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GATE2019 ME-1: 15

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The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anti-clockwise in $X-Y$ plane by an angle $\theta = 30^{\circ}$ such that point $P$ occupies position $Q$, as shown in the figure. The coordinates $(x,y)$ of $Q$ are

  1. $(13.40,22.32)$
  2. $(22.32, 8.26)$
  3. $(12.32, 18.66)$
  4. $(18.66, 12.32)$
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