Revision - Relations, Functions, Inverse Trig
Maths Higher · Grade 12 · Week 42 · 25 questions
Revision is a core Grade 12 mathematics chapter carrying significant board weight, covering Relations, Functions, and Inverse Trig. For JEE, speed on these standard problem types is critical — build fluency through timed practice.
What you'll practise
- Identify Relations
- Identify Functions
- Evaluate Inverse Trig
- Solve CBSE board-pattern problems from revision including NCERT exemplar-level questions
All 25 questions in this Revision - Relations, Functions, Inverse Trig quiz
Grade 12 Maths Higher — Revision - Relations, Functions, Inverse Trig: 25 practice questions with instant scoring and explanations.
- Equivalence relation properties:
- Functions bijective definition:
- Inverse function f⁻¹:
- Inverse trig domain/range:
- Composition (f∘g)(x):
- Binary operation properties:
- sin⁻¹(sin(x)) = x only if:
- tan⁻¹(x) + tan⁻¹(y):
- sin⁻¹(x) + cos⁻¹(x):
- Relation vs function:
- Continuity at point a:
- Differentiability requirement:
- Derivative chain rule:
- Implicit differentiation dy/dx:
- Parametric curve differentiation:
- Higher derivatives:
- Mean Value Theorem:
- Rolle's Theorem:
- In the context of Revision: Taylor series:
- In the context of Revision: Extrema tests:
- In the context of Revision: Optimization:
- Integration by parts:
- Fundamental Theorem Calculus:
- Substitution u-substitution:
- If R = {(a,b) : a = b} on set A, R is:
Question 1 of 250 correct so far