MATHS MASTER CHEAT SHEET (2026)

Class 12 | UP Board | English Medium | Topper Strategy

SECTION 1: SMART ATTEMPT STRATEGY 100 Marks

Bhai, 15 Minutes Reading Time ka best use: [cite: 647, 7189]

Q1-Q3 ke MCQs aur Very Short dimag mein solve kar lo.
Q7, Q8, Q9 ke 'OR / अथवा' options mein se apna favorite select kar lo [cite: 662, 7206]।

Order	Questions	Marks	Target Time
1️⃣	Q1, Q2, Q3 (Foundations)	18	45 Min
2️⃣	Q4, Q5 (Mid Zone)	33	65 Min
3️⃣	Q6, Q7, Q8, Q9 (Major)	49	70 Min

*Note: Q7-Q9 are 8-markers, don't miss them! [cite: 1004-1061, 7530-7591]

SECTION 2: CHAPTER-WISE EXPECTED TARGETS

1. Matrices & Determinants (Score: 13+)

High Probability

Equation based: $A^3 - 6A^2 + 5A + 11I = 0$ then find $A^{-1}$ [cite: 7119, 8336]।
Matrix Method: $AX = B$ for 3 variables [cite: 1006, 1456, 7533]।

2. Calculus (Score: 44)

The Backbone

Derivatives: $y = (cos x)^{sin x} + x^x$ type composite functions [cite: 2205, 3858]।
Area: Ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ area using integrals [cite: 3567, 5810, 6300]।
DE: Particular solution of $ \frac{dy}{dx} + Py = Q $ [cite: 1683, 2667]।

3. 3D Geometry & Vectors (Score: 17)

Shortest distance (न्यूनतम दूरी) between 2 lines [cite: 978, 2223, 6619]।
Dot product logic: $\vec{a} \cdot \vec{b} = 0$ for perpendicularity [cite: 2056, 3439]।

SECTION 3: LAST-DAY FORMULA CARD

Brahmastra Formulas: $$ \text{Shortest Distance: } d = \left| \frac{(\vec{b_1} \times \vec{b_2}) \cdot (\vec{a_2} - \vec{a_1})}{|\vec{b_1} \times \vec{b_2}|} \right| $$ $$ \text{Integration Property 4: } \int_{0}^{a} f(x) dx = \int_{0}^{a} f(a-x) dx $$ $$ \text{Matrix Inverse: } A^{-1} = \frac{1}{|A|} adj(A) $$ $$ \text{Linear DE (IF): } e^{\int P dx} $$

SECTION 4: EXAMINER IMPRESS TIPS

No Overwriting: Q1, Q2 mein cutting matlab marks loss.
Diagrams: Area under curves (Q9) aur LPP (Q6) mein graph compulsory hai [cite: 1049, 3138]।
LHL/RHL: Continuity check mein dono dikhana zaruri hai [cite: 4279-4281, 7319, 7481]।