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Thursday, February 13, 2020

All mathematics formula from chapter 6 to 15 for CBSE class 10th

                    -:Triangles:-

(Basic-Propotionality Theorem) OR (Thale's Theorem)

Converse of Thale's Theorem


Criteria for Similarity of two Triangles

Two triangles are similar, if 
1.their corresponding angles are  equal and
2.their corresponding sides are proportional

Pythagoras' Theorem

                -: Trigonometry:-


Trigonometric-Ratios of 0°,30°,45°,60°,90°

 Trigonometric-Ratios of Complementary Angles


         -: Coordinate Geometry:-

Distance Formula


Section Formula


Midpoint Formula


Centroid of a Triangle
The point of intersection of the medians of a triangle is called its centroid.

Area of triangle


                       -: Circles:-

Theorems :
       

         -:Area Related to Circles:-

Formulae on Area of circle, sector and segments


       -: Surface Area and Volume:-

Frustum of Cone



             -:Statistics & Probability:-

Three measures of central tendency are useful for analysing the data, namely
(a) Mean
(b) Median
(c) Mode

Mean of Grouped data


To calculate the mean of grouped data, we have following three methods
  1. Direct method
  2. Assumed mean method
  3. Step deviation method

Direct method

Assumed Mean method


Step deviation method

Median for Grouped Data



Mode for Grouped Data

  Probability


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