1. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions. 2. Inverse Trigonometric Functions Definition, range, domain, ...

The National Institute of Open Schooling (NIOS) has released the updated Class 12 syllabus for the 2025-26 academic year, a critical resource for all students preparing for the upcoming examinations.

Let $X$ and $Y$ be metric spaces and $f: X \rightarrow Y$ a Borel measurable function. Does $f$ have to be of bounded class, i.e. are the sets $f^{-1}\lbrack H ...