AP and GP Relation (Jee Mains) | ExamDuo
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Arithmetic and Geometric Progression
Hard
AP and GP Relation
Let
0
<
z
<
y
<
x
be three real numbers such that
1
x
,
1
y
,
1
z
are in an arithmetic progression and
x
,
√
2
y
,
z
are in a geometric progression. If
x
y
+
y
z
+
z
x
=
3
√
2
x
y
z
, then
3
(
x
+
y
+
z
)
2
is equal to _______.
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