CBSE Class 10 - Maths - Quadratic Equations - Summary

Quadratic Equations - Summary

① A polynomial of degree 2 is called quadrilateral polynomial. The general form of a quadrilateral polynomial is ax² + bx+ c, where a, b, c are real numbers such that a ≠ 0 and x is a real variable.


② If p(x) = ax²  + bx + c, a ≠ 0 is a quadratic polynomial and α is a real number, then p(α) = aα² + bα + c is known as the value of the quadratic polynomial p(x).

③ A real number α is said to be a zero of the quadratic polynomial p(x) = ax²  + bx + c, if p(α) = 0.

④ If p(x) = ax²  + bx + c is a quadratic polynomial,then p(x) = 0 i.e. ax²  + bx + c = 0, a ≠ 0 is called a quadratic equation.

⑤ A real number α is said to be root of the quadratic equation ax²  + bx + c = 0, if aα² + bα + c = 0.
In other words, α is a root of ax²  + bx + c = 0 if and only if α is zero pf the polynomial p(x) = ax²  + bx + c.

Class 8 - Our Pasts3 - When People Rebel 1857 and After (Q and A)

When People Rebel 1857 and After

Begum Hazrat Mahal (Awadh)
Women like Rani Laxmi Bai, Hazrat Mahal took an active part in 1857 revolt.

Q & A based on NCERT Chapter

Q1: What was the state of Nawabs and Kings during mid-eighteenth century?

Answer:
ⓐ Nawabs and kings had seen their power erode.
ⓑ They gradually lost their authority and honour.
ⓒ Their freedom have been reduced and their forces were disbanded.
ⓓ Their revenues and territories taken away by stages.


Q2: What was the demand of Rani Lakshmibai of Jhansi that was refused by the British?

Answer: After the death of her husband, Rani Lakshmibai of Jhansi wanted the East India Company to recognise her adopted son as the heir to the kingdom. This demand was refused by the British. Finally, the Company annexed the kingdom as per the Doctrine of Lapse.


Q3: What plea of Nan Saheb was turned down by the East India Company?

Answer: Nana Saheb was the adopted son of Peshwa Baji Rao II. He pleaded that he would be given his father’s pension when the latter died. However, the Company, confident of its superiority and military powers, turned down his plea.


Q4: Who was the Governor General when Awadh was annexed in 1856?

Answer: Dalhousie


Q5: How was Awadh annexed by the East India company?

Answer: In 1801, a subsidiary alliance was imposed on Awadh. In 1856 it was taken over by the company on the pretext of misgovernace and poor administration.

Class 8, 10: Science - Uses of Some Common Metals and Non-Metals

Uses of Some Common Metals and Non-Metals

USES OF SOME COMMON METALS

Metal	Main Uses
Iron	Bridges, Train tracks, Construction Bars, Steel, Engine Parts, Iron sheets etc.
Copper	Electrical Wires, Utensils, Coins etc.
Aluminium	Electric Wires, Utensils, Airplanes, Metallic Paints, Foil for packaging etc.
Silver	Jewellery, Electroplating, photography, Utensils, Coins, silvering of mirrors etc.
Gold	Jewellery and Decorations, Coins
Lead	Batteries, Alloys, Paints, Alloys like solder, Protective screen for X-Rays etc.
Mercury	Thermometers, Barometers, Dental amalgams etc.

CBSE Class 9 - English (Comm.)- SA1- Sample Question Paper (2016)

CBSE Class 9 - English (Comm.)- SA1- Sample Question Paper (2016) 

CBSE Class 9 - Mathematics- SA1- Sample Question Paper (2016)

CBSE Class 9 - Mathematics- SA1- Sample Question Paper (2016) 

CBSE Class 10 - Science- SA1- Sample Question Paper (2016)

CBSE Class 10 - Science- SA1- Sample Question Paper (2016) 

Class 6 - Our Pasts - WHAT BOOKS AND BURIALS TELL US (Q and A)

Class 6 

Our Pasts 

WHAT BOOKS AND BURIALS TELL US 

Q & A based on NCERT Chapter

Megalith with port holes called cists

Q1: How many Vedas are there? Name them.

Answer: There are four Vedas. These are:
1. The Rigveda
2. The Samveda
3. The Yajurveda
4. The Atharveda


Q2: Name the oldest Veda.

Answer: The Rigveda. It was composed 3500 years ago.


Q3: Name the plant mentioned in the Rigveda which was used to prepare a special drink.

Answer: Soma


Q4: In which language The Rigveda was written?

Answer: Vedic Sanskrit


Q5: Give examples of Indo-European languages.

Answer: Sanskrit, Assamese, Gujarati, Hindi, Kashmiri, English, German