1. Euclid's Division Lemma 2. Euclid's Division Algorithm 3. Prime Factorization 4. Fundamental Theorem of Arithmetic 5. Decimal expansion of rational numbers 1. To express the division of numbers as dividend = (divisor x quotient)+ remainder and generalise this relation for any positive integers a and b 2. To understand Euclid's Division lemma. 3. To understand the difference between Euclid's Division Lemma and Euclid's Division Algorithm 4. To be able to find out HCF of two given numbers using Euclid's Algorithm. 5. To be able to find HCF and LCM using prime factorization 6. To be able to use the formula HCF X LCM = Product of two numbers 7. To be able to understand Fundamental Theorem of Arithmetic. 8. To be able to express every composite number as product of prime numbers. 9. To be able to define rational numbers on the basis of their decimal expansions. 10. To be able to segregate rational numbers from irrational numbers on the basis of their decimal expansions. 11. To be able to tell whether the given rational number is terminating decimal or non-terminating decimal by looking at its denominator.

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1. 1. Real Numbers

Electric current, potential difference and electric current. Ohm’s law; Resistance, Resistivity, Factors on which the resistance of a conductor depends. Series combination of resistors, parallel combination of resistors and its applications in daily life. Heating effect of electric current and its applications in daily life. Electric power, Interrelation between P, V, I and R.

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1. 1. Electricity

Chemical equation, Balanced chemical equation, implications of a balanced chemical equation, types of chemical reactions: combination, decomposition, displacement, double displacement, precipitation, neutralization, oxidation and reduction.

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1. 1. Chemical Reactions

Standard form of a quadratic equation ax2 + bx + c = 0, (a ≠ 0). Solutions of quadratic equations (only real roots) by factorization, and by using quadratic formula. Relationship between discriminant and nature of roots. Situational problems based on quadratic equations related to day to day activities to be incorporated.

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1. 1. Quadratic Equations

Series combination of resistors, parallel combination of resistors and its applications in daily life. Heating effect of electric current and its applications in daily life

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1. 1. Electricity Important Questions

Their definitions in terms of furnishing of H+ and OH– ions, General properties, examples and uses, concept of pH scale (Definition relating to logarithm not required), importance of pH in everyday life; preparation and uses of Sodium Hydroxide, Bleaching powder, Baking soda, Washing soda and Plaster of Paris.

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1. 1. Acids, Bases and Salts

Motivation for studying Arithmetic Progression Derivation of the nth term and sum of the first n terms of an A.P. and their application in solving daily life problems.

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1. 1. Arithmetic Progressions

Magnetic field, field lines, field due to a current carrying conductor, field due to current carrying coil or solenoid; Force on current carrying conductor, Fleming’s Left Hand Rule, Electric Motor, Electromagnetic induction. Induced potential difference, Induced current. Fleming’s Right Hand Rule, Electric Generator, Direct Current. Alternating current: frequency of AC. Advantage of AC over DC. Domestic electric circuits.

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1. 1. Magnetic effects of current

preparation and uses of Sodium Hydroxide, Bleaching powder, Baking soda, Washing soda and Plaster of Paris.Also, some important cbse questions on acids, bases and salts.

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1. 1. Preparations of different Salts

Review: Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division). Area of a triangle.

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1. 1. Lines (In two-dimensions)

Electromagnetic induction. Induced potential difference, Induced current. Fleming’s Right Hand Rule, Electric Generator, Direct Current. Alternating current: frequency of AC. Advantage of AC over DC. Domestic electric circuits.

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1. 1. Electric Motor and Generator

Properties of metals and non-metals; Reactivity series; Formation and properties of ionic compounds; Basic metallurgical processes; Corrosion and its prevention.

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1. 1. Metals And Non-Metals

Clear his/her doubts of any chapter, any questions, any subjects

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1. 1. Physics, Chemistry & Mathematics

Definitions, examples, counter examples of similar triangles.

• Topics

1. 1. Triangles

Different forms of energy, conventional and non-conventional sources of energy : Fossil fuels, solar energy; biogas; wind, water and tidal energy; Nuclear energy. Renewable versus non-renewable sources of Energy.

