Shah Waliullah, a prominent Islamic scholar, was deeply concerned about the rising power of the Marathas and the decline of Muslim political authority in India. He wrote to Ahmad Shah Abdali, the ruler of Afghanistan, urging him to intervene and protect the interests of the Muslims, which led to the decisive Third Battle of Panipat in 1761.

The Umayyad Caliphate, the second of the four major Islamic caliphates, ruled from 661 A.D. to 750 A.D. Established by Muawiyah ibn Abi Sufyan following the First Fitna, the dynasty expanded the Islamic empire significantly, stretching from the Iberian Peninsula in the west to the Indus River in the east, before being overthrown by the Abbasid Revolution.

Qutbuddin Aibak, a former general of Muhammad Ghori, founded the Mamluk or Slave Dynasty in 1206 following the death of his master. By declaring independence and establishing his capital in Delhi, he laid the foundation for the Delhi Sultanate, which marked the beginning of sustained Muslim rule in northern India.

Razia Sultana was the daughter of Iltutmish and a notable ruler of the Mamluk or Slave dynasty. She holds the distinction of being the first and only female Muslim ruler of the Delhi Sultanate, reigning from 1236 to 1240 AD.

Qutbuddin Aibak, a former general of Muhammad Ghori, established the Mamluk (Slave) dynasty in 1206. He is widely considered the first independent Muslim ruler of the Delhi Sultanate, marking the beginning of continuous Muslim political authority in northern India, distinct from the earlier raids conducted by Mahmud of Ghazni.

The Battle of Badr was a pivotal military engagement fought in 2 A.H. (624 A.D.) between the Muslims of Madina and the Quraish of Makkah. It was the first major battle in Islamic history and resulted in a significant victory for the Muslims, which greatly boosted their morale and established their presence as a formidable force in the region.

The Battle of Badr occurred in the month of Ramadan in 624 A.D. (2 A.H.). It was a pivotal conflict between the Muslims of Madina, led by the Prophet Muhammad (PBUH), and the Quraish of Makkah. Despite being significantly outnumbered, the Muslim forces achieved a decisive victory, which greatly boosted the morale of the early Muslim community and established their presence as a significant power in the region.

Jaan de Hoop Scheffer served as the 11th Secretary General of NATO from 2004 to 2009. This question is outdated as the current Secretary General is different, but based on the provided options, he is the designated correct answer.

Abu Rayhan al-Biruni was a polymath of the Islamic Golden Age who made profound contributions to various scientific disciplines, including mathematics, astronomy, and geography. His work in trigonometry was particularly advanced, as he developed methods for calculating sine and cosine values with high precision. His scholarly efforts helped bridge the gap between ancient knowledge and the development of modern mathematical sciences during the medieval period.

Abu Rayhan al-Biruni was a brilliant scholar of the Islamic Golden Age. He conducted extensive scientific inquiries into physics and astronomy. Among his many contributions, he provided early observations regarding the nature of light and sound, noting that the speed of light is much greater than that of sound, a foundational concept in the study of optics and acoustics.