Hello!
To pursue a career in architecture after Class 12 with PCM (Physics, Chemistry, Mathematics), here's a step-by-step process for you:

1. Choose the right entrance exams :
   The primary entrance exam for architecture in India is NATA (National Aptitude Test in Architecture) . Another option is JEE Main Paper 2 (for admission to B.Arch programs in NITs, IITs, and other prestigious institutions).

   • NATA : Conducted by the Council of Architecture (COA), NATA evaluates your drawing and observation skills, sense of proportion, aesthetic sensitivity, and critical thinking.
   • JEE Main Paper 2 : This is another major exam if you're aiming for institutes like NITs or IITs. It covers Mathematics , Aptitude , and a Drawing Test .

2. Syllabus :

   • NATA :
     • Drawing & Sketching (creative drawing, perspective, memory drawing, etc.)
     • Mathematics (mostly 10th and 12th standard concepts)
     • General Aptitude (logical reasoning, visual perception, analytical ability)
   • JEE Main Paper 2 :
     • Mathematics
     • General Aptitude (similar to NATA)
     • Drawing (freehand drawing, geometrical drawing)

3. Preparation Resources :

   • Books :
     • "NATA & B.Arch Complete Self Study Material" : Helps cover the NATA syllabus and gives you ample drawing practice.
     • Arihant’s Guide for B.Arch Entrance Exam : Covers both NATA and JEE Main Paper 2.
   • Online Platforms : Consider using websites that offer mock tests, drawing exercises, and study materials specifically designed for architecture exams.

4. Build a portfolio :
   While preparing, also focus on your portfolio and practical drawing skills. Many architecture schools may ask to see your creative work.

5. Further studies :
   Once you clear these exams, you’ll be eligible for B.Arch (Bachelor of Architecture) programs. It’s a 5-year course, and top colleges may also conduct interviews as part of their admission process.

This roadmap should give you clarity on how to proceed. Keep in mind, securing a good score in the entrance exams is key to getting into a reputed architecture college. Best wishes for your future!

If you've completed an ITI (Industrial Training Institute) course and then pursued a lateral entry into a Diploma in Architecture Assistantship, you may be eligible for admission to further studies, such as a Bachelor's degree in Architecture (B.Arch) or related fields. However, specific eligibility criteria can vary depending on the institution and the course you wish to pursue.

Here are some general points to consider:

1. Lateral Entry Admission : If you completed your diploma through lateral entry, you generally have the same rights and qualifications as those who completed the diploma via the regular entry. This means you should be eligible for further studies, provided you meet the other admission criteria.

2. Eligibility for B.Arch : For admission to a B.Arch program, you generally need to have completed a 10+2 (with Mathematics as a compulsory subject) or a 3-year diploma recognized by the state or central government. You would also need to pass the National Aptitude Test in Architecture (NATA) or another entrance exam specified by the institution.

3. Admission to Other Degree Programs : If you're not looking to pursue a B.Arch but another degree or course related to architecture, the eligibility criteria will depend on the specific course and institution.

4. Check with Institutions : It's crucial to check the specific admission requirements of the institutions you are interested in, as they may have their own criteria regarding lateral entry diploma holders.

If you are asking whether your diploma qualifies you for further admission or employment, it’s advisable to contact the admissions office of the specific institution or consult the official guidelines provided by the education board or university you're interested in.

Since you've completed 11th and 12th in PCB and NATA (National Aptitude Test in Architecture) requires Maths for Goa colleges, here are your options to pursue Architecture:

1. Explore Other NATA Accepting Colleges: Not all colleges require NATA, especially private ones. Search for architecture colleges outside Goa that accept students based on alternative entrance exams or merit. The Council of Architecture (COA) website lists all accredited architecture programs in India.

2. NIOS On-Demand Exams: While Goa might not accept NIOS Maths, some other colleges might. Check with colleges you're interested in if they accept NIOS on-demand exams for Maths. NIOS allows appearing for specific subjects outside the regular academic session.

3. State-Level Architecture Entrance Exams: Some states conduct their own architecture entrance exams. Explore if any states near you have such exams with a PCB eligibility and contact the conducting body for details.

4. Alternative Design Courses: Consider related design fields like Interior Design or Fashion Design that might have less stringent math requirements. Research entrance exams for these programs.

Remember: Contact the colleges directly to confirm their eligibility criteria and entrance exams accepted.

These options provide pathways to your architectural aspirations even without appearing for NATA Maths in Goa.