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Question

If the axes are rotated through an angle 30o, then the coordinates of (23,3) in the new system are

A
(32,52)
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B
(32,52)
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C
(32,532)
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D
(32,532)
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Solution

The correct option is A (32,532)
By rotation, through an angle θ
x=xcosθ+ysinθ
y=xsinθ+ycosθ
x=23×323×12
=332=32
y=23×123×32
=532
new co-ordinates are (32,532)
Hence, option C is correct.

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