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Standard XI
Mathematics
NCERT
Question
If
z
1
=
2
−
i
,
z
2
=
1
+
i
, find
∣
∣
∣
z
1
+
z
2
+
1
z
1
−
z
2
+
1
∣
∣
∣
Open in App
Solution
Verified by Toppr
We have
z
1
=
2
−
i
,
z
2
=
1
+
i
∴
∣
∣
∣
z
1
+
z
2
+
1
z
1
−
z
2
+
1
∣
∣
∣
=
∣
∣
∣
(
2
−
i
)
+
(
1
+
i
)
+
1
(
2
−
i
)
−
(
1
+
i
)
+
1
∣
∣
∣
=
∣
∣
∣
4
2
−
2
i
∣
∣
∣
=
∣
∣
∣
4
2
(
1
−
i
)
∣
∣
∣
=
∣
∣
∣
2
1
−
i
×
1
+
i
1
+
i
∣
∣
∣
=
∣
∣
∣
2
(
1
+
i
)
1
2
−
i
2
∣
∣
∣
=
∣
∣
∣
2
(
1
+
i
)
1
+
1
∣
∣
∣
=
∣
∣
∣
2
(
1
+
i
)
2
∣
∣
∣
=
|
1
+
i
|
=
√
1
2
+
1
2
=
√
2
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10
Similar Questions
Q1
If
z
1
=
2
−
i
,
z
2
=
1
+
i
, find
∣
∣
∣
z
1
+
z
2
+
1
z
1
−
z
2
+
1
∣
∣
∣
View Solution
Q2
If
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=
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+
i
, find
∣
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∣
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1
+
z
2
+
1
z
1
−
z
2
+
i
∣
∣
∣
.
View Solution
Q3
If
z
1
=
2
−
i
and
z
2
=
1
+
i
, find
∣
∣
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+
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1
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View Solution
Q4
If
z
1
=
2
-
i
,
z
2
=
1
+
i
,
find
z
1
+
z
2
+
1
z
1
-
z
2
+
i
View Solution
Q5
If
z
1
≠
−
z
2
and
|
z
1
+
z
2
|
=
∣
∣
∣
1
z
1
+
1
z
2
∣
∣
∣
then
View Solution