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Byju's Answer
Standard XII
Mathematics
Equation of Conics in Complex Form
If |z1| = 2, ...
Question
If
|
z
1
|
=
2
,
&
z
2
be the point in which sartisfies the condition
(
z
2
+
¯
¯¯¯
¯
z
2
)
−
i
(
z
2
−
¯
¯¯¯
¯
z
2
)
=
8
√
2
,
then the minimum value of
|
z
1
−
z
2
|
is
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Solution
|
z
1
|
=
2
⇒
x
2
+
y
2
=
4
(
z
2
+
¯
¯¯¯
¯
z
2
)
−
i
(
z
2
−
¯
¯¯¯
¯
z
2
)
=
8
√
2
⇒
x
+
y
=
4
√
2
A
B
=
O
B
−
r
A
B
=
2
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0
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Q.
If
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∣
∣
∣
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