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Byju's Answer
Standard XII
Mathematics
Complex Plane
For all compl...
Question
For all complex numbers
z
1
,
z
2
such that
|
z
1
|
=
12
and
|
z
2
−
3
−
4
i
|
=
5
, the minimum value of
|
z
1
−
z
2
|
is
A
0
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B
2
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C
7
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D
10
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Solution
The correct option is
B
2
Minimum distance will be along lines joining two center
=
R
1
−
2
R
2
=
12
−
2
×
5
=
2
units
Suggest Corrections
0
Similar questions
Q.
For all complex numbers
z
1
and
z
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satisfying
|
z
1
|
=
12
and
|
z
2
−
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−
4
i
|
=
5
, the minimum value of
|
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1
−
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|
is
Q.
For all complex numbers
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,
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, satisfying
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1
|
=
12
and
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−
3
−
4
i
|
=
5
, the minimum value of
|
z
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−
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is
Q.
Let
z
1
and
z
2
be two complex numbers such that
|
z
1
|
=
12
and
|
z
2
−
3
−
4
i
|
=
5.
Then the minimum value of
|
z
1
−
z
2
|
is
Q.
For all complex numbers
z
1
,
z
2
satisfying
|
z
1
|
=
12
and
|
z
2
−
3
−
4
i
|
=
5
, the minimum value of
|
z
1
−
z
2
|
is
Q.
For all complex numbers
z
1
,
z
2
satisfying
|
z
1
|
=
12
and
|
z
2
−
3
−
4
i
|
=
5
, then minimum value of
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z
1
−
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is
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