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Question: What are the coordinates of point P (0, -2), after it is rotated counterclockwise by 270° about the origin?


A ) (0, -2)
B ) (-2, 0)
C ) (0, 2)
D ) (2, 0)

Steps to derive

1 Represent the point (0, -2) on the coordinate axis.
 [The point will lie on the negative y-axis.]

2 The point P(0, -2) is rotated anti-clock wise by 270o as shown in the figure.


3 The coordinates of the point P after rotating 270o are P'(-2, 0).
 [The point is now on the negative x-axis at a distance of 2 units from origin.]



Hence the right answer is Option B

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