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Podcast Archives - Best Maths Practice Material

Podcast

Podcast on different topics of mathematics

Angle Bisector
class 11th
IITJEE
Podcast

Angle Bisector

Angle bisector is locus of point $P(h,k)$ which move such that perpendicular distance of point from lines $L_1=0$ and $L_2=0$ are equal. If the lines $L_1\,:\,a_1x+b_1y+c_1=0$ and $L_2\,:\,a_2x+b_2y+c_2=0$ intersect at point $Q$ i.e $\vert \cfrac{a_1h+b_1k+c_1}{\sqrt{a_1^2+b_1^2}} \vert = \vert \cfrac{a_2h+b_2k+c_2}{\sqrt{a_2^2+b_2^2}} \vert$ Now Replace $(h,k)\rightarrow (x,y)$ we get bisectors $B_1=0\;,\;B_2=0$. $$\Rightarrow \Bigl( \cfrac{a_1x+b_1y+c_1}{\sqrt{a_1^2+b_1^2}}\Bigr)=\pm \Bigl( \cfrac{a_2x+b_2y+c_2}{\sqrt{a_2^2+b_2^2}}\Bigr) $$ Let […]

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Principle of Inclusion and Exclusion
class 11th
IITJEE
Podcast

Principle of Inclusion and Exclusion .

Inclusion and Exclusion principle The principle of inclusion and exclusion  is a counting technique in which the elements satisfy at least one of the different properties while counting elements satisfying more than one property are counted exactly once. For example if we want to count number of numbers in first $100$ natural numbers which are either […]

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Distribution of distinct objects
class 11th
IITJEE
Podcast

Distribution of distinct Objects.

Permutation and combination :: Distribution of distinct objects into group having variable group size and fixed group size.

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Equation of parabola in Different forms.
class 11th
IITJEE
Podcast

PARABOLA

What is a parabola Parabola is a conic section defined as, Locus of a point which moves such that its distance from a fixed point is always in a constant ratio to its perpendicular distance from a fixed line, is called a conic section. $$\frac{PS}{PM}=e\,\,\,\,\,(Constant)$$ where ‘e’ is called as eccentricity of conic section , […]

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class 12 CBSE
IITJEE
Podcast

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.

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class 11th
IITJEE
Podcast
Video

Distribution of Identical objects into Distinct Groups.

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 […]

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