Introduction:
The given sentence states that if magnetic lines intersect, the compass needle would deflect towards two directions, which is not possible. In order to understand this statement, let's break it down and explain it in detail.

Magnetic Lines:
- Magnetic lines, also known as magnetic field lines, are used to represent the direction and strength of a magnetic field.
- These lines are imaginary lines that form closed loops around a magnet or a current-carrying wire.
- The direction of the magnetic field at any point along these lines can be determined by the orientation of a compass needle.

Compass Needle and Deflection:
- A compass is a small magnetized needle that aligns itself with the Earth's magnetic field.
- The needle of a compass points towards the Earth's magnetic north pole, which is close to the geographic south pole.
- When placed near a magnetic field, such as that produced by a magnet, the compass needle aligns itself with the magnetic field lines.

Intersecting Magnetic Lines:
- When two magnetic field lines intersect, it means that the magnetic field at that point has two different directions.
- This implies the presence of two magnets or current-carrying wires at that location, each producing its own magnetic field.
- The compass needle, being influenced by both magnetic fields, would attempt to align itself with both directions simultaneously.

Deflection Towards Two Directions:
- The deflection of a compass needle towards two different directions is not possible.
- A compass needle can only align itself with a single magnetic field direction at a time.
- If the magnetic field lines intersect, it creates a situation where the compass needle is being pulled towards two conflicting directions.

Result:
- Due to this conflicting pull, the compass needle would not be able to settle in a stable position.
- It would constantly oscillate or fluctuate between the two directions, unable to establish a clear alignment.
- This behavior is not observed in real-life compasses because magnetic field lines do not intersect under normal circumstances.

Conclusion:
In conclusion, if magnetic lines intersect, the compass needle would deflect towards two directions, which is not possible. The conflicting magnetic fields would cause the compass needle to constantly oscillate and prevent it from aligning with a single direction. However, in reality, magnetic field lines do not intersect, ensuring that a compass needle points in a single direction consistently.