Two point charges $$+1\ \mu\text{C}$$ and $$-1\ \mu\text{C}$$ are placed at points $$(0, -0.1\ \text{m})$$ and $$(0, +0.1\ \text{m})$$ respectively in XY plane. Then, choose the correct statements from the following.

A

The electric field at all points on the Y axis has the same direction

B

The dipole moment is $$0.2\ \mu\text{C-m}$$ along the $$+X$$ axis direction

C

No work has to be done in bringing a test charge from infinity to the origin

D

Electric field at all points on the X axis is along the $$+Y$$ axis