CTET Paper II (Mathematics and Science) 1 Jan 2022 Solved Paper

Concept:The teacher uses an open-ended algebraic problem to encourage comparison of quadratic equations and assess reasoning skills, not just obtain a single answer.Explanation:The graphs $x = y^2$ and $x = y^2 + 2$ are parabolas opening to the right. They are parallel and never intersect because adding a constant shifts the graph. The question asks students to test conjectures and generalize for $x = y^2 + b$. This promotes analysis and evaluation. Option (a) is correct because comparing quadratic equations is a key learning outcome. Option (c) is correct because the teacher can assess reasoning skills through the different approaches students use. Option (b) is wrong because the teacher should focus on the process, not just the final answer. Option (d) is wrong because such questions encourage deeper understanding, not confusion.Answer:(a) and (c) are correct. Hence the correct option is A. (a) and (c).