If two atoms are bonded to a central atom with no lone pairs, how will they be arranged?
Most likely the geometric form of the molecule will be linear.
One possibility is the central atom being an atom with two valance electrons. This will create a liner molecule with no lone pairs of electrons
Another possibility is a central atom being an atom with four valance electrons. If the two atoms each require two bonds like oxygen the result will be a linear molecule with no lone pairs of electrons.