📝 Board Notes: Pass to Topperबोर्ड नोट्स: पास से टॉपर तकBoard Notes: Pass se Topper tak
📐 Class 12 Mathsकक्षा 12 गणितClass 12 Maths
Chapters ranked by their share of marks in past papersपिछले पेपरों में अंकों के हिस्से के क्रम में अध्यायPichhle papers mein marks ke hisaab se chapters
📊 Based on 7 years (2019–2026) of UP Board papers, current syllabus: 38 sets readवर्तमान सिलेबस के 7 वर्षों (2019–2026) के यूपी बोर्ड पेपरों पर आधारित: 38 सेट पढ़े गएCurrent syllabus ke 7 saal (2019–2026) ke UP Board papers par based: 38 sets padhe (2019, 2020, 2022, 2023, 2024, 2025, 2026)
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📚 Chaptersअध्यायChapters
5Continuity and Differentiabilityसांतत्य तथा अवकलनीयताContinuity and Differentiability10% of marks10% अंक10% marks · 🔥 7 · Notes readyनोट्स तैयारNotes ready7IntegralsसमाकलनIntegrals (Samakalan)10% of marks10% अंक10% marks · 🔥 7 · Notes readyनोट्स तैयारNotes ready4DeterminantsसारणिकDeterminants9% of marks9% अंक9% marks · 🔥 4 · Notes readyनोट्स तैयारNotes ready13Probabilityप्रायिकताProbability8% of marks8% अंक8% marks · 🔥 4 · Notes readyनोट्स तैयारNotes ready9Differential Equationsअवकल समीकरणDifferential Equations8% of marks8% अंक8% marks · 🔥 5 · Notes readyनोट्स तैयारNotes ready10Vector Algebraसदिश बीजगणितVector Algebra8% of marks8% अंक8% marks · 🔥 5 · Notes readyनोट्स तैयारNotes ready6Application of Derivativesअवकलज के अनुप्रयोगApplication of Derivatives6% of marks6% अंक6% marks · 🔥 4 · Notes readyनोट्स तैयारNotes ready11Three Dimensional Geometryत्रिविमीय ज्यामितिThree Dimensional Geometry6% of marks6% अंक6% marks · 🔥 2 · Notes readyनोट्स तैयारNotes ready1Relations and Functionsसंबंध एवं फलनRelations and Functions6% of marks6% अंक6% marks · 🔥 5 · Notes readyनोट्स तैयारNotes ready12Linear Programmingरैखिक प्रोग्रामनLinear Programming5% of marks5% अंक5% marks · 🔥 1 · Notes readyनोट्स तैयारNotes ready3Matricesआव्यूहMatrices5% of marks5% अंक5% marks · 🔥 4 · Notes readyनोट्स तैयारNotes ready2Inverse Trigonometric Functionsप्रतिलोम त्रिकोणमितीय फलनInverse Trigonometric Functions4% of marks4% अंक4% marks · 🔥 3 · Notes readyनोट्स तैयारNotes ready8Application of Integralsसमाकलनों के अनुप्रयोगApplication of Integrals3% of marks3% अंक3% marks · 🔥 1 · Notes readyनोट्स तैयारNotes ready
🏅 Pass-guarantee minimum: learn these firstपास होने के लिए न्यूनतम: पहले ये पढ़ेंPass hone ke liye minimum: pehle yeh padhiye
Topics that came in most of the years we read (🔥). Start here.वे टॉपिक जो पढ़े गए ज़्यादातर वर्षों में आए (🔥)। यहीं से शुरू करें।Woh topics jo padhe gaye zyadatar saalon mein aaye (🔥). Yahin se shuru kijiye.
