Question: What empire was formed by Hambirao's sister?

Context paragraphs:
Partition of the Ottoman Empire: The partition of the Ottoman Empire (Armistice of Mudros, 30 October 1918 – Abolition of the Ottoman Sultanate, 1 November 1922) was a political event that occurred after World War I and the occupation of Constantinople by British, French and Italian troops in November 1918.  The partitioning was planned in several agreements made by the Allies early in the course of World War I, notably the Sykes-Picot Agreement.  As world war loomed, the Ottoman Empire sought protection but was rejected by Britain, France, and Russia, and finally formed the Ottoman–German Alliance.  The huge conglomeration of territories and peoples that formerly comprised the Ottoman Empire was divided into several new states.  The Ottoman Empire had been the leading Islamic state in geopolitical, cultural and ideological terms.  The partitioning of the Ottoman Empire led to the rise in the Middle East of Western powers such as Britain and France and brought the creation of the modern Arab world and the Republic of Turkey.  Resistance to the influence of these powers came from the Turkish national movement but did not become widespread in the post-Ottoman states until after World War II.

Khanzada Begum: Khanzada Begum ( 1478 – 1545) was a Timurid princess and the eldest daughter of Umar Shaikh Mirza II, the "amir" of Ferghana.  She was also the dearly beloved older sister of Babur, the founder of the Mughal Empire.  She and her brother remained deeply attached to each other all their lives, a period during which the family progressed from ruling a tiny and obscure principality in Central Asia to ruling a large portion of the Indian subcontinent.  Babur conferred on his sister, the honorable title of "Padshah Begum" and she was really the first lady of his Empire after his death.

Shivaji: Shivaji Bhonsle (] ; c. 1627/1630 – 3 April 1680), also known as Chhatrapati Shivaji Maharaj, was an Indian warrior king and a member of the Bhonsle Maratha clan.  Shivaji carved out an enclave from the declining Adilshahi sultanate of Bijapur that formed the genesis of the Maratha Empire.  In 1674, he was formally crowned as the Chhatrapati (Monarch) of his realm at Raigad.

Hong Chengchou: Hong Chengchou (1593–1665), courtesy name Yanyan and art name Hengjiu, was a Chinese official who served under the Ming and Qing dynasties.  He was born in present-day Liangshan Village, Yingdu Town, Nan'an County, Quanzhou, Fujian Province, China.  After obtaining the position of a "jinshi" (進士; successful candidate) in the imperial examination in 1616 during the reign of the Wanli Emperor, he joined the civil service of the Ming Empire and served as an official in Shaanxi.  During the reign of the Chongzhen Emperor (r. 1627–1644), he was promoted to Minister of War and Viceroy of Suliao (薊遼; an area which included parts of present-day Shandong, Hebei and Tianjin).  In 1642, he surrendered and defected to the Manchu-led Qing Empire after his defeat at the Battle of Songjin.  He became one of the Qing Empire's leading Han Chinese scholar-politicians.  While he was in office, he encouraged the Manchu rulers to adopt Han Chinese culture and provided advice to the Qing government on how to consolidate its control over the former territories of the fallen Ming Empire.  Apart from Dorgon and Fan Wencheng (范文程), Hong Chengchou was regarded as one of the most influential politicians in the early Qing dynasty.  However, he was also villainised by the Han Chinese for his defection to the Qing Empire and for his suppression of the Southern Ming dynasty (a short-lived state formed by remnants of the fallen Ming Empire).

Hambirao Mohite: Hambirrao Mohite, Born at village Talbid(Karad) dist.  Satara, was Sardar Senapati(Commander-in-Chief, Duke) of the Maratha Empire and brother of Soyarabai, Shivaji's Queen.  He was father of Tarabai, wife of Rajaram Chhatrapati and the first regent of Kolhapur.

