The complex number z = 1 + i is rotated through an angle 3π/ 2 in anticlockwise direction about the origin and stretched by additional √2 units

Question 1

The complex number z = 1 + i is rotated through an angle 3π/ 2 in anticlockwise direction about the origin and stretched by additional √2 units then the new complex number is

(1) 2(1+i )

(2) 2(1-i)

(3) √2(1-i)

(4) -√2(1+i)

Question 2

Correct Option (2) 2(1-i)

Explanation:

The complex number z = 1 + i is rotated through an angle 3π/ 2 in anticlockwise direction about the origin and stretched by additional √2 units

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The complex number z = 1 + i is rotated through an angle 3π/ 2 in anticlockwise direction about the origin and stretched by additional √2 units

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1 Answer

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