Given: ABCD is a trapezium where AB||CD and AD = BC

To prove: ABCD is cyclic.
Construction: Draw DL⊥AB and CM⊥AB.

Proof: In ΔALD and ΔBMC,
AD = BC (given)
DL = CM (distance between parallel sides)
∠ALD = ∠BMC (90°)
ΔALD ≅ ΔBMC (RHS congruence criterion)
⇒ ∠DAL = ∠CBM (C.P.C.T) (1)
Since AB||CD,
∠DAL + ∠ADC = 180° (sum of adjacent interior angles is supplementary)
⇒ ∠CBM + ∠ADC = 180° (from (1))
⇒ ABCD is a cyclic trapezium (Sum of opposite angles is supplementary)

Histamine is an organic compound, which is involved in local immune responses and also acts as a neurotransmitter. It is also involved in the inflammatory response and is a mediator of pruritus. Histamine is produced by basophils and is found in tissues that are connected nearby.

Several evils plagued Indian society in 19th century. The well known issues are that of (i) sati, (ii) child marriage, (iii) widow remarriage and (iv) caste discrimination.

Attempts: (i) It is not correct to say that attempts were not made to fight social discrimination in pre-colonial India.

(ii) Several social evils were central to Buddhism.

(iii) They were prominent to Bhakti and Sufi movements.

(iv) What marked these social evils 19th century social reform attempts was the modern context and mix of ideas.

(v) It was a creative combination of modern ideas of western liberalism and a new look on traditional literature.

some social evils prevailing in the Indian society in 19 centuries where Sati ,widow remarriage, child marriage and caste system. 

<a href="https://play.google.com/store/apps/details?id=in.techchefs.MyCBSEGuide" rel="nofollow noopener" target="_blank">myCBSEguide</a> is one of the most popular mobile apps dedicated to CBSE students. The app has a huge collection of study material, study notes, and NCERT books among others.

It also provides CBSE syllabus, solutions, chapter-wise important questions for almost all subjects, quick revision notes, CBSE sample papers, guess papers, etc.

Students can also watch videos and take online practice tests on the app.

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◆ Answer -

L = 7.5 cm

● Explanation -

# Given -

fo = +1.25 cm

fe = +5 cm

uo = -2.5 cm

ve = ∞

# Solution -

Applying lens formula for objective,

1/fo = 1/vo - 1/uo

1/1.25 = 1/vo - 1/-2.5

1/vo = 1/25 - 1/2.5

1/vo = 1/2.5

vo = 2.5 cm

Applying lens formula for eyepiece,

1/fe = 1/ve - 1/ue

1/5 = 1/∞ - 1/ue

1/5 = 0 - 1/ue

ue = -5 cm

Distance between the objective and eyepiece is -

L = |vo| + |ue|

L = |2.5| + |-5|

L = 2.5 + 5

L = 7.5 cm

Hence, distance between the objective and eyepiece is 7.5 cm.

Indian Depository Receipt- IDR is a financial instrument. It is issued  by domestic depository to the Indian citizens against the shares of foreign company. IDR is denominated in Indian rupees. It helps issuing company, i.e. foreign companies to raise capital from Indian securities market.

Global Depository Receipt- GDR is issued by a country's bank against the shares of a foreign company which is not traded in their domestic stock exchange. GDR is issued in more than one country. It is a negotiable instrument.

American Depository Receipt- ADR is a negotiable instrument. It is issued by American Bank against the shares of foreign company that are traded in U.S. Stock market. ADR is denominated in US Dollars. 

He must not reject this offer

Distributed Operating System is one of the important type of operating system.

Multiple central processors are used by Distributed systems to serve multiple real-time applications and multiple users. Accordingly, Data processing jobs are distributed among the processors.

Processors communicate with each other through various communication lines (like high-speed buses or telephone lines). These are known as loosely coupled systems or distributed systems. Processors in this system may vary in size and function. They are referred as sites, nodes, computers, and so on.

Advantages

• With resource sharing facility, a user at one site may be able to use the resources available at another.

