Statistics  Formulas & Basic Concepts Statistic formulas for class 8th, 9th, 10th, Calculation of mean, mode, median, mean deviation  about mean & median, standard deviation, variance. Statistics For Class 10

Trigonometric, Identities & Formulas Relation between angle and sides of the triangle, values of trigonometric functions at standard angles, transformation and trigonometric identities Maths Assignment Chapter 8 Class 10 Maths Assignment Chapter 3 Class 11 Trigonometry:   It is the branch of mathematics dealing with the relations of the sides and angles of right triangles. \[sin\theta =\frac{Perpendicular}{Hypotenuse}=\frac{P}{H}\]\[Cos\theta =\frac{Base}{Hypotenuse}=\frac{B}{H}\]\[Tan\theta =\frac{Perpendicular}{Base}=\frac{P}{B}\]\[Cot\theta =\frac{Base}{Perpendicular}=\frac{B}{P}\]\[Sec\theta =\frac{Hypotenuse}{Base}=\frac{H}{B}\]\[Cosec\theta =\frac{Hypotenuse}{Perpendicular}=\frac{H}{P}\]From these six formulas we also find that \[sin\theta =\frac{1}{cosec\theta }\Rightarrow cosec\theta =\frac{1}{sin\theta }\]\[cos\theta =\frac{1}{sec\theta }\Rightarrow sec\theta =\frac{1}{cos\theta }\]\[tan\theta =\frac{1}{cot\theta }\Rightarrow cot\theta =\frac{1}{tan\theta }...

Differentiation Chapter - 5, Class 12 Continuity @ Differentiability Method of explaining continuity and differentiable, method of finding the derivative by First Principal. Differentiation of polynomial functions, logarithmic functions , exponential functions and trigonometric functions, product rule, quotient rule in differentiation   DIFFERENTIABILITY f(x) is said to be differentiable if left hand differentiation is equal to the right hand differentiation. \[\lim_{x\to a^{-}}\frac{f(x)-f(a)}{x-a}=\lim_{x\to a^{+}}\frac{f(x)-f(a)}{x-a}\] DERIVATIVE BY FIRST PRINCIPAL \[f^{'}(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}\; (OR) \\ f^{'}(x)=\lim_{x\to a}\frac{f(x)-f(a)}{x-a}\] PRODUCT RULE OF DIFFERENTIATION \[\left ( uv \right )^{'}=u^{'}v+uv^{'}\] QUOTIENT RULE OF DIFFERENTIATION \[\left ( \frac{u}{v} \right )^{'}=\frac{u'v-uv'}{v^{2}} \] DIFFERENTIATION OF TRIGONOMETRIC AND OTHER FUNCTIONS Derivative of polynomial functions \[\frac{d}{...

Properties of the circle Circle properties and formulas, properties of circle class 10, properties of circle class 9, easy definition of circle, types of circle, tangent, secant to the circle, cyclic quadrilateral and its properties. In this chapter we will discuss the following: Definition of Circle, Radius, Diameter, Chord, Segment, Sector, Cyclic Quadrilateral, their Definitions, Properties of Circle, Properties of Cyclic Quadrilateral with complete explanations. CIRCLE:- Collection of all points in a plane which are at the equidistant from the fixed point, is called a circle. The fixed point is called centre and fixed distance is called radius. RADIUS:- A line segment which join the centre with any point on the circle is called radius. DIAMETER:- A line segment which join any two points on the circle and is passes through the centre of the circle  is called the diameter of the circle. Diameter is the doubl...