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Standard XI
Mathematics
NCERT
Question
For what values of
x
, the numbers
−
2
7
,
x
,
−
7
2
are in G.P.?
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Solution
Verified by Toppr
Given
−
2
7
,
x
,
−
7
2
∈
G.P
⇒
x
2
=
−
2
7
⋅
−
7
2
=
1
⇒
x
2
=
1
∴
x
=
±
1
Since if
a
,
b
,
c
∈
G.P then
b
2
=
a
c
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