• Topics

1. 1. Sources Of Energy

Covalent bonding in carbon compounds. Versatile nature of carbon. Homologous series. Nomenclature of carbon compounds containing functional groups (halogens, alcohol, ketones, aldehydes, alkanes and alkynes),

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1. 1. Carbon Compounds

5. (Motivate) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar. 6. (Motivate) If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse, the triangles on each side of the perpendicular are similar to the whole triangle and to each other. 7. (Prove) The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides. 8. (Prove) In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. 9. (Prove) In a triangle, if the square on one side is equal to sum of the squares on the other two sides, the angles opposite to the first side is a right angle.

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1. 1. Triangles

Nuclear energy. Renewable versus non-renewable sources of Energy.

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1. 1. Sources Of Energy Important questions

the difference between saturated hydrocarbons and unsaturated hydrocarbons. Chemical properties of carbon compounds (combustion, oxidation, addition and substitution reaction). Ethanol and Ethanoic acid (only properties and uses), soaps and detergents.

• Topics

1. 1. Carbon & its Compounds

Doubt Session on Physics, Chemistry & Mathematics

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1. 1. Maths, Physics and Chemistry

Tangent to a circle at, point of contact.

• Topics

1. 1. Circles

Provides comprehensive answers to all the questions asked in the chapter The language used is lucid and can be understood by all The information provided is genuine and appropriate These solutions can be referred for CBSE exams, Olympiads and other competitive exams Concise answers provided to help students understand better

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1. 1. Reflection of Light

Important cbse ncert questions of Carbon and its compounds

• Topics

1. 1. Carbon & its compounds

Division of a line segment in a given ratio (internally). Tangent to a circle from a point outside it. Construction of a triangle similar to a given triangle.

• Topics

1. 1. Constructions

Refraction; Laws of refraction, refractive index. Refraction of light by the spherical lens; Image formed by spherical lenses; Lens formula (Derivation not required); Magnification. Power of a lens.

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1. 1. Refraction Of Light

Need for classification, early attempts at classification of elements (Dobereiner’s Triads, Newland’s Law of Octaves, Mendeleev’s Periodic Table), Modern periodic table, gradation in properties, valency, atomic number, metallic and non-metallic properties.

• Topics

1. 1. Periodic Classification Of Elements

Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined); motivate the ratios, whichever are defined at 0° and 90°. Values (with proofs) of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.

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1. 1. Introduction To Trigonometry

Functioning of a lens in the human eye, defects of vision and their corrections, applications of spherical mirrors and lenses. Refraction of light through a prism, dispersion of light, scattering of light, applications in daily life.

• Topics

1. 1. Human Eye & The Colorful World

Dobereiner’s Triads, Newland’s Law of Octaves, Mendeleev’s Periodic Table), Modern periodic table, gradation in properties, valency, atomic number, metallic and non-metallic properties.

• Topics

1. 1. Periodic Classification Of Elements

Trigonometric Identities – Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given. Trigonometric ratios of complementary angles.

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1. 1. Trigonometric Identities

Functioning of a lens in human eye, defects of vision and their corrections, applications of spherical mirrors and lenses. Refraction of light through a prism, dispersion of light, scattering of light, applications in daily life.

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1. 1. Human Eye

Important cbse questions

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1. 1. Important CBSE NCERT Questions

Simple and believable problems on heights and distances. Problems should not involve more than two right triangles. Angles of elevation/depression should be only 30°, 45°, 60°.

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1. 1. Heights and Distances

Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter/circumference of the above-said plane figures. (In calculating the area of a segment of a circle, problems should be restricted to the central angle of 60°, 90° and 120° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).

• Topics

1. 1. Areas Related to Circles

a. Problems on finding surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones. Frustum of a cone. b. Problems involving converting one type of metallic solid into another and other mixed problems

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1. 1. Surface Areas and Volumes

Ex 13.3 Conversion of Solid from One Shape to Another Ex 13.4 Frustum of a Cone

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1. 1. Volume of 3D Figures

Mean, median and mode of grouped data (bimodal situation to be avoided). Cumulative frequency graph.

• Topics

1. 1. Statistics

Classical definition of probability. Simple problems on single events (not using set notation).

• Topics

1. 1. Probability

Important CBSE previous Year questions full syllabus

• Topics

1. 1. Previous Year CBSE Question Revision

Important CBSE Previous Year questions full syllabus

• Topics

1. 1. Previous Year CBSE Questions Rivision