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Artham Resources Class 12 Mathematics Half-Yearly Sample Question Paper with Solutions (Set 14), crafted strictly per the CBSE 2026–27 pattern and rationalized NCERT syllabus. It provides targeted, rigorous evaluation focusing comprehensively on Vector Analysis and Spatial Geometry, uniting Vector Algebra and Three-Dimensional Geometry (direction cosines and direction ratios of directed line segments, collinearity and coplanarity of vectors, scalar dot product, vector cross product with parallelogram area interpretations, vector projection, symmetric Cartesian and vector forms of line equations, angle between non-parallel lines, shortest distance between skew lines, and perpendicular distance from a point to a line in three dimensions). Structured with the complete CBSE question typology—objective MCQs, Assertion-Reason items, multi-step geometric proofs, line-equation verifications, and an analytical spatial tracking Case-Based question.