Given:

 = 

We have to find, the value of  is:

Solution:

∴ 

Using the algebraic identity:

(a + b)(a - b) = 

Using the trigonometric identity:

 +  = 1

⇒  = 1 -  and  = 1 - 

Using the trigonometric identity:

 = 

= 

Put  = , we get

= 

= 

∴  = 

Thus, the value of  is "equal to ".

Anne wanted to write a diary because she was devoid of a single friend.

The upward movement of water and dissolved mineral salts from roots upwards to the leaves and other aerial parts is called Ascent of Sap. (It is called the sap as it contains many dissolved minerals). This water is conducted upwards to the leaves through xylem. Ascent of sap involves root pressure and transpiration pull.

• The transmission of characters or traits from parents to their offspring (children) is termed as heredity.
• Genetics is the study of heredity and other variations.
• Those organisms that are identical copies of one another are termed as clones. They are exact carbon copies of each other.

Prussia took on the leadership of the movement for national unification. Its chief minister, Otto von Bismarck, was the architect of this process carried out with the help of the Prussian army and bureaucracy. Three wars over seven years-with Austria, Denmark and France-ended in Prussian victory and completed the process of unification.

Q1. What are the trophic levels? Give an example of a food chain and state the different trophic levels in it.

Solution:

In the food chain, the transfer of food or energy takes place at various levels and these levels are known as trophic levels.

Example:

Grass → Goat → Man

In the food chain,

• Grass represents the first trophic level
• The goat represents the second trophic level
• Man represents the third trophic level

Q2. What is the role of decomposers in the ecosystem?

Solution:

Following is the role of a decomposer in the ecosystem:

• They act as a cleansing agent of the environment by decomposing the dead plants and animals
• They help in recycling the nutrients
• They provide space for new beings in the biosphere by decomposing the dead
• They help in putting back the various elements into water, soil and air for the reuse of producers like crop plants.

For more click on the given link:

<a href="https://mycbseguide.com/blog/ncert-solutions-class-10-science-our-environment-part-1/" ping="/url?sa=t&source=web&rct=j&url=https://mycbseguide.com/blog/ncert-solutions-class-10-science-our-environment-part-1/&ved=2ahUKEwiA6rKM-6ztAhUE4jgGHX06Ca8QFjAAegQIAxAC" rel="noopener" target="_blank">NCERT Solutions for Class 10 Science Our Environment Part 1</a>

<a href="https://mycbseguide.com/blog/ncert-solutions-class-10-science-our-environment-part-2/" ping="/url?sa=t&source=web&rct=j&url=https://mycbseguide.com/blog/ncert-solutions-class-10-science-our-environment-part-2/&ved=2ahUKEwiA6rKM-6ztAhUE4jgGHX06Ca8QFjABegQIAhAC" rel="noopener" target="_blank">NCERT Solutions for Class 10 Science Our Environment Part 2 |</a>

IN THE GIVEN QUESTION, SIDES OF RECTANGLE AB=10 cm
AND AD=5 cm.
THE LARGEST SEMI CIRCLE INSCRIBED IN THIS RECTANGLE WILL BE WITH DIAMETER 10 cm
THEREFORE , ITS RADIUS WILL BE 5 cm.
ITS AREA WILL BE =π
⇒
⇒22*25/7
⇒AREA OF SEMICIRCLE=550/7  consider this as equation (1)
NOW,ΔAPB IS AN ISOSCELES TRIANGLE WITH SIDES AP=AB,
THEREFORE LET AP=AB= X(say)
THEN IN TRIANGLE APB , 
WE GET ∠PAB=∠PBA (ANGLES OPPOSITE TO EQUAL SIDES)=45°(ANGLE SUM PROPERTY IF A TRIANGLE)
BY SIN 45° IN TRIANGLE WE GET,
PB/AB=
⇒
⇒X=10 cm.
therefore AREA OF ΔAPB=1/2*b*h
⇒1/2*x*x
⇒1/2*10*10
⇒AREA OF ΔAPB=50  ...consider this as equation (2)
NOW, AREA OF SHADED REGION = AREA OF SEMICIRCLE-AREA OF TRIANGLE
⇒AREA OF SHADED REGION =550/7-50 
⇒550/7-350/7
⇒200/7
⇒28.571528  
THEREFORE THE AREA OF SHADED REGION IS 28.571528  

The cartoon shows a puppet show run by Berlusconi. It signifies that the party members are behaving as a puppet of the leader. They do not have individual opinions and there is a lack of internal democracy in the party. It shows the strength of money, connection and power that Berlusconi holds in the party.

