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Standard XIII
Mathematics
Distance Formula Using Complex Numbers
Length of the...
Question
Length of the line segment joining the points -1 -i and 2 + 3i is
A
– 5
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B
15
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C
5
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D
25
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Solution
The correct option is
C
5
Since the coordinates in complex plane are (2, 3) and (-1), 1 Hence the required distance is 5.
Trick :
We know that the distance between
z
1
and
z
2
i
s
|
z
1
−
z
2
|
therefore, the required length |2 + 3i + 1 + i| = 5.
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