• Speedup the exchange of data with one another via electronic mail.

• Failure of one site in a distributed system doesn’t affect the others, the remaining sites can potentially continue operating.

• Better service to the customers.

• Reduction of the load on the host computer.

• Reduction of delays in data processing.

In a multiprogramming system, several jobs are kept in memory at the same time. Initially, all jobs are int the ready state. One of the ready jobs is selected to execute on the CPU and changes state from ready to running. Multiprogramming is a rudimentary form of parallel processing in which several programs are run at the same time on a uniprocessor. 

Batch operating system

The users of a batch operating system do not interact with the computer directly. Each user prepares his job on an off-line device like punch cards and submits it to the computer operator. To speed up processing, jobs with similar needs are batched together and run as a group. The programmers leave their programs with the operator and the operator then sorts the programs with similar requirements into batches.

The problems with Batch Systems are as follows −

• Lack of interaction between the user and the job.
• CPU is often idle, because the speed of the mechanical I/O devices is slower than the CPU.
• Difficult to provide the desired priority.

Anti-virus software are software for your computer used to prevent, detect, and remove malware, including computer viruses, worms, and trojan horses. Some examples of anti-virus software are McAfee, Norton, and Kapersky. Antivirus software helps protect your computer against malware and cybercriminals. Antivirus software looks at data — web pages, files, software, applications — traveling over the network to your devices. It searches for known threats and monitors the behavior of all programs, flagging suspicious behavior.

William Jones felt that the study Indian history, philosophy and law would not only help the British learn from Indian culture, but it would also help Indians rediscover their own heritage, and understand the lost glories of their past. This would also establish the British as guardians of Indian culture and gain total control.

Federalism in India is practised by the creation of linguistic states ,language policy and centre state relations. 

(i) Linguistic States : After independence, in 1950, the boundaries of several old states were changed in order to create new states. This was done to ensure that the people who spoke the same language, share common culture, ethnicity or geography could live in the same state.
(ii) Language Policy : The Indian Constitution did not give the status of national language to any one of the languages. Though Hindi was identified as the optional language, but the central government has not imposed Hindi on states where people speak a different language. Besides Hindi, there are 22 other languages recognised as Scheduled Languages by the Indian Constitution.
(iii) Centre-State relations : Improving the Centre-State relations is one more way in which federalism has been strengthened in practice. Though Indian Constitution has demarcated the powers of the Union and the state governments but still the Union government can have influence over the state in many ways.
In the past, the Central government has often misused the Constitution to dismiss the state governments that were controlled by rival parties. This undermined the spirit of federalism, and that of democracy.
The judiciary has played a major role in improving the autonomy of the state governments because many a time, it has rescued state governments which were dismissed in an arbitrary manner.<button aria-label="like this post" title="like this post">
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India a federal country because of the following reasons:

• There are levels of governments—Central Government, State Government and Local Government.
• Each level of government administers over the same region, but they have their own jurisdiction in matters of administration, taxation and legislation.
• The Government at each level derives its power from the Constitution of the country. Thus, the Central Government cannot easily dilute the powers of the State or Local Governments.
• The basic principles of the Constitution and the rights given to the people cannot be changed by only one tier of the Government. It requires the consent of governments at both levels.
• Both levels of the Government can collect taxes from the people according to the guidelines of the Constitution of the country.
• The Indian Constitution contains three lists which contain subjects in which the Union and the State Governments may form laws. Only central government can make laws in the Union List and state government in the state list. Subjects related to the interests of both Central and State Governments are included in the concurrent list.

1885

On 28 December 1885, the first session of the Indian National Congress (INC) was held at Bombay and continued till 31 December. It was started by a retired British civil servant Allan Octavian Hume along with Dadabhai Naoroji and Dinshaw Wacha.

To insert a video from a file on your computer:

1. From the Insert tab, click the Video drop-down arrow and select Video from File. Inserting a video from a file.
2. Locate and select the desired video file, then click Insert. The Insert Video dialog box.
3. The video will be added to the slide. The inserted video.