1) Since your prayer to court is to direct the builder to register the lease agreement, only Noida courts will have jurisdiction over the dispute.
2) Section 16 & 17 of Civil Procedure Code specifically mentions that suits pertaining to immovable property shall be filed only in the courts having jurisdiction over any portion of the property is situated.
3) It is immaterial where the parties to the agreement are located and what jurisdiction parties agree to have their dispute settled.
4) In your case Section 16 (d) will be applicable as it is lease contract registration.
Section 16 of the Civil Procedure Code is as follows:
"Suits to be instituted where subject matter situate: Subject to the pecuniary and other limitations prescribed by any law, suits-
(a) for the recovery of immovable property with or without rent or profits.
(b) for the partition of immovable property.
( c) for the foreclosure, sale or redemption in the case of a mortgage of or charge upon immovable property.
(d) for the determination of any other right to or interest in immovable property.
(e) for compensation for wrong to immovable property.
(f) for the recovery of immovable property actually under distraint or attachment,
5) Even by virtue of Section of 17 of CPC, Only Noida courts will have jurisdiction over your dispute.
Section 17 of Civil Procedure Code which runs as follows :
Suits for immovable property situate within jurisdiction of different courts:- Where a suit is to obtain relief respecting, or compensation for wrong to, immovable property situate within the jurisdiction of different courts, the suit may be instituted in any court within the local limits of whose jurisdiction any portion of the property is situate:
Provided that, in respect of the value of the subject-matter of the suit, the entire claim is cognizable by such court.
Hope this information is useful.