In the previous articles, we have studied the basics of set theory and its terminology. In this article, we shall study operations of sets including Union of sets, Intersection of sets, a complement of a set, Cartesian product of sets. The basic operations on sets are: Union of sets Intersection of sets A complement of […]
A set is a collection of well-defined objects. These objects may be actually listed or may be specified by a rule. Sets are denoted by a capital letter like A, B, C…. and an object belonging to them (element of the set) are denoted by a small case letter like a, b, c,… of the […]
Science > Chemistry > Introduction to Chemistry > Properties of Substance All matter has physical and chemical properties. Extensive properties are those properties of a substance which depend on the amount of substance. They vary with the amount of the substance. Examples: Mass, weight, and volume. Intensive properties are those properties of a substance which do not depend […]
Law > Medical Jurisprudence > Contractual Doctor-Patient Relations A doctor–patient relationship (DPR) is considered to be the core element in the ethical principles of medicine. A good doctor–patient relationship is necessary for a good practice of healthcare. DPR is usually developed when a physician tends to a patient’s medical needs via check-up, diagnosis, and treatment […]
The principle of gender equality is enshrined in the Indian Constitution in its Preamble, Fundamental Rights, Fundamental Duties, and Directive Principles. The Constitution not only grants equality to women but also empowers the State to adopt measures of positive discrimination in favour of women. Within the framework of a democratic polity, our laws, development policies, […]
Law > Medical Jurisprudence > Causes of Road Accidents A traffic or road accident is defined as an accident involving at least one vehicle on a road open to public traffic in which at least one person is injured or killed. The main cause of accidents and crashes are due to human errors. Most of […]
Law > Civil Laws > Alternate Dispute Resolution > Salient Features of Arbitration and Conciliation Act, 1996 The Arbitration and Conciliation Act, 1996 proceeds on the basis of the UN Model Law so as to make our law in accordance with the United Nations Commission on International Trade Law (UNCITRAL). This Act consolidated the law […]
Example 01: Expand (a + b)2 Solution: Expanding Binomially (a + b)2 = 2C0a2 + 2C1a2-1b1 + 2C2b2 (a + b)2 = (1)a2 + (2)a1b1 + (1)b2 (a + b)2 = a2 + 2ab+ b2 Note: (a – b)2 = a2 – 2ab+ b2 Example 02: Expand (a + b)3 Solution: Expanding Binomially (a + […]
Science > Mathematics > Algebra > Logarithms > Use of Laws of Logarithms Set – III In the last article, we have studied to solve problems on the use of laws of logarithms to prove given logarithmic expression. In this article, we shall study to solve more problems on these laws to prove given relation […]
Science > Mathematics > Algebra > Logarithms > Laws of Logarithm In this article, we shall study the laws of logarithm and their proofs. Laws of logarithm are very important in mathematics and every student should have confidence in using them. Laws of Product: loga(mn) = logam + logan, where a, m, n are positive […]