Hello,
Although it is is not recommended to do class 12th without passing 11th as these provides base to 12th class but if you are smart enough to handle the 12th course you can go for it.
It is in the hands of school administration they may allow their meritorious students to skip the class 11th to save time or any other reasons.you should talk to your school board regarding this they will help you in this situation.
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