'एक भारत श्रेष्ठ भारत' अभियान देश के विभिन्न राज्यों में सांस्कृतिक एकता को बढ़ावा देता है। भारत एक अनोखा राष्ट्र है, जिसका निर्माण विविध भाषा, संस्कृति, धर्म के तानों-बानों, अहिंसा और न्याय के सिद्ध नान्तों पर आधारित स्वाधीनता संग्राम तथा सांस्कृतिक विकास के समृद्ध इतिहास द्वारा एकता के सूत्र में बाँधकर हुआ है।

A double-click is the act of pressing a computer mouse button twice quickly without moving the mouse. Double-clicking allows two different actions to be associated with the same mouse button.

{tex}\begin{aligned} & \text { To prove : } \frac{1+\sec \mathrm{A}}{\sec \mathrm{A}}=\frac{\sec ^{12} \mathrm{~A}}{1-\cos \mathrm{A}} \\ & \text { LHS } \frac{1+\sec \mathrm{A}}{\sec \mathrm{A}}=\frac{1+\frac{1}{\cos \mathrm{A}}}{\frac{1}{\cos \mathrm{A}}} \\ & =\frac{\frac{\cos \mathrm{A}+1}{\cos \mathrm{A}}}{\frac{1}{\cos \mathrm{A}}} \\ & =\frac{\cos \mathrm{A}+1}{\cos \mathrm{A}} \times \frac{\cos \mathrm{A}}{1} \\ & =1+\cos \mathrm{A} \\ & =1+\cos \mathrm{A} \times \frac{1-\cos \mathrm{A}}{1-\cos \mathrm{A}} \\ & =\frac{(1)^2-(\cos \mathrm{A})^2}{1-\cos \mathrm{A}} \\ & =\frac{1-\cos 2 \mathrm{~A}}{1-\cos \mathrm{A}} \end{aligned}{/tex}

{tex}\begin{aligned} & =\frac{\sin ^2 \mathrm{~A}}{1-\cos \mathrm{A}} \\ & =\mathrm{RHS} \end{aligned}{/tex}

Saw one of her friends walking by the stalls in the station. She walked upto her friend and started talking to her .There had been a announcement stating that the train from Karwar to Mangalore will be arriving shortly. Lost in her talks she ignored the announcement and continued with her talk. Actually she had been waiting for this train from the past two hrs. After the arrival of the train sandhya took it to be some other train and continued with her talk. After a while her friend told her that she was getting late and bid her goodbye. Sandhya looked at her watch and realised that the train was delayed by 3hrs now. She grew more restless and decided to talk to the station authorities. When she inquired them she learnt that the train she had been waiting for had already gone and that she had missed it. This upset her. She asked the authorities again that whether there was any other train to mangalore. They replied that there was one train at 6pm but the arrival of the train was not sure due to the bad weather in the stations it covered . She sat there hoping for the train to arrive. Finally there was announcement at 5 stating that the train to Mangalore. This filled her with joy. When the train train arrived at 6 sandhya was very happy and entered resolving that she would never ignore any announcement anytime in future and never show any sort of carelessness attitude.

DBMS stands for the database management system. It is a computerized Record-Keeping system or software that enables you to create, store, modify and extract information from a database. The main function of DBMS is to provide efficient and reliable methods to the users for data retrieval. In addition, it saves your time efforts and reduces the chances of errors creeping into the database to a great extent.

Rising Prices: An Ordeal for Common Man
Nalini

A rise in prices, economists say, is a sign of development and prosperity. However, during the last two decades, prices of almost all the essential commodities have been increasing at an alarming rate. These soaring prices have caused great unrest and frustration among the people. The people belonging to the middle class and the salaried people are hit hard. 

The prices of petrol, cooking gas, kerosene oil, and several other items of daily use are increasing every year. Not only that, railway fares, airfares, and bus and taxi charges are also increasing regularly. There are many causes of the unprecedented rise in prices. Inflation, black marketing, hoarding, faulty credit system, overpopulation and improper system of distribution are some of the major causes of hike in prices.

There should be an equitable distribution through fair price shops. Shopkeepers should be directed to display the stock of essential commodities along with their prices. Those people who buy things in the black market should be punished. Production of food should be increased. Sincere efforts should be made to stabilize the prices of essential commodities. Let us hope that the government will be able to bring down soaring prices. What is needed is the right intention and the force of will. 

Given quadratic equation is p(x-4)(x-2)+(x-1)² = 0

=> p(x²-4x-2x+8)+(x²-2x+1) = 0

=> p(x²-6x+8)+(x²-2x+1) = 0

=> px²-6px+8p+x²-2x+1 = 0

=> (px²+x²)+(-6px-2x)+8p+1 = 0

=> (p+1)x²-(6p+2)x+(8p+1) = 0

On comparing with the standard quadratic equation is ax²+bx+c = 0 then

a = p+1

b = -(6p+2)

c = 8p+1

Given that

Given equation has real and equal roots

=> The discriminant = 0

We know that

The discriminant of ax²+bx+c = 0 is b²-4ac

Therefore, b²-4ac = 0

=> [-(6p+2)]²-4(p+1)(8p+1) = 0

=> (6p+2)²-4(p+1)(8p+1) = 0

=> (36p²+24p+4)-4(8p²+p+8p+1) = 0

=> (36p²+24p+4)-4(8p²+9p+1) = 0

=> 36p²+24p+4-32p²-36p-4 = 0

=> (36p²-32p²)+(24p-36p)+(4-4) = 0

=> 4p² -12p+0 = 0

=> 4p² - 12 p = 0

=> 4p(p-3) = 0

=> 4p = 0 or p-3 = 0

=> p = 0/4 or p = 3

=> p = 0 or p = 3

If p = 0 the term containing p doesn't exist .

Therefore, p = 3

Resource efficiency is a closely connected idea since the conversion to a green economy relies upon meeting the dual challenges of maintaining ecosystem structure and functions and identifying ways to reduce resource use in production, consumption, and resource efficiency activities.

Kezia’s story is very touching. The message of the story is that one should try to have a balance in life. One should not try to hide one's feelings. If one is loving and caring, these feelings should be realized by others clearly. Kezia misunderstands her father only because she never sees him behave affectionately at home. She thinks that her father does not love her. She concludes that he is rude and arrogant. He punishes her with a ruler. Moreover, he never plays with her and never spends time with her. But at the end of the story, he shows his love and affection towards Kezia when she is in dire need of her father’s protection. He makes her feel comfortable and lies beside her so that she may enjoy sound sleep and she may not feel frightened due to a nightmare. The author intends to say that parents never do wrong to their children. They always think and act for the wellness of their children.

हीराकुद बाँध ओड़िशा में महानदी पर निर्मित एक बाँध है। यह सम्बलपुर से 15 किमी दूर है। 1957 में महानदी पर निर्मित यह बाँध संसार का सबसे बड़ा एवं लंबा बांध है। इसकी कुल लम्बाई 25.8 किमी० है।

हीराकुद बाँध ओड़िशा में महानदी पर निर्मित एक बाँध है। यह सम्बलपुर से 15 किमी दूर है। 1957 में महानदी पर निर्मित यह बाँध संसार का सबसे बड़ा एवं लंबा बांध है। इसकी कुल लम्बाई 25.8 किमी० है।