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Quadratic inequalities

This post is about,   to find solution of  quadratic inequalities. Therefore , it provide set of values of x. First of all we need to see sign of inequality wether positive or negative, then define solution.   Quadratic Inequality    

Quadratics

First of all this  post consists of questions of factorisation of quadratic equation. The method use to find solutions are  splitting middle term and another method is  formula . We also find the nature of roots of equation. The method is use to find nature is discriminant (D= b2-4ac). Discriminant is also used in formula […]

Binomial Theorem

This post is about binomial expansion of two terms expression. Also in this post question, like  first of all find particular term and also  find coefficient of particular terms.  Moreover  topic is in AS-level , A-level , IBDP Math HL and SL. To find the coefficient of term we use pascal triangle Binomial Theorem

Inverse and Composite function

Inverses and Composites  are two important concept of functions.  Composite function is defined as one function  defined inside another function. Like ff(x)) or f(g(x)) etc. Concept  of inverse is interchange of variables . Inverse notations are f-1(x),g-1(x) etc. Hence interchange is inverse. Therefore function and its inverse is reflection about y = x. Inverse and composite

Inverse and composite function

Inverses and Composite  are two important concept of functions.  Composite function is defined as one function  defined inside another function. Like ff(x)) or f(g(x)) etc. Concept  of inverse is interchange of variables . Inverse notations are f-1(x),g-1(x) etc. Hence interchange is inverse. Therefore function and its inverse is reflection about y = x.   inverse and […]

Inverse of function

Inverse  of functions is  an important concept .  Domain  values and Range  values gets interchange . Due to these values of functions, continuity of function also change.  Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x.   Inverse of Function

Rational and Reciprocal functions

A rational functions is a function of the form f(x)=p(x)/q(x), where p(x) and  q(x) are polynomials and q(x)≠0 ,q(x)≠0 . The domain of a rational function consists of all the real numbers x=0 except those for which the denominator is x= 0 . reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1.. The […]

Conics

Conics section is a curve section of cone. Conic section is obtained as the intersection of the surface of a cone with a plane. Because of  this is called cone.  Conic graphs can be “slanty”, Therefore conics equation is seems like circle. Because a conics generated by the intersection of a plane and a circular cone […]

 
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