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Class XII - Mathematics
Full Syllabus - Top 50 Most Expected MCQs
Board: CBSE NCERT (Calculus, Vectors, Algebra, Probability)
📝 50 Multiple Choice Questions | ⏱️ 60 Minutes
Board Exam 2026 Preparation Test
📚 Quick Revision Formulas & Properties
- Matrices: (AB)⁻¹ = B⁻¹A⁻¹; |adj A| = |A|ⁿ⁻¹; A(adj A) = |A|I.
- Calculus: d/dx(u/v) = (v u' - u v')/v²; ∫₀ᵃ f(x)dx = ∫₀ᵃ f(a-x)dx (King Property).
- Vectors: **a** ⋅ **b** = |**a**||**b**|cosθ; **a** × **b** = |**a**||**b**|sinθ **n̂**. Projection of **a** on **b** = **a**⋅**b** / |**b**|.
- 3D Geometry: Angle between lines with DRs (a₁,b₁,c₁) & (a₂,b₂,c₂): cosθ = |a₁a₂ + b₁b₂ + c₁c₂| / (√(Σa₁²)√(Σa₂²)).
- Probability: P(A|B) = P(A∩B) / P(B); If independent, P(A∩B) = P(A)P(B).
Disclaimer: We are not affiliated with NCERT. These questions are created for practice based on the latest rationalised syllabus. Students should refer to NCERT textbooks for final authority.
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