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TGBIE · 1st Year · MPC

Mathematics IB

TS Intermediate 1st Year Mathematics IB (Coordinate Geometry & Calculus) — 10 chapters based on the official TGBIE Annual Plan 2025-26. Formula sheets, important questions, revision checklists and more.

Study Resources

Syllabus — 10 Chapters (2025-26)

1
Locus
Definition, equations of locus, problems
2
Transformation of Axes
Translation, rotation of axes, derivations
3
The Straight Line
Normal form, symmetric form, all forms, angle between lines, perpendicular distance, concurrent lines
4
Pair of Straight Lines
Equations through origin, angle between pair, perpendicular/coincident conditions, bisectors, second degree general equation
5
Three Dimensional Coordinates
Coordinates, section formula, centroid
6
Direction Cosines and Direction Ratios
Direction cosines, direction ratios, angle between lines
7
Plane
Cartesian equation of plane, illustrations
8
Limits and Continuity
Intervals, neighbourhoods, limits, standard limits, continuity
9
Differentiation
Derivative, elementary properties, trigonometric, inverse trig, hyperbolic derivatives, methods of differentiation, second-order derivatives
10
Applications of Derivatives
Errors and approximations, tangents and normals, Rolle's theorem, MVT, increasing/decreasing functions, maxima and minima
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