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JEE Math Practice Question

Let $$P$$ be the point $$(1, 0)$$ and $$Q$$ a point on the parabola $${y^2} = 8x$$. The locus of mid point of $$PQ$$ is :

  1. A.$${y^2} - 4x + 2 = 0$$
  2. B.$${y^2} + 4x + 2 = 0$$
  3. C.$${x^2} + 4y + 2 = 0$$
  4. D.$${x^2} - 4y + 2 = 0$$

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