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In a $CAD$ package, mirror image of a $2D$ point $P(5,10)$ is to be obtained about a line which passes through the origin and makes an angle of $45^{\circ}$ counterclockwise with the $X$-axis. The coordinates of the transformed point will be

  1. $(7.5, 5)$
  2. $(10, 5)$
  3. $(7.5, -5)$
  4. $(10, -5)$
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