Maths IIB — Revision Checklist

Tick off each topic as you revise. All 8 chapters from the official TGBIE 2025-26 annual plan. Paper: 75 marks · 3 hours.

Circle

Standard and general equation of circleEquation with given centre and radiusCentre, radius from general equationPosition of point and line with respect to circleTangent to a circle — condition and equationNormal to a circle

System of Circles

Angle between circlesOrthogonal circles — conditionRadical axis and radical centreCoaxial system of circles

Parabola

Standard equation and elementsOther forms of parabolaCondition for tangent and equation of tangentNormal to parabolaChord of contact

Ellipse

Standard equation of ellipseElements: foci, directrices, eccentricityFocal chord, latus rectumEquation of tangent and normalAuxiliary circle and eccentric angle

Hyperbola

Standard equation and elementsRectangular hyperbolaAsymptotesTangent and normal equationsConjugate hyperbola

Integration

Standard formulaeIntegration by substitutionIntegration by partsPartial fraction integrationReduction formulae (sin^n x, cos^n x)

Definite Integrals

Properties of definite integralsEvaluation using propertiesIntegral as area under curveFundamental theorem of calculus

Differential Equations

Order and degreeVariable separable methodHomogeneous equationsLinear differential equations (first order)Exact equations

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