The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with growth of the subject and emerging needs of the society. Senior Secondary stage is a launching stage from where the students go either for higher academic education in Mathematics or for professional courses like Engineering, Physical and Biological science, Commerce or Computer Applications. The present revised syllabus has been designed in accordance with National Curriculum Framework 2005 and as per guidelines given in Focus Group on Teaching of Mathematics 2005 which is to meet the emerging needs of all categories of students. Motivating the topics from real life situations and other subject areas, greater emphasis has been laid on application of various concepts.  Click on the link:

<a href="https://imgk.timesnownews.com/media/cbse_12_REVISEDMathematics_Sr.Sec_2020-21.pdf">https://imgk.timesnownews.com/media/cbse_12_REVISEDMathematics_Sr.Sec_2020-21.pdf</a>

Elsa was Einstein's cousin who used to live in Berlin where her father had his business. She believed that one must learn just enough to pass exams. She observes that one does not have to know anything or understand what is being taught but just be able to repeat it in the exams. To learn to repeat things like a parrot and reproduce it in the exam hall. Elsa does not read anything other than what is prescribed in her school,she has no thirst for knowledge and will not study anything that is not required as per her coursework.

Negative liberty is freedom from interference by other people. Negative liberty is primarily concerned with freedom from external restraint and contrasts with positive liberty. The distinction was introduced by Isaiah Berlin in his 1958 lecture "Two Concepts of Liberty". Positive liberty is the possession of the capacity to act upon one's free will, as opposed to negative liberty, which is freedom from external restraint on one's actions.

Computer systems consist of three components: Central Processing Unit, Input devices and Output devices. Input devices provide data input to processor, which processes data and generates useful information that’s displayed to the user through output devices. This is stored in computer’s memory.

India's slope is from west to east. And hence most of the Indian rivers which originate(either in the Himalayas or the Western Ghats) flow from West to East. ... As you know rivers drain into the sea and flow from higher altitude to lower altitude- ie from mountains to coastal plains. The Narmada and Tapi are main west-flowing rivers. The Mahanadi, Godavari, Krishna and The Kaveri are east-flowing rivers.

• Amplitude and phase together describes the position of the particle.
• Amplitude is the maximum displacement of the elements of the medium from their equilibrium positions as wave passes through them.
• It is denoted by A.

• Amplitude is the maximum displacement of the elements of the medium from their equilibrium positions as wave passes through them.
• It is denoted by A.

Degrees are a unit of angle measure. A full circle is divided into 360 degrees. For example, a right angle is 90 degrees. A degree has the symbol ° and so ninety degrees would written 90°.  The definition of a degree is any series of steps, a point in a scale or a stage in a scale. An example of degree is the first step in a science project. An example of degree is 98.6 for the human normal body temperature. An example of degree is a high level of strength in an exercise regime.

Khushwant Singh and his grandmother lived in a village of Punjab. Naturally, they talked to each other in Punjabi.

(Khushwant Singh) and his grandmother used Punjabi language while talking to each other. Because the author (Khushwant Singh) belongs to Punjab and his mother tongue is Punjabi.

(a) The knowledge gained through systematics is assembled for use in the field of medicine, agriculture, forestry and industries.
(b) It gives an idea about the organic diversity, its origin and evolution.
(c)  helps in identification of crop pests and in solving the problem of many epidemic diseases.
(d) It helps in finding out new food resources such as fishes, arthropods, algae et

The study of the origin and growth of sociology is important due to following reasons:

(i) Auguste comte (of France) is called the father of sociology because he coined the sociology 1830, for that branch of science which studied human behaviour. Before his life time and during his life time most of the issue and concern of this discipline also date back to a time when European societies was undergoing greatly changes in that period (approximately 18 and 19th century) with the advant of industrialisation and capitalism.

(ii) Without the study of origin and growth of sociology we can not understand several personnel as well as social issue. For example. In 18th and 19th century due to industrialisation several problem raise before people and government. Urbanisation or factory production are concerned to all modern society. No doubt these specific feature different. For example the problem of Urbanisation and factory production of India nay be different from advance western or European country. Indian society visit colonial parts and various diversities is different from the social setup of Britain or France. The people of India can know their problems or issues after the study of sociology because sociology of India reflects origin and growth of different individual or social problems.

(iii) Indians are closely linked to the history of British capitalism and colonalism. Capitalism is the west centailed a worldwide expansion. No doubt colonialism was essential part of modern capitaism and industrialisation. The writings of western sociologist on capitalism and other aspects of modern society are therefore relevent for urderstanding social change in India.

(iv) Sociology in India also had to deal with western writings and ideas about Indian society that were not always correct. These ideas were expressed both in the accounts of colonial officials as well as western scholars. For many of them Indian society was xontsant to western society. We take just one example here, the way the Indian village was understood and portrayed as unchanging.

(v) Further more social anthropology in India moved gradually from a preoccupation with the study of 'primitive people' to the study of peasants, ethinic groups. Social clases, aspects and features of ancient civilisations, and modern industrial societies. No rigid divide exists between sociology and social anthropology in India, a characteristics feature of the two subjects in many western countries. Perhaphs the very diversity of the modern and traditional, of the village and the metropolitan in India account for this

Here is Data of 10 people for BMI calculation

BMI - Body Mass Index

Height  Cm           Weight   kg                     BMI

150                         50                                   22.2

165                         55                                   20.2

157                         54                                   21.9

152                         65                                  28.1

170                         69                                  23.5

168                         70                                   24.8

162                         68                                   25.9

120                         40                                   27.8

165                         75                                    27.6

172                         78                                    26.4

in motion of planets around the sun centripetal force is provided by the gravitational force of attraction.

A centripetal force is not a fundamental force, but a net force which causes an object to move in a circular path. It is directed towards the centre around which the body is moving. In the case of planets moving around the sun, the centripetal force is provided by the gravitational force of the sun. And in the case of satellites moving around the planets, the centripetal force is provided by the gravitational force of the planets.

SET

A set is a well-defined collection of distinct objects. Well-defined collection means that there exists a rule with the help of which it is possible to tell whether a given object belongs or does not belong to given collection. Generally sets are denoted by capital letters A, B, C, X, Y, Z etc.

As you go to higher altitudes, there are less air molecules pushing down on you (lower pressure). When the pressure of a gas decreases, the temperature also decreases (the reverse is also true – when the gas pressure increases, the temperature increases). Therefore, the air temperature is lower at higher altitudes. Because as you go up from Surface level to higher altitudes the temperature decreases in atmosphere mainly in Troposphere. ... This is the reason why hill stations have low temperature.