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Real Numbers

Articles on Real Numbers for CBSE Class 10 Board.

187 articles · page 15 of 19

Criteria for Similarity of Triangles for CBSE Class 10 Mathematics

Master the criteria for similarity of triangles for CBSE Class 10 Mathematics. Learn the AAA, AA, SSS, and SAS similarity criteria, vertex correspondence, ratio proportionality, and solving shadow and geometry board problems.

6 min read

Similar Figures and Basic Proportionality Theorem for CBSE Class 10

Master similar figures and the Basic Proportionality Theorem (Thales' Theorem) for CBSE Class 10 Mathematics. Learn the definition of similarity, full geometric proof of BPT, its converse, corollaries, and solved board exam riders.

6 min read

Soaps, Detergents, and Cleansing Action of Micelles for CBSE Class 10

Master soaps, synthetic detergents, and the cleansing action of micelles for CBSE Class 10 Science. Understand hydrophobic tails, hydrophilic heads, emulsion mechanisms, why soap fails in hard water (scum), and why detergents work in hard water.

5 min read

Ethanol and Ethanoic Acid: Properties and Reactions for CBSE Class 10

Master the properties and reactions of Ethanol and Ethanoic Acid for CBSE Class 10 Science. Learn esterification, saponification, reactions with sodium, dehydration, glacial acetic acid, and the chemical test to distinguish alcohol from acid.

5 min read

Chemical Properties of Carbon Compounds for CBSE Class 10 Science

Master the chemical properties of carbon compounds for CBSE Class 10 Science. Detailed study of combustion reactions, oxidation with alkaline KMnO4, addition reactions (hydrogenation of oils), and substitution reactions with board exam equations.

6 min read

Homologous Series and Nomenclature of Carbon Compounds for CBSE Class 10

Master homologous series, functional groups, and IUPAC nomenclature of carbon compounds for CBSE Class 10 Science. Learn alkanes, alkenes, alkynes, haloalkanes, alcohols, aldehydes, ketones, and carboxylic acids with structural isomerism.

5 min read

Covalent Bonding in Carbon and Versatile Nature of Carbon for CBSE Class 10

Master covalent bonding in carbon and its versatile nature for CBSE Class 10 Science. Understand why carbon forms covalent bonds instead of ionic bonds, electron dot structures, catenation, tetravalency, and allotropes like diamond, graphite, and fullerenes.

6 min read

Applications and Word Problems on Arithmetic Progressions for CBSE Class 10

Master real-world word problems on Arithmetic Progressions for CBSE Class 10 Mathematics. Learn step-by-step solutions for installment loans, the 200 logs stacking problem, the potato race, and uniform manufacturing growth with board exam templates.

7 min read

Sum of the First n Terms of an AP and Its Properties for CBSE Class 10

Master the sum of the first n terms of an Arithmetic Progression for CBSE Class 10 Mathematics. Learn the derivation of Sn = n/2[2a + (n-1)d], the last-term formula Sn = n/2(a + l), the an = Sn - Sn-1 relation, and solved board exam questions.

7 min read

Arithmetic Mean and Selection of Terms in an AP for CBSE Class 10

Master the Arithmetic Mean and symmetric term selection techniques for CBSE Class 10 Mathematics. Learn to set up 3, 4, and 5 terms in an AP, solve geometry angle problems, and tackle high-weightage board exam questions with algebraic efficiency.

7 min read