You can execute an affidavit that K stands for katatam in your name and that school certificate does not reflect your full name 

1. You can take oath/declare through an affidavit before the notary stating that the name mentioned in your educational certificate as" K Karthik" and in your ID Proofs as " Karthik Katakam" belongs to one and the same person.  Get this published in local Telugu and English newspapers.  Produce this document to passport issuing authority.

2.  OR approach the jurisdictional Court and get an order to that effect of different names belonging to the same person.

Dear Client,

In the Present Scenario, your 10th Certificate and other education certificates has the name of "K Karthik" but your ID Proofs has the full name, "Karthik katakam". Your father's name, further, in the education certificates has a spelling mistake. Your education has been completed 10 years back, and your applying for passport presently. Herein, taking into consideration the relevant Passport laws, there are several guidelines laid down for its governance. Generally, a spelling mistake or discrepancy in a name may lead to delays in processing of passports, rejection of the application and even additional documentation requests to verify your claim. However, for correcting the name discrepancy, an affidavit stating the difference in the name, and clarification on the same would be required, additionally with certain supporting documents. Besides, for correcting your father's name, you may fill a correction form providing appropriate documentation. However, it is suggested that, your have a copy of your education certificates, your ID Proofs, correction documents if available, and affidavit for your name's discrepancy.

Hope you find this answer beneficial for resolving the dispute.

In any case you may have to expand the initials while filling up the application for passport, hence you can attach the copies of the identity proof having expanded initials.

Your father's identity card is not required to be attached 

- Now the passport authority not accepted short name , it means that even if you will submit the proof of your qualification certificate naming in short K Karthik , then also they will ask you to prove full name 

- Hence, you should mention full name in the passport application with the proof of ID , and the 10 th certificate will not create any problem as it will be accepted for confirming your date of birth. 

- Other side, you cannot do any changing in the academic certificate after two years maximum after passing the same. 

You can approach a civil lawyer or notary public for the affidavit. The entire process, including drafting and newspaper publication, usually takes 1–2 weeks.

For detailed, personalized advice, consider a phone consultancy.

Hope you find the information helpful. You are free to contact me for further discussion.If you could spare two minutes of your time to write a review, It would be really grateful and very happy to read it.

Thank you.

Shubham Goyal

Civil Lawyer/Notary can be approached for getting the Affidavit done. It may take an hour. However for getting the court order it may take a month or so.

Any lawyer can prepare affidavit 

it should be on Rs 500 stamp paper and duly notarised 

it should not take more than a day 

You can approach a notary public within your locality and get the needful done.

It will take 15 days after effecting the newspaper publication 

You need to provide a proper certificate having your full name in it

- You can execute this Affidavit yourself or after taking help of a local advocate 

- This is one day process.