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Question

If z=2i2 is rotated through an angle 45° in the anti-clockwise direction about the origin, then the coordinates of its new position are 
[Kerala (Engg.) 2005]


A

(2, 0)

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B

(2,2)

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C

(2,2)

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D
(2,0
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E
(4, 0)
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Solution

The correct option is E (2,0
z=2i2
Here, θ=tan1=(22)=tan1(1)=135o
Now, rotate z in opposite direction with 45° angle

 θ=180o

 θ=tan0=tan1(02)
 Hence x=2 and y=0.


Mathematics

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