The point where no magnetic effect is felt around a magnet is
Answer Details
A neutral point is a point in a magnetic field where the resultant magnetic flux density is zero, because two fields of equal magnitude act there in exactly opposite directions and cancel. A compass needle placed at a neutral point feels no turning force, and when iron filings are sprinkled around a magnet they leave such a spot bare, since no field line passes through it.
In the standard experiment a bar magnet is laid on paper in the Earth's field. The field of the magnet and the horizontal component of the Earth's field are equal and opposite at certain positions: with the north pole of the magnet pointing north, the neutral points lie on either side of the magnet near its middle, and with the north pole pointing south they lie on the axis beyond each pole. Because the cancellation is between two specific fields, the position of a neutral point depends on the strength of the magnet, which is why it can be used to compare magnetic field strengths.
The other terms belong to different topics. Near point and far point are optical terms describing the closest and furthest distances at which the eye can focus clearly, and they have nothing to do with magnetism. There is no defined quantity called an infinite point; in any case the field of a magnet only approaches zero at very large distances rather than vanishing at an identifiable point, and that gradual weakening is not what the term neutral point means. The key idea to carry into the examination is that a neutral point is created by cancellation of two fields, not by simple distance from the magnet.