Math Lab

Class X Mathematics

Mathematics

Real numbers, polynomials, quadratics, AP, trigonometry, circles, probability.

1

Chapter 1: Real Numbers

Mathematics

fundamental theorem of arithmeticHCF and LCMirrational numbersproof by contradictionprime factorisation
2

Chapter 2: Polynomials

Mathematics

zeroes of a polynomialgeometrical meaningrelationship between zeroes and coefficientsquadratic polynomialscubic polynomials
3

Chapter 3: Pair of Linear Equations in Two Variables

Mathematics

graphical methodsubstitutioneliminationconsistencyword problems
4

Chapter 4: Quadratic Equations

Mathematics

standard formfactorisationquadratic formulacompleting the squarenature of rootsword problems
5

Chapter 5: Arithmetic Progressions

Mathematics

AP basicsgeneral termsum of n termsapplicationsarithmetic mean
6

Chapter 6: Triangles

Mathematics

similar trianglesbasic proportionality theoremAA AAA SSS SAS similarityareas of similar trianglesPythagoras theorem
7

Chapter 7: Coordinate Geometry

Mathematics

distance formulasection formulamidpointcollinearityapplications
8

Chapter 8: Introduction to Trigonometry

Mathematics

trigonometric ratiosspecific anglestrigonometric identitiescomplementary anglesright triangles
9

Chapter 9: Some Applications of Trigonometry

Mathematics

heights and distancesangle of elevationangle of depressiontrigonometric word problems
10

Chapter 10: Circles

Mathematics

tangents to circlestangent lengthtwo tangents from external pointtangent-radius perpendicularitytangent properties
11

Chapter 11: Areas Related to Circles

Mathematics

circle areacircumferencesectorsegmentareas of combined figures
12

Chapter 12: Surface Areas and Volumes

Mathematics

cuboidcubecylinderconespherehemisphere
13

Chapter 13: Statistics

Mathematics

grouped datameanmedianmodecumulative frequencyogive
14

Chapter 14: Probability

Mathematics

experimental probabilitytheoretical probabilitysample spaceequally likely outcomescomplementary events