<hr color=”green”>

Explanation :

The HTML <hr> color Attribute is used to specify the color of a Horizontal rule. It is not supported by HTML 5.

Syntax:

Attribute Values:

• color_name: It sets the Text color by using the color name. For example “red”.
• hex_number: It sets the text color by using the color hex code. For example “#0000ff”.
• rgb_number: It sets the text color by using the rgb code. For example: “RGB(0, 153, 0)”.

Given f(x) = x^4 - 11x^2 + 34x - 12.

Given g(x) = x - 2.

Now, we need to divide f(x) by g(x).


          x^3 + 2x^2 - 7x + 20
        -----------------------------------
x - 2) x^4          - 11x^2 + 34x - 12

         x^4 - 2x^3

         ---------------------------------------

                  2x^3 - 11x^2 + 34x - 12

                  2x^3 - 4x^2

         -------------------------------------------

                             -7x^2 + 34x - 12

                             - 7x^2 + 14x - 12

             -------------------------------------

                                           20x - 12

                                           20x -40

                 ------------------------------------

                                                   28


We know that Dividend = Divisor * Quotient + Remainder

 = > (x - 2) * (x^3 + 2x^2 - 7x + 20) + 28

= > x^4 + 2x^3 - 7x^2 + 20x - 2x^3 - 4x^2 + 14x - 40 + 28

= > x^4 - 11x^2 + 34x - 12

= > Dividend

Given f(x) = x^4 - 11x^2 + 34x - 12.

Given g(x) = x - 2.

Now, we need to divide f(x) by g(x).


          x^3 + 2x^2 - 7x + 20
        -----------------------------------
x - 2) x^4          - 11x^2 + 34x - 12

         x^4 - 2x^3

         ---------------------------------------

                  2x^3 - 11x^2 + 34x - 12

                  2x^3 - 4x^2

         -------------------------------------------

                             -7x^2 + 34x - 12

                             - 7x^2 + 14x - 12

             -------------------------------------

                                           20x - 12

                                           20x -40

                 ------------------------------------

                                                   28


We know that Dividend = Divisor * Quotient + Remainder

 = > (x - 2) * (x^3 + 2x^2 - 7x + 20) + 28

= > x^4 + 2x^3 - 7x^2 + 20x - 2x^3 - 4x^2 + 14x - 40 + 28

= > x^4 - 11x^2 + 34x - 12

= > Dividend

The boy lost his ball in the street. The ball bounced on the street and fall into the water.

Though the poet saw the ball, he did not interfere. He did this as he wanted that the boy must learn his responsibility to secure his possessing.

The poet hoped that one day the boy must learn to exist in the world.

Format of a magazine report

1. Heading- A descriptive title which is expressive of the contents of the report.
2. By line- Name of the person writing the report. It is generally given in the question. Remember, you are not supposed to mention your personal details in your answer.
3. Opening paragraph (introduction) – It may include the '5 Ws' namely, WHAT, WHY, WHEN and WHERE along with WHO was invited as the chief guest.
4. Account of the event in detail- The proper sequence of events that occurred along with their description. It is the main paragraph and can be split into two short paragraphs if required.
5. Conclusion- This will include the description of how the event ended. It may include quote excerpts from the Chief Guest's speech or how did the event wind up.

Format of a newspaper report

1. Headline- A descriptive title which is expressive of the contents of the report.
2. By line- Name of the person writing the report along with the designation. It is generally given in the question. Remember, you are not supposed to mention your personal details in your answer.
3. Place and date of reporting- It is generally not mentioned in a magazine report separately, but here, it is.
4. Opening paragraph- It includes expansion of the headline.  It needs to be short as it is a general overview of the report. 
5. Account of the event in detail- It is generally written in two parts: First, complete account of what happened in it’s chronological sequence (preferably) and second, the witness remarks.
6. Concluding paragraph- This will include the action that has been taken so far or that will be taken. It is the last paragraph.

