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The correct option is option-4.
Statement 1: Hypermetropia is a defect of vision in which a person cannot see the distant objects clearly. This statement is incorrect. Hypermetropia is a defect of vision in which a person cannot see the near objects clearly, not the distant objects.
Statement 2: Hypermetropia is a defect of vision in which a person cannot see the near objects clearly. This statement is correct. Hypermetropia causes difficulty in focusing on near objects.
Statement 3: Hypermetropia is a defect of vision in which the near point of the eye gets shifted away from the normal position. This statement is incorrect. In hypermetropia, the near point of the eye remains in the same position, but the eye has difficulty in accommodating for near objects.
Statement 4: Hypermetropia is a defect of vision in which the far point of the eye gets shifted towards the eye. This statement is correct. In hypermetropia, the far point of the eye is closer to the eye than the normal position.
Therefore, statement 2 and 4 are correct.