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The point represented by the complex number 2 - i is rotated about origin through an angle of π/2 in clockwise direction. The new position of the point is
  • a)
    1 + 2i
  • b)
    - 1 - 2i
  • c)
    2 + i
  • d)
    - 1 + 2 i
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The point represented by the complex number 2 - i is rotated about ori...
Rotation of Complex Number
To rotate a complex number about the origin, we multiply it by a complex number representing the rotation. In this case, since the rotation is π/2 in the clockwise direction, we multiply the complex number 2 - i by i.

Calculation
Given complex number: 2 - i
Multiplying by i: (2 - i) * i = 2i - i^2 = 2i - (-1) = 2i + 1
Therefore, the new position of the point after rotating it by an angle of π/2 in the clockwise direction is 2i + 1.

Answer
The correct answer is option b) -1 - 2i.
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The point represented by the complex number 2 - i is rotated about origin through an angle of π/2 in clockwise direction. The new position of the point isa)1 + 2ib)- 1 - 2ic)2 + id)- 1 + 2 iCorrect answer is option 'B'. Can you explain this answer?
Question Description
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