( sin ² 63° + sin ² 27° ) / ( cos ² 17° + cos ² 73° )
= { sin ² 63° + sin ² ( 90 - 63 ) ° } / { cos ² 17° + cos ² ( 90 - 17 ) ° }
= ( sin ² 63° + cos ² 63° ) / ( sin ² 17° + cos ² 17° )
= 1 / 1
= 1

Horace was clever, as he planned the robbery carefully, studied the target, took the proper tools and also took his gloves, to ensure leaving no fingerprints.

HRD Minister Ramesh Nishank announced a major CBSE syllabus reduction for the new academic year 2020-21 on July 7 which was soon followed by an official notification by CBSE on the same.

Considering the loss of classroom teaching time due to the Covid-19 pandemic and lockdown, CBSE reduced the syllabus of classes 9 to 12 with the help of suggestions from NCERT.

The CBSE syllabus has been rationalized keeping intact the learning outcomes so that the core concepts of students can be retained.

Deleted syllabus of CBSE Class 10 Science

Due to following reasons, the demand deposits are considered as money
(i) Demand deposits can be withdrawn from the bank whenever it is required.
(ii) They are widely accepted as a means of payment, along with the currency, thus they are considered as money.
(iii) They are accepted widely as means of payment by way of a cheque instead of cash.

A customs union known as Wolverine was formed at the initiative of Prussia and joined by most of the German states. This union removed internal impediments and summed up 32 currencies into two. Besides this, it the aim of the union is to bind the Germans economically into a nation by strengthening the nation materially through its protection of interests externally and stimulating its internal production.

Life of Amanda is very stifled and restricted in itself. She yearns for freedom and choice. Her mother doesn’t apprehend the truth that Amanda is harmless and naive, she is simply too small to recognize the benefits of advice. Only component that subjects to Amanda’s mom is what society will make of Amanda. We witness depressing failure of mother and father whilst Amanda desires to be an orphan so that she might be free.

The act of hiding people at the risk of your own life and giving of your food, living space, and friendship to spare the lives of people around you.

Its is the feeling of being lonely and misunderstood that provides the force for her diary writing that she full determination and colors many of the experiences she recounts. That is the basic theme of the story. Even in her early diary entries, in which she writes about her many friends and her lively social life, Anne expresses gratitude that the diary can act as a confidant with whom she can share her innermost thoughts.

Given:

sec θ + tan θ = x

To find:

Sec θ = ?

Solution:

sec θ + tan θ = x --- eq 1

sec θ = x - tan  θ

Squaring both sides -  

sec θ = x² - 2x² tan θ + tan²θ

sec² θ - tan² θ = x - 2xtan  θ

1 = x²  - 2xtan  θ

tan θ = x²  - 1/2x

Substituting value in eq 1  

sec θ + x² -1/2x = x

sec θ = x²  - x-1/2x  

= 2x² - x²  +1/2x

sec θ = x²  + 1/2x

Answer : The value of sec θ = x²  + 1/2x

Plaster of paris is calcium sulphate hemihydrates. Its chemical formula is: CaSO4. ½H₂O.

It is prepared by heating gypsum to a temperature of 100°C in a kiln; it loses ¾ of its water of crystallisation and forms plaster of paris.

Uses of Plaster of paris:

(i) It is used as a fire proofing material.

(ii) It is used in hospitals for setting fractured bones in the right position to ensure correct healing.

Gypsum is calcium sulphate dihydrate. When gypsum is heated to a temperature of 100 °C, it loses ¾ of its water of crystallisation and forms plaster of paris.

Anne Frank is the main character of 'From the Diary of Young Girl' . Her diary entries give an insight about her character and personality. Anne find a good and confident friend in the form of her diary which which she could share all her feelings. She share everything with her diary. She does not think she is pretty, but she is confident that her personality and other good traits make up for it.

Anne is a playful and comical but with the serious side. She is content and optimistic despite the threats and danger that her family faces. She is remarkably forthright and perceptive at the beginning of the diary but as she leaves her normal childhood behind and enters the dire and unusual circumstances of the holocaust, she becomes more introspective and thoughtful. Anne feels extremely lonely and in need of kindness and affection.