Categories
Trigonometry

Length of an Arc

Science > Mathematics > Trigonometry > Angle Measurement > Length of an Arc In this article, we shall solve problems based on the length of an arc (arc length). Example – 01: Find the length of the arc of a circle of diameter 10 cm, if the arc is subtending an angle of 36° at […]

Categories
Trigonometry

Angle Measurement

Science > Mathematics > Trigonometry > Angle Measurement > Angle Measurement In this article, we shall study the problems based on the interior angles of a polygon, and the angle between the hour hand and a minute hand of a clock. Example – 01: If xc = 405° and y° = – (π/12)c. Find x […]

Categories
Civil Procedure Code

Principles of Ordering Temporary Injunction

An injunction is an order of the court gives a direction to a party to the litigation to do or to refrain from doing an act. An injunction looks to the future. The order may restrain the defendant by its owners, directors, employees, or solicitors from doing the prohibited act. Injunctions are granted at the […]

Categories
Civil Procedure Code

Injunction

An injunction is an order of the court gives a direction to a party to the litigation to do or to refrain from doing an act. An injunction looks to the future. The order may restrain the defendant by its owners, directors, employees, or solicitors from doing the prohibited act. Injunctions are granted at the […]

Categories
Calculus

Displacement, Velocity, and Acceleration

In this article, we shall study to find the displacement, velocity, and acceleration of a particle, by the calculus method. Example – 01: A particle is moving in such a way that is displacement ’s’ at any time ‘t’ is given by s = 2t2 + 5t +20. Find the velocity and acceleration of the […]

Categories
Calculus

Concept of Maximum and Minimum Values of a Function

In this article, we shall study the concept of maximum and minimum values of a function using the concept of differentiation. Example – 01: Find the maximum and minimum values of x3 – 12x – 5 Solution: Let ƒ(x) = x3 – 12x – 5 ………….. (1) Differentiating equation (1) w.r.t. x ƒ’(x) = 3×2 […]

Categories
Calculus

Equations of tangents and Normals – 02

In this article, we shall study more examples to find the equation of normal and tangent to a curve at a given point. Example – 12: Find the equation of the tangent and normal to the curve x = sin θ and y = cos 2θ at θ = π/6 Solution: The equation of the […]

Categories
Calculus

Equations of Tangents and Normals

In this article, we shall study the use of the concept of differentiation to find slope, equation of tangent, and normal. Example – 01: Find the equation of the tangent and normal to the curve y = 3×2 – x + 1 at point P(1, 3) Solution: Equation of curve is y = 3×2 – […]

Categories
Calculus

Types of Functions

In the last article, we have studied the concept of the function and the terminology associated with it. In this article, we shall study different types of functions. Real Function: A function whose domain and co-domain are the set or subset of real numbers R, then the function is called a real function.Thus if ƒ: […]

Categories
Calculus

Concept of a Function

Function or Mapping: Let A and B two non-empty set and If each and every element x of set A is related by the relation ‘ƒ’ to one and only one element y of the set B such that y = ƒ(x) then such a relation ƒ from set A to set B is called […]