(a) This chapter does not apply to or affect a policy of motor vehicle liability insurance required by another law of this state. If that policy contains an agreement or is endorsed to conform to the requirements of this chapter, the policy may be certified as evidence of financial responsibility under this chapter.
(b) This chapter does not apply to or affect a policy that insures only the named insured against liability resulting from the maintenance or use of a motor vehicle that is not owned by the insured by persons who are:
(1) employed by the insured; or
(2) acting on the insured's behalf.