1Definite integrals using properties (P4, odd/even, |x| type)गुणधर्मों द्वारा निश्चित समाकलन (P4, सम/विषम, |x| वाले)Properties se definite integral (P4, odd/even, |x| type)🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut important
Came every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 4, 5, 8अंक: 1, 2, 4, 5, 8Marks: 1, 2, 4, 5, 82Scalar (dot) product and angle between vectorsअदिश (बिंदु) गुणनफल और सदिशों के बीच का कोणScalar (dot) product aur vectors ke beech ka angle🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 4, 5अंक: 1, 2, 4, 5Marks: 1, 2, 4, 53Solving an LPP by the graphical (corner point) methodआलेखीय (कोनीय बिंदु) विधि से रैखिक प्रोग्रामन समस्या का हलGraphical (corner point) method se LPP solve karna🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 5, 8अंक: 1, 2, 5, 8Marks: 1, 2, 5, 84One-one (injective) and onto (surjective) functionsएकैकी तथा आच्छादक फलनOne-one (injective) aur onto (surjective) function🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 4, 5अंक: 1, 2, 4, 5Marks: 1, 2, 4, 55Independent eventsस्वतंत्र घटनाएँIndependent events🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 5अंक: 1, 2, 5Marks: 1, 2, 56Conditional probability P(A|B)सप्रतिबंध प्रायिकता P(A|B)Conditional probability P(A|B)🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 5, 8अंक: 1, 2, 5, 8Marks: 1, 2, 5, 87Solve a system of linear equations by the matrix method (8 marks)आव्यूह विधि से रैखिक समीकरण निकाय हल करना (8 अंक)Matrix method se linear equations solve karna (8 marks)🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 8अंक: 8Marks: 88Shortest distance between two lines (skew and parallel)दो रेखाओं के बीच न्यूनतम दूरी (विषमतलीय और समांतर)Do lines ke beech shortest distance (skew aur parallel)🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 5, 8अंक: 5, 8Marks: 5, 89Adjoint and inverse of a matrixआव्यूह का सहखंडज तथा प्रतिलोमMatrix ka adjoint aur inverse🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 5, 8अंक: 1, 2, 5, 8Marks: 1, 2, 5, 810Linear differential equation dy/dx + Py = Qरैखिक अवकल समीकरण dy/dx + Py = QLinear differential equation dy/dx + Py = Q🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 3, 5, 8अंक: 1, 2, 3, 5, 8Marks: 1, 2, 3, 5, 811Continuity at a point / find kकिसी बिंदु पर सांतत्य / k ज्ञात करनाPoint par continuity / k nikalna🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 4, 5अंक: 1, 2, 4, 5Marks: 1, 2, 4, 512Second-order derivative: "show that" relationsद्वितीय कोटि अवकलज: "दिखाइए कि" संबंधSecond order derivative: "dikhaiye ki" relations🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1, 2, 3, 4, 5, 8अंक: 1, 2, 3, 4, 5, 8Marks: 1, 2, 3, 4, 5, 813Logarithmic differentiation (x^x, x^(sin x) type)लघुगणकीय अवकलन (x^x, x^(sin x) प्रकार)Logarithmic differentiation (x^x, x^(sin x) type)🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 2, 3, 4, 5, 8अंक: 2, 3, 4, 5, 8Marks: 2, 3, 4, 5, 814Maxima–minima word problems (8 marks)उच्चिष्ठ–निम्निष्ठ शाब्दिक प्रश्न (8 अंक)Maxima–minima word problems (8 marks)🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 2, 5, 8अंक: 2, 5, 8Marks: 2, 5, 815Order and degree of a differential equationअवकल समीकरण की कोटि और घातDifferential equation ka order aur degree🔥 Asked in 7 of 7 years🔥 7 में से 7 वर्ष पूछा गया🔥 Aaya hai 7/7 saal🔴 Very importantबहुत महत्वपूर्णBahut importantCame every yearहर वर्ष आयाHar saal aaya: 2019202020222023202420252026
Marks: 1अंक: 1Marks: 1🚫 Removed from the current syllabus, skip itवर्तमान पाठ्यक्रम से हटाया गया, इसे छोड़ देंCurrent syllabus se hata diya gaya, ise chhod dijiye
- Inverse of a matrix by elementary operations (removed from rationalised NCERT (2023-24); not in UPMSP 2026-27 syllabus text)
- Proofs using properties of determinants (properties section removed from rationalised NCERT (2023-24); UPMSP 2026-27 text does not list it)
- Rolle's theorem and Mean Value Theorem (removed from rationalised NCERT (2023-24); not in UPMSP 2026-27)
- Tangents and normals (removed from rationalised NCERT (2023-24); not in UPMSP 2026-27 (applications listed: rate of change, increasing/decreasing, maxima/minima))
- Approximations using differentials (removed from rationalised NCERT; not in UPMSP 2026-27)
- Definite integral as limit of a sum (removed from rationalised NCERT; not in UPMSP 2026-27)
- Area between two curves (removed from rationalised NCERT; UPMSP 2026-27 lists only area under simple curves, lines, circle/parabola/ellipse (standard form))
- Formation of a differential equation (removed from rationalised NCERT; UPMSP 2026-27 does not list it)
- Scalar triple product (removed from rationalised NCERT; not in UPMSP 2026-27)
- Plane (equation, angle, distance, coplanarity) (removed from rationalised NCERT 2023-24; UPMSP 2026-27 3D lists only lines)
- Random variable, probability distribution, mean/variance (not in UPMSP 2026-27 probability list (conditional, multiplication rule, independent events, total probability, Bayes))
- Bernoulli trials and binomial distribution (removed from rationalised NCERT; not in UPMSP 2026-27)