Non-solicit competition for x months after resignation

Yes, it is a standard clause for every employer especially.  The Point one should understand is that when a person works in an organization, unwittingly he/she shall be getting privileged information regarding the business and its clients, etc. If such a person is terminated/resigned and starts using such information, the employer's interests shall be affected.  For that purpose, the above clause is inserted in all employment agreements for the simple reason that nobody can be sure about how a person shall use/abuse the information he possesses once he is out of the organization.

Sir, Thank you for your reply.

My intention is not to share any confidential information, I will never do that.

My query is: Can the organization take me to court and will I be penalized by court if I resign and join elsewhere within 3 months?

Yes, the organization is perfectly in order in including the clause mentioned by you to safeguard their interest. The clause is not meant for you alone, you may be a good person, but it is a general condition that is being inserted in-service condition. If you do not like the clause, you can inform the company and not join them. 

After your resignation, you can join any company including the competitor of your ex-employer. Upon resignation, your ex-employer has no right over you. That apart, any agreement restricting trade or profession is void in terms of sec. 27 of the Indian Contract Act.

For more details you may check my blog post - https://labourlawhub.wordpress.com/2016/02/19/your-company-cannot-stop-you-from-joining-its-competitor/