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Permalink 12:12:00 pm by gowri, Categories: Algebra , Tags: , , , , , , , ,

Defination of a conic

Parabola:equation of parabola using the focus directrix property in the form  y2=4ax .

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Group Theory has enormous applications.In mathematics  group theory is the basis of real anlysis.Group theory is used as fundamental  basis of the  space quantum Mechanics.

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A circle is the locous of  a point Which moves in plane such that its distance  from a fixed point is constant.The fixed point is called its centre and the fixed distance is called its radius.

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Differentiation can be applied on the following

Equations of tangent and normal problems,angle between two curves problems,subtangent and subnormal problems,maxima minima problems.

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Differentiability,derivative of a function form first principles,derivates of sum and differences of functions,constant,product of constant and a function,product of two functions,quotient of two functions  from first principles,derivates of xn,ex,an,sinx,cosx,tanx,cosecx,cotx,logx from first principles problems.

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A complex number is defined as a number of the form x+iy where i=√-1,x and y are real numbers.The real number x is called the real part of the complex number and y is called imaginary part of the complex number.

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Integration is an important concept in mathematics and, together with differentiation, is one of the two main operations in calculus. Given a function ƒ of a realvariable x and an interval [a, b] of the real line the definite integral.

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A differential equation is an equation containing derivatives of unknown functions. Differentials can be present in place of derivatives.

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Introduction

Matrices and determinants are very nice ways to represent bunch of number. matrices as well as determinants along with some very nice properties that each of then have, prove to be very useful in solving equations, finding area of polygons etc. Matrices a also find use in Linear Algebra which is beyond the scope of JEE syllabus.
So, Let us study these in details.

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