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Question
If
p
t
h
,
q
t
h
,
r
t
h
and
s
t
h
terms of an
A
.
P
are in
G
.
P
then
p
β
q
,
q
β
r
,
r
β
s
are in
G
.
P
.
A
True
B
False
Medium
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Solution
Verified by Toppr
Correct option is A)
As
p
t
h
,
q
t
h
,
r
t
h
&
s
t
h
terms are in G.P
β΄
q
p
β
=
r
q
β
=
s
r
β
OR
p
r
=
q
2
;
r
2
=
q
s
&
p
s
=
q
r
so, Lets Imagine
p
β
q
,
q
β
r
&
r
β
s
are in G.P.
so,
q
β
r
p
β
q
β
=
r
β
s
q
β
r
β
OR
(
p
β
q
)
(
r
β
s
)
=
(
q
β
r
)
2
p
r
β
p
s
β
q
r
+
q
s
=
q
2
+
r
2
β
2
q
r
as
q
2
=
p
r
,
r
2
=
q
s
&
p
s
=
q
r
we get
q
2
β
q
r
β
q
r
+
r
2
=
q
2
+
r
2
β
2
q
r
q
2
+
r
2
β
2
q
r
=
q
2
+
r
2
β
2
q
r
L.H.S=R.H.S
β΄
Our hypothesis is true.
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