Which of the following properties are followed by electrostatic field…

The correct answer is Option (4) → A, B and D only

An electric field line is drawn so that its tangent at every point gives the direction of the field there.

(A) Due to conservative nature of electric field, these field lines do not form closed loops. — Correct. The work done round any closed path is zero, so a field line never returns to its start; it runs from higher to lower potential.

(B) In a charge-free region, electric field lines can be taken to be continuous. — Correct. Lines begin or end only on charges, so there they are continuous curves without breaks.

(C) At a point due to the intersection of electric field lines there may be more than one direction of electric field. — Incorrect. The field has a unique direction at each point, so two field lines never cross.

(D) Electric field lines for a dipole start from positive charge and end at negative charge. — Correct. Field lines start on positive charges and end on negative charges, here from +q to −q.

NCERT (2026-27):
Electric Field Lines – “… The field lines follow some important general properties:
(i) Field lines start from positive charges and end at negative charges.
(ii) In a charge-free region, electric field lines can be taken to be continuous curves without any breaks.
(iii) Two field lines can never cross each other. (If they did, the field at the point of intersection will not have a unique direction, which is absurd.)
(iv) Electrostatic field lines do not form any closed loops. This follows from the conservative nature of electric field (Chapter 2).”