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TGBIE · 2nd Year · MPC

Mathematics IIB

TS Intermediate 2nd Year Mathematics IIB (Coordinate Geometry & Calculus) — 8 chapters based on the official TGBIE Annual Plan 2025-26. 75 marks, 3 hours.

Study Resources

Syllabus — 8 Chapters (2025-26)

1
Circle
Standard form, centre and radius, parametric equations, tangent, chord of contact, pole and polar, pair of tangents
2
System of Circles
Angle between intersecting circles, radical axis, radical centre, common chord and tangent
3
Parabola
Conic sections, parabola in standard form, parametric equations, tangent and normal, conditions for tangency
4
Ellipse
Ellipse in standard form, parametric equations, tangent and normal, conditions for tangency
5
Hyperbola
Hyperbola in standard form, parametric equations, tangent and normal, asymptotes, conditions for tangency
6
Integration
Inverse process of differentiation, standard forms, substitution, integration by parts, partial fractions, reduction formulae
7
Definite Integrals
Limit of sum, Fundamental theorem, Properties of definite integrals, Reduction formulae, Area under curves
8
Differential Equations
Order and degree, Variables separable, Homogeneous, Non-homogeneous, Linear differential equations
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