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.
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.
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.
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.