Class 12-science

I don't think, there is any school that provides 6 month course of class 12th. You have to study whole year. I suggest to go for courses that are related to your field.

You can pursue career in animation. That's nothing to do with math.

Hi, you should have cleared class 12th to take up architecture admission. Rules as per council of Architecture - Only candidates who have the following credentials shall be eligible for admission to B.Arch. Course.
i. Qualified through the recognized aptitude test in Architecture NATA or equivalent.
ii. Have gone through any of the following curriculum with marks as prescribed below:
Secured 50% marks in Physics, Chemistry and Mathematics and also 50% marks in aggregate at
10+2 level examination.

You have a chance to get in, but do good in XAT entrance and GDPI. So start preparing for XAT, self practice and
do take mock tests frequently. Good luck!

Reputed institutes follow merit based admission process. Under this scheme, marks scored by students in 10+2 board examination and/or relevant entrance test (national, state or institute-wise) are taken into consideration. Seats are allotted to deserving candidates on the basis of merit marks obtained by them.

Yes, you are eligible to apply.
Go visit their Website gain some details and proceed with the formalities and procedures.
Good luck.

Hello,
Yes, if you are interested in dance, you can apply for BA Hons. Dance.

Hi,
Except Bachelor of Fashion Technology (B. FTech), you may pursue any other course offered by NIFT with class 12th (Science) with biology (without Maths).

As you have done your class 12th in PCM. You can go in any field based on your interest. For further discussion you can ask. Best of luck.