Unit – I – ALGEBRA

Matrix and its applications are very important part of Mathematics. Also it is one of the most powerful tools of Mathematics. Matrix notation and operation are used in electronic spread sheet programmes for personal computer, business budgeting, sales projection, cost estimation, analyzing the results of an experiment etc. Also many physical operations such as magnification, rotation and reflection through a plane can be represented mathematically by matrices. Also matrix used in Cryptography. A matrix is a rectangular array of numbers arranged in rows and columns enclosed by brackets. If there…

Read More
ACADEMICS జంతువులు పిల్లలకోసం ప్రత్యేకం 

India – The most dangerous snakes live in this world

The 7th largest country has a population of 1.3 billion! Unfortunately for the Indian people, some of the world’s deadliest snakes also call India home. The Naja Caspian Cobra – The world’s most venomous Cobra is found in the Kashmir region in Northern India Spectacled Cobra – Planet Earth’s deadliest Cobra! Responsible for over twenty thousand snakebite fatalities each year! This makes the iconic snake a member of India’s Big Four! Monocled Cobra – The third most feared Cobra in India is a spitter! This infamous snake has been known to bite and kill…

Read More

Karl Rock (New Zealand) – You tube travel blogger

YouTube travel blogger Karl Rock’s videos about India, Pakistan, who is originally from New Zealand came to India in 2014 married Indian girl and wanted to settle in India after obtaining Indian citizenship. He learned few Hindi words. But in the mean time on his tourist visa, He went to Indian Kashmir and also he went to Pakistan visited places like Occupied Kashmir, Balakot, where Indian Airforce conducted surgical strikes wearing muslim turban and uploaded his trip videos. In those videos someone from pakistan talked about tea fantastic which did…

Read More

1.3 – N – CONICS – Exercise Problems with solutions

Part – A Prove that the equation  x2  –  2xy  + y2 – 16x – 12y + 22 = 0 is a parabola.  Soln:    x2  –  2xy  + y2 – 16x – 12y + 22 = 0                    —————–   ( 1 ) Condition for  ( 1 ) to represent parabola is  h2 = ab From ( 1 )   a =  1,    b = 1 2h = -2  ⇒  h = -1 h2 = ab (-1)2  =   1 ( 1) 1 = 1 1 = 1.                 ∴  ( 1 )   represents a…

Read More

1.3 CONICS

Conic: A conic is defined as the locus of a point which moves such that its distance from a fixed point is always ‘e’ times its distance from a fixed straight line. Focus: The fixed point is called the focus of the conic. Directrix: The fixed straight line is called the directrix of the conic. Eccentricity: The constant ratio is called the eccentricity of the conic. General equation of a conic  ax2  +  2hxy  + by2 + 2gx + 2fy + c = 0  represents (i) a circle if a…

Read More

Tamil Nadu Diploma Engineering Mathematics – II Unit – I ( 1.1 – Analytical Geometry – I) material 2020-21 ( N-Scheme)

UNIT – I     ANALYTICAL GEOMETRY 1.1    ANALYTICAL GEOMETRY  I Straight Line: When a variable point moves in accordance with a geometrical law, the point will trace some curve. This curve is known as the locus of the variable point. If a relation in x and y represent a curve then (i) The co-ordinates of every point on the curve will satisfy the relation. (ii) Any point whose co-ordinates satisfy the relation will lie on the curve. Straight line is a locus of a point. https://clnk.in/qfwg Slope or gradient of a…

Read More
ACADEMICS APPLIED MATHEMATICS Polytechnic Mathematics 

Tamil Nadu Diploma ( Polytechnic ) Applied Mathematics material ( 2019-20 ) download

Text book on Applied  Mathematics Previous Year Question Papers from April 2016 to November 2019Exercise problems with solutions   Tamil Nadu Diploma Applied Mathematics  ( Important formulas ) Dote prescribed text book Video lessons Unit – I  Probabitlity Distribution – I Unit – II  Probabitlity Distribution – II Unit – III  Application of Differentiation Unit – IV  Application of Integration – I 

Read More