# IITJEE #### Assignment -1 (Relations and Functions)

Assignment class 12 Relations of Unit – I, as per Latest Syllabus For CBSE board. Due to COVID 19 there is a change in testing of class 12th board is proposed by CBSE. #### Area of a parallelogram.

Area of a parallelogram. The area of a parallelogram ABCD can be found by calculating area of two triangles ABD and triangle BCD.  In $\Delta$ADB ,  $Sin\theta = \cfrac{P_1}{AD}\;\Rightarrow AD=BC=\cfrac{P_1}{Sin\theta}$    In $\Delta$BCD , $Sin\theta =\cfrac{P_2}{DC}\;\Rightarrow DC=AB=\cfrac{P_2}{Sin\theta}$                    $\therefore$ Area  ABCD = $2.(\cfrac{1}{2}.AB.AD.Sin\theta)$     […]

#### How to solve Functional Equations.

How to solve functional equations of different types. In chapter functions one of the question which we all must be facing is how to solve functional equations for some given form. Once we say functional equation , the immediate thoughts are what is functional equations ? How to solve function equation ? Are some of […]

#### Maximum and Minimum of a function

Local maximum and minimum of function is value for function with respect to its right and left neighbor values . Where as Global maximum and minimum is maximum and minimum value of function in its domain. An important thing is they are value of functions not limit values.

Distribution of ‘n’ identical objects into ‘m’ numbers of distinct groups. PODCAST ON DISTRIBUTION OF OBJECTS INTO GROUPS Let us consider distribution of n identical objects to m numbers of distinct groups. let $\,x_i \,$ is the number of identical object objects in $i^{th}\,$ group. Therefore \$x_1\,+\,x_2\,+\,x_3……….\,+\,x_m\,=\,n\,\,\, ;\,\,\, where\,\, 0\leq x_i\leq n \,,\,\,\, \forall […]