Length of the line segment joining the points -1-i and 2-3 i isA- -5B- 15C- 5D- 25

Since the coordinates in complex plane are (2, 3) and ( 1, 1) Hence the required distance is √((2 ( 1))^2 + (3 ( 1))^2), which is 5. Trick : We know that the d ...

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Standard XII

Mathematics

Modulus of a Complex Number

Length of the...

Question

Length of the line segment joining the points -1-i and 2+3i is

-5

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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 $\sqrt{(2 - (- 1))^{2} + (3 - (- 1))^{2}}$ , which is 5.

Trick : We know that the distance between $z_{1}$ and $z_{2}$ is $| z_{1} - z_{2} |$
Therefore, the required length $| 2 + 3 i + 1 + i |$ = 5

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The correct option is C 5 Since the coordinates in complex plane are (2, 3) and (-1,-1) Hence the required distance is √(2−(−1))2+(3−(−1))2, which is 5. Trick : We know that the distance between z1 and z2 is |z1−z2| Therefore, the required length |2+3i+1+i| = 5