NCERT Solutions Class 11 Biology Chapter 1 The Living World

Biology NCERT Solutions Class 11 1st Chapter the Living World: Our NCERT Solutions are very concise to help students learn difficult concepts. NCERT Solutions contains all of the answers to intext questions, exercise questions, and back-of-chapter questions.

Our NCERT Solutions Class 11 has thoroughly covered all of the topics. The following are important topics covered in the chapter:

·       The Living World - The living world is anything and everything that exists around us. All living organisms, including plants, animals, and microorganisms, comprise the living world. For billions of years, our living world has been constantly evolving. Organic and inorganic matter make up all living organisms. Every living thing contains DNA.

·       What exactly is 'Living'? – Living refers to anything that is alive and capable of growing, moving, reproducing, respiring, and carrying out various cellular activities.

·       Diversity in the Living World - The most amazing aspect of the living world is the vibrant diversity of living organisms. Every living organism differs from the next in numerous ways. Some may differ due to different bodily structures, others due to habit, and still others due to their habitat of existence.

·       Taxonomic Categories – all living organisms are majorly categorized into 7 different categories namely Kingdom Phylum Class Order Family Genus Species

·       Taxonomical Aids – the process of collections of samples or preserved organisms for scientific research to help us identify taxonomic hierarchy. Taxonomic categorization is a way to identify necessary organisms for agriculture, industry, bioresearches, etc. Taxonomical aids are needed for:

Taxonomic studies of different species of animals, plants, and other organisms.

 Identification of organisms is essential for field and laboratory studies. Botanical

 Garden Zoological Parks Herbarium Museum

 NCERT Solutions Class 11 Biology is one of the most intuitive study materials one can find online. As suggested by our experts at the Sarthaks refer to our solutions for scoring good marks in their exams.

NCERT Solutions Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

Class 11 Math's NCERT Solutions Chapter 5: Complex Numbers and Quadratic Equations—All NCERT solutions for Class 11 Math's Chapter 5 are available below. This solution contains questions, answers, images, and explanations for the entire class 11 chapter 5, titled "Of Complex Numbers and Quadratic Equations. If you are a Class 11 student using an NCERT textbook to study math, you will come across Chapter 5: Complex Numbers and Quadratic Equations. After studying the lesson, you should be looking for answers to its questions. Complete NCERT Solutions for Class 11 Math's Chapter 5: Complex Numbers and Quadratic Equations can be found here.

The NCERT Solutions for Class 11 Math's Chapter 5: Complex Numbers and Quadratic Equations from sarthaks.com include all of the questions from NCERT Books prepared by Mathematics expert teachers in accordance with CBSE NCERT guidelines. To help you score higher in your board exams and competitive exams, download our free pdf of Chapter 5: Complex Numbers and Quadratic Equations Math's NCERT Solutions for Class 11.

NCERT Solutions Class 11 covers all important topics one needs for exam preparation.

·   Complex numbers are required because they are used extensively in mathematics and physics. A complex number can be used to solve quadratic equation zeros. If we come across a negative in any square root, we can use complex numbers to simplify the zero. Complex numbers have applications in electronics and electromagnetism.

·        Algebraic properties of complex numbers – for complex numbers the properties of addition and multiplication are the same.

o   Closure property of addition – for any two complex numbers y1 and y2 the sum of y1 + y2 is also a complex number.

o   The commutative property – for any two complex numbers y1 and y2 we have y1 + y2 = y2 + y1

o   The associative property – for any two complex numbers y1, y2, and y3 we have (y1+y2)+y3 = y1+(y2+y3)

o   The additive identity – there exists a complex number 0 = 0+0i such that, for every complex number y, y + 0 = 0 + y = y. the complex number 0 = 0+0i is called the additive identity of complex number.

o   The additive inverse – for every complex number y there exists a complex number –y such that y+(-y) = (-y)+y = 0. –y is called the additive inverse of z.

 

·       Argand plane and polar representation of complex numbers – the complex number x+iy refers to the ordered pair (x,y) is geometrically represented as the unique point (x,y) in the XY- plane. For example, the complex number, 2+7i corresponds to the ordered pair (2,7) geometrically, and in the same way ordered pair -3+8i refers to the (-3,2).

·       Statement of Fundamental Theorem of Algebra – every polynomial equation of degree n also has complex number coefficients has n number of roots or solutions.

·       Solution of quadratic equations in the complex number system

·       Square root of a complex number

 NCERT Solutions Class 11 Maths is an important part of students’ preparation for their boards and competitive exam preparation.

NCERT Solutions Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure

Class 11 Chemistry NCERT Solutions Chapter 4 Chemical Bonding and Molecular Structure - Our solution is extremely beneficial for the preparation board exam. This NCERT Solution is an excellent study resource for mastering subject fundamentals. In-text questions and exercise questions have been thoroughly discussed in our NCERT Solutions Class 11 Chemistry Chapter 4 Chemical Bonding and Molecular Structure. This chapter covers a variety of topics.

·       Chemical bonding – Chemical bonding is the force of attraction between two chemicals that keep them attracted to each other. These connections are formed between atoms, ions, or molecules. Chemical bonds play an important role in the formation of chemical compounds.

·       Molecular structure – Molecular structure refers to the three-dimensional arrangement of molecules. The location of atoms but not electrons is described by a molecular structure.

·       Kossel-Lewis Method for Chemical Bonding - The formation of chemical bonds between two atoms was explained by Kossel-Lewis. They developed the electron theory of valence to explain the formation of the chemical bond.

·       Ionic or Electrovalent Bond - An ionic or electrovalent bond is formed when two oppositely charged ions come together. A chemical bond is formed by a positively and negatively charged particle. The positively charged ion is known as a cation, while the negatively charged ion is known as an anion.

·       Bond Parameters - To become stable, different atoms form a chemical bond. An anionic or electrovalent bond, a covalent bond, and a coordinate bond are all examples of bonds. This demonstrates that every bond possesses some properties. These bond properties are referred to as bond properties.

·       Valence Bond Theory - The valence bond theory explains electron density in a covalent bond by overlapping their valence atomic orbitals. This results in the formation of an electron pair density between the two atoms. Because these electrons are attracted to both nuclei, they hold the two atoms together.

·       Hybridization - The formation of a completely new orbital by combining two or more atomic orbitals from the same atom is known as hybridization. Hydrogen Bonding - A hydrogen bond is the electrostatic force of attraction between hydrogen atoms. Our NCERT Solutions Class 10 Chemistry course covers a wide range of topics.