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…

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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…

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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…

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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…

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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 

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