Electric Field: Opposite Charges for Zero Net Field

[Ephysics]

Homework Statement

Two point charges of unknown magnitude and sign are places at some distance apart. The electric field is zero at a point not between them , but on the line joining the. Write 2 essential conditions for this to happen.

Homework Equations

E = q1*q2/(4 * pi * epsilon₀ * r²)

The Attempt at a Solution

Since the net field is zero at a point outside the line joining the 2 charges ,
they should be oppositely charged.

So, condition one:
The charges should be oppositely charged .

What would be the second condition?

Any help would be highly appreciated.
Thank You.

 

[rl.bhat]

The point should be nearer to the smaller charge.

 

[Redbelly98]

So, condition one:
The charges should be oppositely charged .

What would be the second condition?

Any help would be highly appreciated.
Thank You.

Hint: try finding the location of zero electric field when the charges are +1 C and -1 C, and 1 m apart.