Correct Option
Statement 1 is correct.
- The Sushruta Samhita, an ancient Sanskrit treatise on medicine and surgery, provides detailed descriptions of numerous specialized surgical instruments (yantras and shastras) used for a wide range of complex procedures. These instruments were in common use by the 1st century AD, as indicated by the comprehensive nature of the text, which is generally dated between the 6th century BCE and 1st century CE.
Statement 3 is correct.
- The concept of the sine of an angle was established in India by the 5th century AD. Aryabhata, in his influential astronomical and mathematical work Aryabhatiya (c. 499 CE), introduced the trigonometric functions of jya (sine) and kojya (cosine), significantly contributing to the field of trigonometry.
Statement 4 is correct.
- The concept of cyclic quadrilaterals was known in India by the 7th century AD. The mathematician Brahmagupta, in his treatise Brahmasphutasiddhanta (c. 628 CE), presented a formula for the area of a cyclic quadrilateral and described various properties related to its diagonals, known as Brahmagupta's theorem.
Incorrect Options
Statement 2 is incorrect.
- While ancient Indian surgery, particularly as described in the Sushruta Samhita, achieved remarkable advancements in reconstructive procedures like rhinoplasty, there is no historical or textual evidence to support the practice of internal organ transplantation in the human body by the beginning of the 3rd century AD or any other period in ancient India.