JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

{z_1},\;{z_2}

and

{z_3}

are any three complex numbers, then the fourth vertex of the parallelogram whose three vertices are

{z_1},\;{z_2}

and

{z_3}

taken in order is

View answer and explanation

Correct option: A

{z_1} - {z_2} + {z_3}

Option A (

{z_1} - {z_2} + {z_3}

) is correct because in a parallelogram, the midpoints of the diagonals coincide, allowing us to find the fourth vertex.

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