Class XII students all over the country are furious. The CBSE maths exam this year has too many Higher Order Thinking Skills (HOTS) questions. And that’s not all. The paper also deviated from the usual pattern, with questions from obscure parts of the syllabus.
Think students and teachers are over-reacting? Let’s see if you can solve three of the toughest HOTS that have the students bothered. Post your answers in the comments box.
Q1. Let N denote the set of all natural numbers and R be the relation on N X N defined by (a,b) R(c,d) if ad(b+c) = bc(a+d). Show that R is an equivalence relation.
Q2. Find the differential equation representing the family of curves r = A/r ≠ B, Where A and B are arbitrary constants.
Q3. Find the local maxima and local minima of the function f(x) = sin x – cos x, 0 <x < 2x. Find the local maximum and minimum values
Yeah! Go figure!