CUET UG Mathematics 2022 Question Paper | Part 2 | Detailed Analysis & Shortcuts | Aspiring Aces

Watch the final detailed solution of the CUET UG Mathematics 2022 Question Paper (Part 2). In this session, our expert faculty at Aspiring Aces solves the remaining high-level questions from the first-ever CUET exam.
From complex Area under Curves and Definite Integrals to the Total Probability Theorem, this video covers the "standard" logic and "smart shortcuts" needed to tackle the 2025/26 entrance exams. Whether you are aiming for DU, BHU, or other top universities, mastering these PYQs is your key to a 100 percentile.

🎯 What you will learn in this video:
✅ Determinants: Evaluating complex determinants using properties and distinct number logic.
✅ Calculus (Area): Calculating area between two parabolas, trigonometric curves, and linear boundaries.
✅ Calculus (Integration): Advanced substitution techniques, anti-derivatives, and definite integral properties.
✅ LPP (Linear Programming): Identifying feasible regions, corner point methods, and analyzing "no feasible region" cases.
✅ Matrices: Order of operations, transpose logic, and symmetry.
✅ Probability: Total Probability Theorem and Conditional Probability (Bag and Ball problems).

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⏱️ Timestamps & Chapters:
0:00 - Introduction to Part 2
1:02 - Q32: Evaluating Determinants with Distinct Numbers (A, B, C)
10:14 - Q33: Evaluating Determinants with Variables (x & Theta)
13:40 - Q34: Area Bounded by sin x, cos x, and Y-axis
17:42 - Q35: Area Bounded by Linear Equations (y = 1, y = -1, and Y-axis)
23:54 - Q36: Area Bounded between Two Parabolas (y2 =6x and x2 =6y)
28:54 - Q37: Equating Two Determinants (Finding x)
29:51 - Q38: Complex Area Calculation (Quadratic Curves Case)
41:05 - Q39: Definite Integration via Even/Odd Properties
41:50 - Q40: LPP Graphing & Inequity Analysis
44:10 - Q41: Finding Anti-Derivative (Indefinite Integration)
46:10 - Q42: LPP Corner Point Method for Maximum Value
47:35 - Q43: Integration using tan −1 Property
48:38 - Q44: Conditional Probability Identity P(E∣F)=P(F∣E)
50:23 - Q45: Finding f(x) from f ′(x) (Fundamental Integration)
52:23 - Q46: Probability - Dice & Prime/Even Number Logic
55:24 - Q47: Integration of cos2x with Substitution
57:36 - Q48: Logarithmic Substitution in Integration
59:00 - Q49: Multiplicative Rule of Probability (Sampling without replacement)
1:02:52 - Q50: Advanced Substitution Technique in Integration
1:06:33 - Q51: Total Probability Theorem (Bag 1 & Bag 2 Case Study)
1:18:49 - Conclusion & 2022 PYQ Series Wrap-up

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