dktanwar225@gmail.com - Page 21 of 32

Equilibrium Explained – Types, Examples & Applications

dktanwar225@gmail.com / June 18, 2025

What is Equilibrium? Equilibrium is a state where opposing forces or processes are balanced, resulting in no net change over time. This fundamental concept appears in: Chemistry (reaction balance) Physics (mechanical stability) Economics (market prices) Biology (homeostasis) I. Chemical Equilibrium Dynamic Balance in Reactions When forward/reverse reaction rates equalize, concentrations stabilize: aA+bB⇌cC+dDaA+bB⇌cC+dD Key Characteristics: Rates: $Rate_{forward} = Rate_{reverse}$ Constant […]

Mathematics

Mean Median Mode – Definitions, Formulas and Examples

dktanwar225@gmail.com / June 17, 2025

Understanding mean median mode is essential for anyone studying mathematics, statistics, data science, economics, or social sciences. These three terms represent the measures of central tendency, which describe the center or average of a data set. Whether you’re analysing test scores, salaries, survey results, or experimental data, these tools help simplify and interpret numerical information

Class 11

Class 11 Maths NCERT Solutions Chapter 6-Linear Inequalities

dktanwar225@gmail.com / June 17, 2025

Class 11 Maths NCERT Solutions Chapter 6:Linear Inequalities Ex6.1 Question 1: Ans: Question 2: Ans: Question 3: Ans: Question 4: Ans: Question 5: Ans: Question 6: Ans: Question 7: Ans: Question 8: Ans: Question 9: Ans: Question 10: Ans: Question 11: Ans: Question 12: Ans: Question 13: Ans: Question 14: Ans: Question 15: Ans: Question

Mathematics

Surface Area of Sphere – Formula, Derivation, Examples & Real-Life Uses

dktanwar225@gmail.com / June 16, 2025

Understanding the surface area of sphere is essential in both academic mathematics and various practical fields like physics, engineering, architecture, and space science. A sphere is a perfectly symmetrical 3D shape where every point on the surface is equidistant from the centre. Think of planets, basketballs, bubbles — all are spherical in nature. This comprehensive

Class 11

Class 11 Maths NCERT Solutions Chapter 5-Complex Numbers

dktanwar225@gmail.com / June 16, 2025

Class 11 Maths NCERT Solutions Chapter 5:Complex Numbers Ex5.1 Question 1: Ans: Question 2: Ans: Question 3: Ans: Question 4: Ans: Question 5: Ans: Question 6: Ans: Question 7: Ans: Question 8: Ans: Question 9: Ans: Question 10: Ans: Question 11: Ans: Question 12: Ans: Question 13: Ans: Question 14: Ans: Ex 5.2 Question

Class 11

Class 11 Maths NCERT Solutions Chapter 4-Principle of Mathematical Induction

dktanwar225@gmail.com / June 15, 2025

Class 11 Maths NCERT Solutions Chapter 4 : Principle of Mathematical Induction Ex 4.1 Question 1: Ans : Question 2: Ans : Let the given statement be P(n), i.e., P(n) = 13 + 23 + 33 + …………. + n3 = (n(n+1)2)2. For n = 1, we have P(1) : 13 = 1 = (1(1+1)2)2=(122)2 = 12 = 1 which is true.

Mathematics

Perimeter of Rectangle – Formula, Examples, Real-Life Applications & Tips

dktanwar225@gmail.com / June 15, 2025

The perimeter of rectangle is one of the most fundamental concepts in mathematics, especially in geometry. It not only appears frequently in school-level exams but also forms the basis of calculations used in architecture, engineering, interior design, and construction. This guide will explain everything you need to know about the perimeter of a rectangle —

Mathematics, Blog

Integration Formulas – Complete List with Examples and Tips to Master

dktanwar225@gmail.com / June 14, 2025

Integral calculus is a core component of higher mathematics and one of the most powerful tools in the analytical toolkit of students, engineers, and scientists. At the heart of integral calculus lie integration formulas, which allow us to find the area under curves, solve differential equations, and understand accumulation processes. Whether you’re preparing for competitive

Blog, Mathematics

Trigonometry Formula – Complete Guide for Students and Learners

dktanwar225@gmail.com / June 13, 2025

Trigonometry, a crucial branch of mathematics, finds its application in geometry, physics, engineering, and even in daily problem-solving. At the heart of trigonometry lies a powerful set of equations known as trigonometry formulas. Whether you are a student preparing for exams or a professional brushing up on the basics, having a solid grasp of these

Physics, Blog

Concave Mirror – Ray Diagrams, Formula & Real-Life Uses

dktanwar225@gmail.com / June 12, 2025

A concave mirror (or converging mirror) is a spherical mirror with a reflecting surface curved inward. Unlike flat mirrors, concave mirrors focus light to a single point, making them essential in telescopes, headlights, and scientific instruments. Key Properties: Converges parallel light rays Forms real or virtual images Has a positive focal length Used for magnification and focusing Basic Terminology Term Symbol Definition Pole (P) P

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