This tutorial is for you if you are searching for – “Definition of Continuity of a function, Discontinuity and Missing Point Discontinuity.” Let’s begin – Continuous Functions A Function for which a small change in the independent variable causes only a small change and not a sudden jump in the dependent variable are called continuous …
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Here, you will learn differentiability of a function and differentiability at a point and over an Interval. Let’s begin – Meaning of Derivative The instantaneous rate of change of a function with respect to the dependent variable is called derivative. Let ‘f’ be a given function of one variable and let \(\Delta\)x denote a number …
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Here, you will learn Different Types of Parabola and Standard equations of parabola, focal chord, double ordinate and latus rectum of parabola. Let’s begin – What is Parabola ? A parabola is the locus of a point which moves in a plane, such that its distance from a fixed point(focus) is equal to its perpendicular …
Here, you will learn general equation and formulas for conic sections and formula to distinguish between conic. Conic Sections A conic section, or conic is the locus of a point which moves in a plane so that its distance from a fixed point is in a constant ratio to its perpendicular distance from a fixed …
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Here, you will learn conditional trigonometric identities and maximum and minimum value in trigonometry. Let’s begin – Maximum and Minimum values in Trigonometry Expressions : (i) acos\(\theta\) + bcos\(\theta\) will always lie in the interval [-\(\sqrt{a^2+b^2}\), \(\sqrt{a^2+b^2}\)] i.e. the maximum and minimum values are \(\sqrt{a^2+b^2}\), -\(\sqrt{a^2+b^2}\) respectively. (ii) Minimum value of \(a^2tan^2\theta\) + \(b^2\tan^2\theta\) = …
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Here, you will learn graph of trigonometric functions and domain & range of trigonometric functions. Graph of Trigonometric Functions : y = sinx y = cosx y = tanx y = cotx y = secx y = cosecx Values of T-Ratio of some standard angles AnglesT-Ratio 0 \(\pi\over 6\) \(\pi\over 4\) \(\pi\over 3\) \(\pi\over 2\) …
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Here, you will learn various trigonometric identities for class 10th and formulas of trigonometry. Let’s begin- In a right angle triangle sin\(\theta\) = \(p\over h\); cos\(\theta\) = \(b\over h\); tan\(\theta\) = \(p\over b\); cosec\(\theta\) = \(h\over p\); sec\(\theta\) = \(h\over b\) and cot\(\theta\) = \(b\over p\) where ‘p’ is perpendicular ; ‘b’ is base and …
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Here, you will learn what is sets in mathematics and different methods to write a set with examples. Let’s begin – What is Sets in Mathematics ? A set is a collection of well defined objects which are distinct from each other. Set are generally denoted by capital letters A, B, C, ….. etc. and …
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Here, you will learn operation of sets i.e intersection and union of two sets with examples. Let’s begin – Basic Operation of Sets – Intersection and Union of Two Sets (i) Union of two sets : A \(\cup\) B = {x : x \(\in\) A or x \(\in\) B} Example : A = {1, 2, …
Here, you will learn domain and range of greatest integer function and properties of greatest integer function with example. Let’s begin – Greatest Integer Function or Floor Function For any real number x, we use the symbol [x] or \(\lfloor x \rfloor\) to denote the greatest integer less than or equal to x. For example, …
