Requesting A and AAAA records in single DNS query

I'm working on a DNS query implementation in C and interested in requesting both A and AAAA (IPv4 and IPv6) records in a single query packet, but I'm not getting any responses from the nameserver when I put the two queries together in one packet like this. I've tried sending the query to several different nameservers (both local and 8.8.8.8) with no luck. Is this something that does not work, or is it likely that my query packet is malformed?

My basic algorithm for appending the AAAA query (to an existing A request packet) is to increase the QDCOUNT field in the packet header, then append an RR query with TYPE set to AAAA and NAME as a pointer to the hostname in the existing A query (bytes 0xC0 0x0C for an offset of 12 bytes from the beginning of the packet). Does this sound correct?

FYI, everything works fine with just the A query in the packet.

Edit: Apparently my queries were all slightly malformed (I was not aware that queries unlike answers do not have TTL and RDLENGTH/RDATA fields). Upon fixing this, I'm getting back RCODE=1 format error replies which acknowledge the presence of the 2 queries. Does this mean multiple queries per packet are just not supported?

Edit 2: Here's a hexdump of a lookup for www.google.com:

d8 32 01 00 00 02 00 00 00 00 00 00 03 77 77 77 06 67 6f 6f 67 6c 65 03 63 6f 6d 00 00 01 00 01 c0 0c 00 1c 00 01

I don't see anything wrong with it.

I'm not aware of any nameservers that support multiple questions in a single query.

There's potential for ambiguity in such a query, since there are per-packet flags (such as AA) which could apply to only one of the questions. If you ask two questions and the server is authoritative for only one of the domains, should the server set the flag or not? I suspect issues such as these have deterred implementors.

There have been a number of proposals to solve the problem you're talking about (such as this proposal to introduce a QTYPE that combines A and AAAA, and Paul Vixie's repeated attempts to introduce an EDNS form of multiple questions), but at present programs supporting both IPv4 and 6 tend to perform two separate queries, either AAAA followed (after a timeout) by A, or both simultaneously.

I suppose there's also the "all" QTYPE, but it can return a lot more data than you need.

Edit: from query.c in the BIND source:

   dns_message_currentname(message, DNS_SECTION_QUESTION,
         &client->query.qname);
   client->query.origqname = client->query.qname;
   result = dns_message_nextname(message, DNS_SECTION_QUESTION);
   if (result != ISC_R_NOMORE) {
     if (result == ISC_R_SUCCESS) {
       /*
        * There's more than one QNAME in the question
        * section.
        */
       query_error(client, DNS_R_FORMERR, __LINE__);
     } else
       query_error(client, result, __LINE__);
     return;
   }

Edit: also, from resolver.c in the BIND source:

    /*
     * XXXRTH  Currently we support only one question.
     */
    if (message->counts[DNS_SECTION_QUESTION] != 1) {
            log_formerr(fctx, "too many questions");
            return (DNS_R_FORMERR);
    }