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GATE2019-1-16

  1. GATE2019-1-80
  2. GATE2019-1-80
  3. GATE2019-1-80
  4. GATE2019-1-80

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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