
41
[
F
r
o
m
e
q
u
a
t
i
o
n
1
]
⇒
q
=
35
−
6
q
⇒
7
q
=
35
∴
q
=
5
a
n
d
,
p
=
2
q
∴
p
=
10
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0
Similar questions
Q.
Find p and q such that : 2 p , 2 p + q , p + 4 q , 35 are in AP
Q.
If
p
=
3
and
q
=
−
3
, find the value of:
a)
2
p
+
q
−
3
q
p
b)
p
2
q
2
+
p
3
−
q
3
+
p
q
2
+
p
2
q
Q.
Let P and Q be
3
×
3
matrices such that
P
≠
Q
. If
P
3
=
Q
3
and
P
2
Q
=
Q
2
P
then determinant of
(
P
2
+
Q
2
)
is equal to.
Q.
Find the value of
2
p
(
p
+
q
)
−
2
p
(
p
−
q
)
Q.
If p and q are the roots of
2
x
2
+
3
x
+
4
= 0, then find the value of
p
2
q
+
q
2
p
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Standard XII Mathematics
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