Post-Mauryan coinage: Post-Mauryan coinage refers to the period of coinage production in India, following the breakup of the Maurya Empire (321-185 BCE), until the rise of the Gupta Empire in 320 CE.  When Mauryan central power disappeared circa 185 BCE, the vast Maurya Empire was broken into numerous new polities.  It rather unified coinage, made of punch-marked coins, also broke up.  In the northwest, several small independent entities were formed, which started to strike their own coins, and the Indo-Greeks invaded, bringing together with them, among other influences, new coinage practices and techniques, particularly in the area of Gandhara.  In the east, the new Sunga Empire was formed, and in the south the Satavahana Empire appeared, all with their specific coinage.

Bahram-Shah of Ghazna: Bahram-Shah (full name:"Yamin ad-Dawlah wa Amin al-Milla Abul-Muzaffar Bahram-Shah") (1084 - 1157) was Sultan of the Ghaznavid empire from 25 February 1117 to 1157.  Son of Mas'ud III and Gawhar Khatun, sister of Sanjar, sultan of the Great Seljuq empire.  During his entire reign, his empire was a tributary of the Great Seljuq empire.

Armenian resistance during the Armenian Genocide: The Armenian resistance is a name given to the military and political activities of the Armenians under the Armenian political parties of Henchak, Armenakan, Dashnaktsutiun against the Ottoman Empire during World War I, considered a struggle for freedom and resistance to the Armenian Genocide by the Armenian combatants, but high treason by the Ottoman Empire.  These Armenian national organizations established Armenian fedayeen (Armenian: Ֆէտայի ) generally referred to as Armenian irregular units and the Russian Empire formed Armenian volunteer units, which recruited Ottoman Armenians from behind the Ottoman lines, to help the Russian Caucasus Army against the Ottoman Empire.  During this period the Siege of Van on April 20, 1915, and consequent establishment of the Administration for Western Armenia were significant events.  The Ottoman Minister of Interior Mehmed Talat Pasha considered the Armenian population a fifth column within the Empire, blaming the rise of the Armenian national liberation movement for the overall unrest inside the Empire in his that ended with arrests in Red Sunday.

Empire of Trebizond: The Empire of Trebizond or the Trapezuntine Empire was a monarchy that flourished during the 13th through 15th centuries, consisting of the far northeastern corner of Anatolia and the southern Crimea.  Originally formed during a revolt against the usurpation of the imperial throne by the grandsons of Emperor Andronikos I Komnenos, Trebizond (current Trabzon, Turkey, with which the name of the empire is a cognate) became a Byzantine Greek successor state established after the fall of the Eastern Roman (Byzantine) Empire in the Fourth Crusade, along with the Empire of Nicaea and the Despotate of Epirus.  The Emperors of Trebizond pressed their claim on the Imperial throne for decades after the Nicaean reconquest of Constantinople in 1261.

Warsaw–Vienna railway: The Warsaw-Vienna Railway (Polish: "Kolej Warszawsko-Wiedeńska" , German: "Warschau-Wiener Eisenbahn" ) was a railway system which operated in Congress Poland, a part of the Russian Empire, from 1845 until 1912, when it was nationalized by the Russian government.  The main component of its network was a line 327.6 km in length from Warsaw to the Granica (English: "Border") station (today Maczki, located in a suburb of Sosnowiec) on the border with the Austrian Empire, from 1867 known as the Austro-Hungarian Empire.  There the line reached the Austrian railway network, offering connections i.a. to Vienna (hence the name of the line).  It was the first railway line built in Congress Poland and the second in the Russian Empire, after a short stretch of 27 km between Tsarskoye Selo and Saint Petersburg (Saint Petersburg - Tsarskoe Selo Railway) which opened in 1837.  The line used the standard European gauge ( ), as opposed to all other railways in the Russian Empire which used the broad gauge ( ), hence it formed a system physically separated from other Russian railways.

Supporting paragraphs: Hambirao Mohite Shivaji
Answer: Maratha Empire