A n s w e r: T h e word Apartheid means "the state of being apart". Apartheid’ is a political system of racial segregation that separates people according to their race.

Lomov was a young, unmarried man of thirty five. He was anxious to get married as he had already reached a critical age. So he decided to propose a girl in the neighbourhood. Her name was Natalya, a girl of twenty-five years old. Lomov thought that she was a good housekeeper and was not bad looking. Further she was unmarried. Lomov was a funny character. He was suffering from palpitation. He behaved as if he were eccentric. He was so eager to marry Natalya. But when he came to propose to her, he started quarrelling over trifles. He quarreled on issues like Oxen Meadows and pet dogs named Squeezer and Guess. He even abused Natalya and her father Chubukov while quarreling.

Sodium hydrogen carbonate is an essential ingredient in most antacids because

• It is slightly alkaline in nature. 
• It is very fast in reaction with the acid present in the stomach
• It reacts to form carbon dioxide with helps us to produce blurps which give a relieving feeling

A n s w e r: [Ca (OH)2] Calcium hydroxide or slaked lime
explanation:
[Ca (OH)2] Calcium hydroxide commonly known as slaked lime, on treatment with chlorine, yields bleaching powder.

Dry slaked lime,Ca(OH)₂ is the substance which on treattment with chloride yields bleaching powder

Final goods  

(i) The goods which are used either for final consumption or for capital formation.  

(ii) The value of final I goods is included in the national income.  

(iii) Example, television, bread or bakery products, etc.  

Intermediate goods  

(i) The goods which are used up in producing the final goods and services.  

(ii) The value of intermediate goods is not included in the national income.  

(iii) Example, flour, cotton, etc.

1. The female reproductive part in a plant is called the pistil.
2. It consists of three parts- stigma, style and ovary.
3. The sticky part at the top called a stigma.
4. A thin tube passing down is called a style.
5. A swollen sac-like structure at the bottom is called an ovary. 
6. The pollen grains are transferred onto the stigma which then travels down the style into the ovary, where it meets with the ovules and fertilization takes place.

• The RBI (Reserve Bank Of India) ensures that the banks give loans not just to profit-making businesses and traders,but also to small scale industries,small borrowers.
• Bank has to submit information to the RBI on how much they are lending , to whom and what interest rate they are lending to borrowers & etc.
• The bank maintain a minimum cash balance out of the deposits they receive.
• The RBI monitors the banks in actually maintaining cash balance.

Collateral is an asset or form of physical wealth that the borrower owns like house, livestock, vehicle etc. It is against these assets that the banks provide loans to the borrower. The borrower uses assets as a guarantee to a lender until the loan is repaid.

A system of money in general use in a particular country is called currency.
Indian currency is rupee 
1- currency is easy to carry and use
2-it is excepted all over the country by the medium of exchange
3-no double co-incidence of wants

The double coincidence of wants mean that both the parties have to agree to sell and buy each other's commodity i.e. what a person desires to sell is exactly what the other person wishes to buy.

There are three sectors in the Indian economy, they are; primary economy, secondary economy, and tertiary economy. In terms of operations, the Indian economy is divided into organized and unorganized. While for ownership, it is divided into the public sector and the private sector. 

Nutrition: The process by which the living organisms receive and utilise the food materials necessary for their survival, growth and repair of worn-out tissues is called nutrition.
Nutrients: Those substances which supply nourishment to living organisms from its surroundings and use it as an energy source or for biosynthesis of body constituents.

Satya Nagar Colony ,

Bhubaneswar

Orissa

6th November 2020

To ,

The SHO

Police station ,

Bhubaneswar ,

Orissa

Subject : Residents flouting quarantine rules and request for actions .

Dear Sir/Mam,

I hereby , a respected member of Satya Nagar Colony am writing this letter to bring under your notice that people in our colony are repeatedly disdaining and flouting quarantine rules and regulations .

Such situations may cause a lot of harm to the community as most of the residents are elderly and other diseased patients .

People are misreckoning the severity of this pandemic and are taking it lightly thus not wearing masks and even going out during this lockdown period .

It's a humble and kind request for you and your team to take strict actions and guid the people to help them understand the severity.

Thanking you

Yours sincerely

Tasbassum / Tarun