Class 12 Maths NCERT Chapter-Wise Most Repeated Questions
With the CBSE class 12th Maths exam scheduled for 9 March 2026 and only 7 days remaining, focused revision is essential. The following chapter-wise most repeated questions are designed to support rapid preparation and conceptual reinforcement. These questions are highly expected based on recent examination patterns, and it is advisable to revise all of them thoroughly, as similar questions may appear in the examination.
Class 12 Maths NCERT Chapter-Wise Most Repeated Questions
Here are the most expected questions for the CBSE Class 12 Mathematics examination based on the NCERT syllabus. Students can use this curated list for last-week revision to strengthen important concepts, practice frequently tested problem types, and improve performance in the final examination.
Chapter 1: Relations and Functions
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How is the total number of relations on a finite set determined?
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How do you verify whether a relation is reflexive, symmetric, and transitive?
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How do you prove that a relation is an equivalence relation and determine its equivalence classes?
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How are the domain and range of a function determined?
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How do you test whether a function is bijective?
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How is the total number of bijective functions on a set calculated?
Chapter 2: Inverse Trigonometric Functions
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How are graphs of inverse trigonometric functions constructed?
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How is the principal value of an inverse trigonometric expression determined?
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How are expressions simplified using trigonometric substitution?
Chapter 3: Matrices
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How is a matrix constructed using a given rule aija_{ij}aij?
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How are unknown elements determined using equality of matrices?
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How is matrix multiplication performed?
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How are symmetric and skew-symmetric matrices identified?
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How is a matrix expressed as the sum of a symmetric and a skew-symmetric matrix?
Chapter 4: Determinants
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How is the collinearity of three points established using determinants?
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How is the area of a triangle evaluated using determinants?
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How are determinants evaluated using cofactor expansion?
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How are properties involving ∣adj(A)∣|\mathrm{adj}(A)|∣adj(A)∣ and ∣A⋅adj(A)∣|A \cdot \mathrm{adj}(A)|∣A⋅adj(A)∣ applied?
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How is a system of linear equations solved using the matrix method?
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How is an unknown matrix determined using the inverse method?
Chapter 5: Continuity and Differentiability
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How are unknown constants determined to ensure continuity of a function?
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How are parameters determined using differentiability conditions?
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How are points of discontinuity identified?
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How is logarithmic differentiation applied?
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How are derivatives of parametric functions determined?
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How are second-order derivatives computed?
Chapter 6: Application of Derivatives
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How are rate of change problems formulated and solved?
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How are intervals of increase and decrease of a function determined?
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How are absolute maximum and minimum values obtained?
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How are optimization problems solved using derivatives?
Chapter 7: Integrals
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How are trigonometric functions integrated using substitution?
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How is integration by parts applied?
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How is the method of partial fractions used in integration?
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How are definite integrals evaluated using properties?
Chapter 8: Application of Integrals
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How is the area under a curve determined using definite integrals?
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How is the area of a bounded region calculated?
Chapter 9: Differential Equations
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How are the order and degree of a differential equation determined?
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How are variable separable differential equations solved?
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How are homogeneous differential equations solved?
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How is the general solution of a linear differential equation obtained?
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How is a particular solution determined?
Chapter 10: Vector Algebra
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How are direction ratios and direction cosines determined?
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How is a unit vector obtained?
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How is the angle between two vectors determined using the scalar product?
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How is the projection of a vector on a line determined?
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How is the area of a triangle or parallelogram evaluated using vector product?
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How is collinearity established using vectors?
Chapter 11: Three-Dimensional Geometry
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How are direction ratios and direction cosines of a line determined?
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How is the equation of a line in space obtained?
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How is the angle between two lines determined?
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How is the shortest distance between skew lines calculated?
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How is the foot of the perpendicular determined?
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How is the image of a point in a line obtained?
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How are unknown values determined using parallel or perpendicular conditions?
Chapter 12: Linear Programming
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How is a linear programming problem solved graphically?
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How is the feasible region identified?
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How is an objective function maximized or minimized?
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How are multiple optimal solutions identified?
Chapter 13: Probability
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How is conditional probability applied?
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How is the multiplication theorem of probability used?
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How are independent events identified?
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How is Bayes’ theorem applied?
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How is the theorem of total probability used?
Final Analysis: Chapter-Wise Weightage (2023-2025)
This analysis is critical for strategic exam planning, particularly for students with limited preparation time.
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Begin by securing marks from easy, high-weightage chapters like Linear Programming (5 marks) and Probability (8 marks).
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Focus on Algebra and Vectors & 3D units, which are relatively straightforward and collectively offer 24 marks.
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Within Calculus, prioritize Application of Derivatives (15 marks) due to its increasing weightage.
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If time is a constraint, avoid getting overly engrossed in Integrals, as its recent weightage may not justify extensive effort compared to other scoring areas.