Categories
Trigonometry

Use of Trigonometric Functions Values of Standard Angles

In this article, we shall study to find the value of trigonometric expressions involving standard angles. Trigonometric functions values of some standard angles are given below: Evaluate the following: Example 01: sin20c + sin2(π/6)c + sin2(π/3)c + sin2(π/2)c   = (0)2 + (1/2)2 + (√3/2)2 + (1)2 = 0 + 1/4 + 3/4 + 1 […]

Categories
Coordinate Geometry

To Find Condition When Relation Between Slopes f lines is Given

Science > Mathematics > Pair of Straight Lines > To Find the Condition When Relation Between Slopes is Given In this article, we shall discuss problems to find the condition when the relation between slopes of lines represented by a joint equation is given. Example – 18: If the slope of one of the lines […]

Categories
Coordinate Geometry

To Find Value of Constant When Relation Between Slopes is Given

Science > Mathematics > Pair of Straight Lines > To Find Value of Constant When Relation Between Slopes is Given In this article, we shall study to solve problems to find the value of constant or to prove the given relation when the relation between slopes of the line represented by the joint equation is […]

Categories
Applied Mathematics

The solution of an Equation: Bisection Method

In this article, we shall study the use of the bisection method to solve an equation. Intermediate Value Theorem : If a function f is continuous on closed interval [a, b] and f (a). f (b) < 0, i.e. ƒ (a) and ƒ (b) are opposite signs, then there exists at least one c ∈ […]

Categories
Coordinate Geometry

Equation of Circle (Centre Radius Form)

A circle is defined as the locus of all the points in a plane, which are at a fixed distance from a fixed point. The fixed point is called the centre of the circle and the fixed distance is called the radius of the circle. The radius of a circle is denoted by the letter […]

Categories
Coordinate Geometry

Condition That Line is Represented by Homogeneous Equation

Science > Mathematics > Pair of Straight Lines > Condition That Line is Represented by Homogeneous Equation In this article, we shall study problems to find the condition when one of the lines represented by a homogeneous equation is given. ALGORITHM : Write the auxiliary equation of joint equation. Find the slope of given line […]

Categories
Medical Jurisprudence

National Medical Commission

Law > Medical Jurisprudence > National Medical Commission In this article, we shall study the former association of medical professionals called the Medical Council of India and present the National Medical Commission (NMC) Medical Council of India is a statutory body. Initially, it was set up in 1934 under the Indian Medical Council Act, 1933. The Council […]

Categories
Medical Jurisprudence

Medical Ethics

Law > Medical Jurisprudence > Medical Ethics Morality and ethics are exclusively matters of human concern. It is deeply influenced by several factors, such as history, traditions, education and culture, and so on.  The term ‘ethics’ refers to understanding and implementing moral values within a society. It is related to the value perspectives and principles […]

Categories
Algebra

Concept of Logarithm

Science > Mathematics > Algebra > Logarithms > Concept of Logarithm In this article, we shall study the concept of logarithms and interconversion between exponential form and logarithmic form. Laws of Indices: am × an = am + n am ÷ an = am – n           (a ≠ 0) (am)n = amn […]

Categories
Coordinate Geometry

Use of Auxiliary Equation of Pair of Lines

Science > Mathematics > Pair of Straight Lines > Use of Auxiliary Equation of Pair of Lines In this article, we shall study the use of the auxiliary equation of par of lines to find the required condition. Algorithm: Write the auxiliary equation of the joint equation. Find the slope of given line m. Substitute […]