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GATE2016-3-53

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A point P $(1, 3,−5)$ is translated by $2\hat{i}+3\hat{j}-4\hat{k}$  and then rotated counter clockwise by $90^\circ $ about the $z$-axis. The new position of the point is

  1. $(−6, 3,−9)$
  2. $(−6,−3,−9)$
  3. $(6, 3,−9)$
  4. $(6, 3, 9)$
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